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Nonlinear Dynamics

An International Journal of Nonlinear Dynamics and Chaos in Engineering Systems

Short Title: Nonlinear Dyn.
Publisher: Springer Netherlands, Dordrecht
ISSN: 0924-090X; 1573-269X/e
Online: https://link.springer.com/journal/11071/volumes-and-issues
Comments: Journal
Documents Indexed: 5,032 Publications (since 1997)
References Indexed: 4,469 Publications with 155,327 References.
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Latest Issues

112, No. 7 (2024)
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90, No. 4 (2017)
90, No. 3 (2017)
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89, No. 4 (2017)
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...and 248 more Volumes
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Authors

45 Nayfeh, Ali Hasan
45 Park, Juhyun (Jessie)
38 Cao, Jinde
30 Zhang, Wei
29 Machado, José António Tenreiro
25 Băleanu, Dumitru I.
25 Biswas, Anjan
24 Shabana, Ahmed A.
22 Llibre, Jaume
22 Vakakis, Alexander F.
22 Wang, Xingyuan
21 Chen, Zengqiang
21 Rand, Richard H.
20 van Horssen, Wilhem Teunis
20 Zhou, Qin
20 Zhu, Weiqiu
19 Awrejcewicz, Jan
19 Ding, Feng
19 Liao, Xiaofeng
19 Tian, Bo
18 Ahn, Choon Ki
18 Belhaq, Mohamed
18 Chen, Lansun
18 Mahomed, Fazal M.
18 Mirzazadeh, Mohammad
17 Chen, Liqun
17 Gendelman, Oleg V.
17 Lamarque, Claude-Henri
16 Gao, Yitian
16 Kara, Abdul Hamid
15 Balthazar, José Manoel
15 Hayat, Tasawar
15 Liu, Wenjun J.
15 Xu, Wei
15 Yabuno, Hiroshi
14 Aghababa, Mohammad Pourmahmood
14 Balasubramaniam, Pagavathigounder
14 Luongo, Angelo
14 Mobayen, Saleh
13 Bergman, Lawrence A.
13 Chen, Guanrong
13 Chen, Yangquan
13 Fang, Jian’an
13 Hu, Haiyan
13 Lü, Xing
13 Wang, Zuolei
13 Yoo, Sung Jin
12 Lee, S. M.
12 Li, Chuandong
12 Maccari, Attilio
12 Rakkiyappan, Rajan
12 Rega, Giuseppe
12 Sakthivel, Rathinasamy
12 Shang, Pengjian
12 Tong, Shaocheng
12 Zhou, Wuneng
11 Belić, Milivoj R.
11 Chatterjee, Anindya
11 Ibragimov, Nail Hairullovich
11 Liu, Shutang
11 Liu, Zhi
11 Mahmoud, Gamal M.
11 Natsiavas, Sotirios
11 Oustaloup, Alain
11 Shi, Xuerong
11 Stépán, Gábor
11 Yang, Qigui
11 Yao, Minghui
11 Zhang, Yun
11 Zhong, Shou-Ming
10 Algaba, Antonio
10 Butcher, Eric A.
10 Danca, Marius-Florin
10 Hajj, Muhammad R.
10 Huang, Lihong
10 Jiang, Weihua
10 Li, Tieshan
10 Pilipchuk, Valery N.
10 Qi, Guoyuan
10 Rodríguez-Luis, Alejandro J.
10 Sinha, Subhash C.
10 Xu, Yuhua
10 Younesian, Davood
10 Zhu, Quanxin
10 Zotos, Euaggelos E.
9 Bi, Qinsheng
9 Chen, Chun Lung Philip
9 Chen, Ye-Hwa
9 Ekici, Mehmet
9 Feeny, Brian F.
9 Feng, Jianwen
9 Huang, Tingwen
9 Kwon, Ohmin
9 Lenci, Stefano
9 Li, Yongming
9 Liu, Chongxin
9 Ma, Junhai
9 Ma, Wen-Xiu
9 Neild, Simon A.
9 Nijmeijer, Henk
...and 7,887 more Authors
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Fields

1,596 Systems theory; control (93-XX)
1,449 Ordinary differential equations (34-XX)
1,317 Mechanics of particles and systems (70-XX)
1,256 Dynamical systems and ergodic theory (37-XX)
690 Mechanics of deformable solids (74-XX)
586 Partial differential equations (35-XX)
552 Biology and other natural sciences (92-XX)
234 Information and communication theory, circuits (94-XX)
228 Fluid mechanics (76-XX)
186 Numerical analysis (65-XX)
134 Operations research, mathematical programming (90-XX)
131 Computer science (68-XX)
126 Real functions (26-XX)
117 Optics, electromagnetic theory (78-XX)
100 Probability theory and stochastic processes (60-XX)
89 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
59 Calculus of variations and optimal control; optimization (49-XX)
57 Difference and functional equations (39-XX)
44 Statistics (62-XX)
40 Statistical mechanics, structure of matter (82-XX)
37 Combinatorics (05-XX)
22 Quantum theory (81-XX)
22 Geophysics (86-XX)
21 Operator theory (47-XX)
21 Global analysis, analysis on manifolds (58-XX)
18 Special functions (33-XX)
16 Measure and integration (28-XX)
16 Integral equations (45-XX)
16 Classical thermodynamics, heat transfer (80-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
12 Approximations and expansions (41-XX)
11 History and biography (01-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
9 General and overarching topics; collections (00-XX)
9 Astronomy and astrophysics (85-XX)
7 Differential geometry (53-XX)
4 Nonassociative rings and algebras (17-XX)
3 Mathematical logic and foundations (03-XX)
3 Number theory (11-XX)
3 Topological groups, Lie groups (22-XX)
3 Integral transforms, operational calculus (44-XX)
3 Functional analysis (46-XX)
3 Relativity and gravitational theory (83-XX)
2 Potential theory (31-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Commutative algebra (13-XX)
1 Group theory and generalizations (20-XX)
1 Manifolds and cell complexes (57-XX)

Publications by Year

Citations contained in zbMATH Open

4,518 Publications have been cited 51,757 times in 28,361 Documents Cited by Year
A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
910
2002
Stability analysis of linear fractional differential system with multiple time delays. Zbl 1185.34115
Deng, Weihua; Li, Changpin; Lü, Jinhu
393
2007
Variable order and distributed order fractional operators. Zbl 1018.93007
Lorenzo, Carl F.; Hartley, Tom T.
388
2002
A general formulation and solution scheme for fractional optimal control problems. Zbl 1121.70019
Agrawal, Om Prakash
310
2004
Solution for a fractional diffusion-wave equation defined in a bounded domain. Zbl 1009.65085
Agrawal, Om P.
261
2002
Spectral properties of dynamical systems, model reduction and decompositions. Zbl 1098.37023
Mezić, Igor
209
2005
Discrete fractional logistic map and its chaos. Zbl 1281.34121
Wu, Guo-Cheng; Baleanu, Dumitru
201
2014
Time fractional diffusion: A discrete random walk approach. Zbl 1009.82016
Gorenflo, Rudolf; Mainardi, Francesco; Moretti, Daniele; Paradisi, Paolo
198
2002
Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation. Zbl 1345.65060
Bhrawy, A. H.; Zaky, M. A.
149
2015
Lump solutions to dimensionally reduced \(p\)-gKP and \(p\)-gBKP equations. Zbl 1354.35127
Ma, Wen Xiu; Qin, Zhenyun; Lü, Xing
137
2016
Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation. Zbl 1355.35159
Lü, Xing; Ma, Wen-Xiu
132
2016
The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview. Zbl 1103.70011
Kerschen, Gaetan; Golinval, Jean-Claude; Vakaris, Alexander F.; Bergman, Lawrence A.
128
2005
Anlogue realizations of fractional-order controllers. Zbl 1041.93022
Podlubny, I.; Petráš, I.; Vinagre, B. M.; O’Leary, P.; Dorčák, L’.
125
2002
Bifurcations in nonlinear discontinuous systems. Zbl 0980.70018
Leine, R. I.; van Campen, D. H.; van de Vrande, B. L.
125
2000
Noether-type symmetries and conservation laws via partial Lagrangians. Zbl 1121.70014
Kara, A. H.; Mahomed, F. M.
121
2006
Stability analysis of Caputo fractional-order nonlinear systems revisited. Zbl 1243.93081
Delavari, Hadi; Baleanu, Dumitru; Sadati, Jalil
119
2012
Adaptive synchronization of fractional-order memristor-based neural networks with time delay. Zbl 1348.93159
Bao, Haibo; Park, Ju H.; Cao, Jinde
113
2015
Fractional conservation laws in optimal control theory. Zbl 1170.49017
Frederico, Gastão S. F.; Torres, Delfim F. M.
112
2008
Soliton solutions for the fifth-order KdV equation with the homotopy analysis method. Zbl 1170.76317
Abbasbandy, S.; Zakaria, F. Samadian
111
2008
Comparison between the HAM and HPM solutions of thin film flows of non-Newtonian fluids on a moving belt. Zbl 1181.76031
Sajid, M.; Hayat, T.; Asghar, S.
110
2007
Exponential input-to-state stability of stochastic Cohen-Grossberg neural networks with mixed delays. Zbl 1345.92019
Zhu, Quanxin; Cao, Jinde; Rakkiyappan, R.
108
2015
Conservation laws for time-fractional subdiffusion and diffusion-wave equations. Zbl 1345.35131
Lukashchuk, Stanislav Yu.
98
2015
A general mechanism to generate three limit cycles in planar Filippov systems with two zones. Zbl 1314.37031
Freire, Emilio; Ponce, Enrique; Torres, Francisco
94
2014
Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation. Zbl 1349.35007
Lü, Xing; Chen, Shou-Ting; Ma, Wen-Xiu
93
2016
Global Mittag-Leffler stability and synchronization of impulsive fractional-order neural networks with time-varying delays. Zbl 1331.93102
Stamova, Ivanka
92
2014
Homotopy solutions for a generalized second-grade fluid past a porous plate. Zbl 1094.76005
Hayat, Tasawar; Khan, Masood
90
2005
Analytical stability bound for a class of delayed fractional-order dynamic systems. Zbl 1020.34064
Chen, Yangquan; Moore, Kevin L.
89
2002
Dynamics and control of initialized fractional-order systems. Zbl 1021.93019
Hartley, Tom T.; Lorenzo, Carl F.
88
2002
Fractional-order delayed predator-prey systems with Holling type-II functional response. Zbl 1345.92123
Rihan, F. A.; Lakshmanan, S.; Hashish, A. H.; Rakkiyappan, R.; Ahmed, E.
88
2015
Lie symmetry analysis of differential equations in finance. Zbl 0929.35006
Gazizov, R. K.; Ibragimov, N. H.
86
1998
Complete synchronization of chaotic complex nonlinear systems with uncertain parameters. Zbl 1215.93114
Mahmoud, Gamal M.; Mahmoud, Emad E.
86
2010
Fractional integration and differentiation of variable order: an overview. Zbl 1268.34025
Samko, Stefan
85
2013
A review of operational matrices and spectral techniques for fractional calculus. Zbl 1348.65106
Bhrawy, Ali H.; Taha, Taha M.; Tenreiro Machado, José A.
85
2015
Finite-time stability analysis of fractional-order complex-valued memristor-based neural networks with time delays. Zbl 1331.34154
Rakkiyappan, R.; Velmurugan, G.; Cao, Jinde
84
2014
Maximum number of limit cycles for certain piecewise linear dynamical systems. Zbl 1348.34065
Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A.
83
2015
A two-grid finite element approximation for a nonlinear time-fractional Cable equation. Zbl 1349.65429
Liu, Yang; Du, Yan-Wei; Li, Hong; Wang, Jin-Feng
82
2016
Numerical solution of the Klein-Gordon equation via He’s variational iteration method. Zbl 1179.81064
Shakeri, Fatemeh; Dehghan, Mehdi
81
2008
Finite-time synchronization control for uncertain Markov jump neural networks with input constraints. Zbl 1331.92019
Shen, Hao; Park, Ju H.; Wu, Zheng-Guang
80
2014
Finite-time chaos control and synchronization of fractional-order nonautonomous chaotic (hyperchaotic) systems using fractional nonsingular terminal sliding mode technique. Zbl 1253.93016
Aghababa, Mohammad Pourmahmood
79
2012
Adaptive feedback control and synchronization of non-identical chaotic fractional order systems. Zbl 1194.93105
Odibat, Zaid M.
77
2010
Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane. Zbl 1281.34037
de Carvalho Braga, Denis; Mello, Luis Fernando
76
2013
Dynamical analysis of a prey-predator model with Beddington-DeAngelis type function response incorporating a prey refuge. Zbl 1345.92125
Tripathi, Jai Prakash; Abbas, Syed; Thakur, Manoj
76
2015
Finite-time synchronization of complex networks with nonidentical discontinuous nodes. Zbl 1281.34100
Yang, Xinsong; Wu, Zhiyou; Cao, Jinde
75
2013
A study of the nonlinear response of a resonant microbeam to an electric actuation. Zbl 1047.74027
Younis, M. I.; Nayfeh, A. H.
75
2003
Two analytical methods for time-fractional nonlinear coupled Boussinesq-Burger’s equations arise in propagation of shallow water waves. Zbl 1355.76015
Kumar, Sunil; Kumar, Amit; Baleanu, Dumitru
73
2016
Fractional control of heat diffusion systems. Zbl 1210.80008
Jesus, Isabel S.; Tenreiro Machado, J. A.
72
2008
\(p\)th moment exponential synchronization for stochastic delayed Cohen-Grossberg neural networks with Markovian switching. Zbl 1242.93126
Zhu, Quanxin; Cao, Jinde
71
2012
Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system. Zbl 1398.37090
Kuznetsov, N. V.; Leonov, G. A.; Mokaev, T. N.; Prasad, A.; Shrimali, M. D.
71
2018
Numerical algorithm for the variable-order Caputo fractional functional differential equation. Zbl 1349.65505
Bhrawy, A. H.; Zaky, M. A.
71
2016
Sampled-data-based lag synchronization of chaotic delayed neural networks with impulsive control. Zbl 1380.34082
Zhang, Xiaoyu; Lv, Xiaoxiao; Li, Xiaodi
69
2017
A numerical method for KdV equation using collocation and radial basis functions. Zbl 1185.76832
Dehghan, Mehdi; Shokri, Ali
68
2007
Fractional dynamical system and its linearization theorem. Zbl 1268.34019
Li, Changpin; Ma, Yutian
68
2013
Adaptive synchronization of uncertain dynamical networks with delayed coupling. Zbl 1182.92007
Lu, Jianquan; Cao, Jinde
67
2008
Analysis of thin beams and cables using the absolute nodal co-ordinate formulation. Zbl 1138.74391
Gerstmayr, Johannes; Shabana, Ahmed A.
65
2006
Multiple scales without center manifold reductions for delay differential equations near Hopf bifurcations. Zbl 1038.34075
Das, S. L.; Chatterjee, A.
65
2002
Global exponential stability for quaternion-valued recurrent neural networks with time-varying delays. Zbl 1371.93098
Liu, Yang; Zhang, Dandan; Lu, Jianquan
64
2017
Order reduction of retarded nonlinear systems - the method of multiple scales versus center-manifold reduction. Zbl 1170.70355
Nayfeh, Ali H.
63
2008
Chaos and Hopf bifurcation of a finance system. Zbl 1183.91193
Gao, Qin; Ma, Junhai
63
2009
Control of a class of fractional-order chaotic systems via sliding mode. Zbl 1242.93027
Chen, Di-yi; Liu, Yu-xiao; Ma, Xiao-yi; Zhang, Run-fan
63
2012
Finite time integral sliding mode control of hypersonic vehicles. Zbl 1281.70016
Sun, Haibin; Li, Shihua; Sun, Changyin
62
2013
New results on stability and stabilization of a class of nonlinear fractional-order systems. Zbl 1283.93138
Chen, Liping; He, Yigang; Chai, Yi; Wu, Ranchao
62
2014
Holling II predator-prey impulsive semi-dynamic model with complex Poincaré map. Zbl 1348.34042
Tang, Sanyi; Tang, Biao; Wang, Aili; Xiao, Yanni
62
2015
On exact solutions of a class of fractional Euler-Lagrange equations. Zbl 1170.70328
Baleanu, Dumitru; Trujillo, Juan J.
61
2008
Continued fraction expansion approaches to discretizing fractional order derivatives-an expository review. Zbl 1134.93300
Chen, Yangquan; Vinagre, Blas M.; Podlubny, Igor
61
2004
Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations. Zbl 1005.70019
Kalmár-Nagy, Tamás; Stépán, Gábor; Moon, Francis C.
61
2001
LMI-based stabilization of a class of fractional-order chaotic systems. Zbl 1268.93121
Faieghi, Mohammadreza; Kuntanapreeda, Suwat; Delavari, Hadi; Baleanu, Dumitru
60
2013
Formulating dynamic multi-rigid-body contact problems with friction as solvable linear complementarity problems. Zbl 0899.70005
Anitescu, M.; Potra, F. A.
59
1997
Abstract Cauchy problem for fractional differential equations. Zbl 1268.34034
Wang, Jinrong; Zhou, Yong; Feckan, Michal
58
2013
Adaptive synchronization of chaotic Cohen-Grossberg neural networks with mixed time delays. (Adaptive synchronization of chaotic Cohen-Crossberg neural networks with mixed time delays.) Zbl 1204.93064
Zhu, Quanxin; Cao, Jinde
58
2010
Secure communication based on chaotic synchronization via interval time-varying delay feedback control. Zbl 1215.93127
Kwon, O. M.; Park, Ju H.; Lee, S. M.
58
2011
Cellular buckling in long structures. Zbl 0974.74024
Hunt, G. W.; Peletier, M. A.; Champneys, A. R.; Woods, P. D.; Ahmer Wadee, M.; Budd, C. J.; Lord, G. J.
57
2000
Recursive parameter identification of the dynamical models for bilinear state space systems. Zbl 1377.93062
Zhang, Xiao; Ding, Feng; Alsaadi, Fuad E.; Hayat, Tasawar
57
2017
Predator cannibalism can give rise to regular spatial pattern in a predator-prey system. Zbl 1183.92084
Sun, Gui-Quan; Zhang, Guang; Jin, Zhen; Li, Li
57
2009
Analyses of the driver’s anticipation effect in a new lattice hydrodynamic traffic flow model with passing. Zbl 1306.90033
Gupta, Arvind Kumar; Redhu, Poonam
57
2014
Resonances of a harmonically forced Duffing oscillator with time delay state feedback. Zbl 0906.34052
Hu, Haiyan; Dowell, Earl H.; Virgin, Lawrence N.
56
1998
Piecewise linear differential systems with only centers can create limit cycles? Zbl 1390.34081
Llibre, Jaume; Teixeira, Marco Antonio
56
2018
A Legendre collocation method for distributed-order fractional optimal control problems. Zbl 1392.35331
Zaky, Mahmoud A.
56
2018
Using fractional order adjustment rules and fractional order reference models in model-reference adaptive control. Zbl 1031.93110
Vinagre, B. M.; Petráš, I.; Podlubny, I.; Chen, Y. Q.
56
2002
Global properties of a class of virus infection models with multitarget cells. Zbl 1254.92064
Elaiw, A. M.
56
2012
A hybrid computational approach for Klein-Gordon equations on Cantor sets. Zbl 1371.35326
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
56
2017
Fractional boundary value problems with singularities in space variables. Zbl 1268.34023
O’Regan, Donal; Staněk, Svatoslav
55
2013
A driver’s memory lattice model of traffic flow and its numerical simulation. Zbl 1242.90006
Peng, Guanghan; Nie, Fangyan; Cao, Binfang; Liu, Changqing
55
2012
Unknown input observer design for one-sided Lipschitz nonlinear systems. Zbl 1345.93104
Zhang, Wei; Su, Housheng; Zhu, Fanglai; Azar, Ghassan M.
55
2015
The effects of toxin-producing phytoplankton and environmental fluctuations on the planktonic blooms. Zbl 1390.92129
Yu, Xingwang; Yuan, Sanling; Zhang, Tonghua
54
2018
Several gradient-based iterative estimation algorithms for a class of nonlinear systems using the filtering technique. Zbl 1314.93013
Wang, Cheng; Tang, Tao
54
2014
Modified projective synchronization of fractional-order chaotic systems via active sliding mode control. Zbl 1253.93023
Wang, Xingyuan; Zhang, Xiaopeng; Ma, Chao
54
2012
Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations. Zbl 1349.37031
Kuznetsov, N. V.; Alexeeva, T. A.; Leonov, G. A.
54
2016
Lie-Bäcklund and Noether symmetries with applications. Zbl 0912.35011
Ibragimov, N. H.; Kara, A. H.; Mahomed, F. M.
53
1998
Tuning of PID controllers based on Bode’s ideal transfer function. Zbl 1134.93334
Barbosa, Ramiro S.; Machado, J. A. Tenreiro; Ferreira, Isabel M.
53
2004
A new numerical algorithm for fractional Fitzhugh-Nagumo equation arising in transmission of nerve impulses. Zbl 1390.35376
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
53
2018
Gradient-based identification methods for Hammerstein nonlinear ARMAX models. Zbl 1134.93321
Ding, Feng; Shi, Yang; Chen, Tongwen
53
2006
Envelope bright- and dark-soliton solutions for the Gerdjikov-Ivanov model. Zbl 1437.35635
Lü, Xing; Ma, Wen-Xiu; Yu, Jun; Lin, Fuhong; Khalique, Chaudry Masood
53
2015
On the nonlinear dynamical systems within the generalized fractional derivatives with Mittag-Leffler kernel. Zbl 1412.34012
Baleanu, Dumitru; Jajarmi, Amin; Hajipour, Mojtaba
53
2018
The description of localized normal modes in a chain of nonlinear coupled oscillators using complex variables. Zbl 1005.70023
Manevitch, L. I.
52
2001
Dynamic analysis and control of a new hyperchaotic finance system. Zbl 1242.91225
Yu, Haojie; Cai, Guoliang; Li, Yuxiu
52
2012
Adaptive fractional-order switching-type control method design for 3D fractional-order nonlinear systems. Zbl 1348.93216
Yin, Chun; Cheng, Yuhua; Chen, Yangquan; Stark, Brandon; Zhong, Shouming
52
2015
The \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation: nonlocal symmetries and interaction solutions. Zbl 1371.35004
Ren, Bo; Cheng, Xue-Ping; Lin, Ji
52
2016
Turing-Hopf bifurcation analysis of a predator-prey model with herd behavior and cross-diffusion. Zbl 1349.37091
Tang, Xiaosong; Song, Yongli; Zhang, Tonghua
52
2016
Dynamic pull-in phenomenon in MEMS resonators. Zbl 1177.74191
Nayfeh, Ali H.; Younis, Mohammad I.; Abdel-Rahman, Eihab M.
51
2007
Bifurcation analysis in a time-delay model for prey-predator growth with stage-structure. Zbl 1176.92056
Qu, Ying; Wei, Junjie
51
2007
Turing instability and Hopf bifurcation of a spatially discretized diffusive Brusselator model with zero-flux boundary conditions. Zbl 1523.34013
Li, Zunxian; Song, Yongli; Wu, Chufen
3
2023
Dynamical analysis of a fractional discrete-time vocal system. Zbl 1523.26004
Vignesh, D.; Banerjee, Santo
3
2023
Stability analysis of chaotic systems from data. Zbl 1517.37086
Margazoglou, Georgios; Magri, Luca
2
2023
New criteria for asymptotic stability of a class of nonlinear real-order time-delay systems. Zbl 1523.34082
Lenka, Bichitra Kumar; Bora, Swaroop Nandan
2
2023
Role of fractional derivatives in the mathematical modeling of the transmission of chlamydia in the United States from 1989 to 2019. Zbl 1523.92017
Vellappandi, M.; Kumar, Pushpendra; Govindaraj, V.
2
2023
Learning sparse nonlinear dynamics via mixed-integer optimization. Zbl 1523.37082
Bertsimas, Dimitris; Gurnee, Wes
2
2023
A \(2+1\) dimensional Volterra type system with nonzero boundary conditions via Dbar dressing method. Zbl 1523.35117
Liu, Tengfei
1
2023
Global studies on a continuous planar piecewise linear differential system with three zones. Zbl 1523.34035
Jia, Man; Su, Youfeng; Chen, Hebai
1
2023
A mathematical model reveals the influence of NPIs and vaccination on SARS-CoV-2 omicron variant. Zbl 1523.92018
Wang, Bin-Guo; Wang, Zhi-Cheng; Wu, Yan; Xiong, Yongping; Zhang, Jiangqian; Ma, Zhuihui
1
2023
Exact solutions to the fractional complex Ginzburg-Landau equation with time-dependent coefficients under quadratic-cubic and power law nonlinearities. Zbl 1523.35017
Wang, Lingyu; Gao, Ben
1
2023
Mathematical modeling on co-infection: transmission dynamics of Zika virus and Dengue fever. Zbl 1523.92015
Jose, Sayooj Aby; Raja, R.; Omede, B. I.; Agarwal, Ravi P.; Alzabut, J.; Cao, J.; Balas, V. E.
1
2023
Fredholm boundary-value problem for the system of fractional differential equations. Zbl 1523.34006
Boichuk, Oleksandr; Feruk, Viktor
1
2023
Stability and periodicity in a mosquito population suppression model composed of two sub-models. Zbl 1517.92021
Zhu, Zhongcai; Zheng, Bo; Shi, Yantao; Yan, Rong; Yu, Jianshe
11
2022
Analysis of lumps, single-stripe, breather-wave, and two-wave solutions to the generalized perturbed-KdV equation by means of Hirota’s bilinear method. Zbl 1519.35269
Alquran, Marwan; Alhami, Rahaf
10
2022
Nonlinear targeted energy transfer: state of the art and new perspectives. Zbl 1517.70041
Vakakis, Alexander F.; Gendelman, Oleg V.; Bergman, Lawrence A.; Mojahed, Alireza; Gzal, Majdi
7
2022
Parsimony as the ultimate regularizer for physics-informed machine learning. Zbl 1517.68337
Kutz, J. Nathan; Brunton, Steven L.
5
2022
Simple positivity-preserving nonlinear finite volume scheme for subdiffusion equations on general non-conforming distorted meshes. Zbl 1519.65030
Yang, Xuehua; Zhang, Haixiang; Zhang, Qi; Yuan, Guangwei
5
2022
Mathematical modeling on transmission and optimal control strategies of corruption dynamics. Zbl 1519.91201
Jose, Sayooj Aby; Raja, R.; Alzabut, J.; Rajchakit, G.; Cao, Jinde; Balas, Valentina E.
5
2022
Methods of continuation and their implementation in the COCO software platform with application to delay differential equations. Zbl 1517.65129
Ahsan, Zaid; Dankowicz, Harry; Li, Mingwu; Sieber, Jan
4
2022
A machine learning method for computing quasi-potential of stochastic dynamical systems. Zbl 1519.37046
Li, Yang; Xu, Shengyuan; Duan, Jinqiao; Liu, Xianbin; Chu, Yuming
3
2022
The focus case of a nonsmooth Rayleigh-Duffing oscillator. Zbl 1517.34045
Wang, Zhaoxia; Chen, Hebai; Tang, Yilei
2
2022
A novel dynamic model and the oblique interaction for ocean internal solitary waves. Zbl 1517.35187
Yu, Di; Zhang, Zongguo; Dong, Huanhe; Yang, Hongwei
2
2022
Local stability and Hopf bifurcations analysis of the Muthuswamy-Chua-Ginoux system. Zbl 1517.34055
Tian, Yuzhou; Huang, Bo
2
2022
Nonlinear dynamics for different nonautonomous wave structures solutions of a (4+1)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics. Zbl 1519.35267
Zhu, Wen-Hui; Liu, Fei-Yan; Liu, Jian-Guo
2
2022
Global existence and spatiotemporal pattern formation of a nutrient-microorganism model with nutrient-taxis in the sediment. Zbl 1519.92329
Gao, Jianping; Guo, Shangjiang; Ma, Li
2
2022
Transitions of zonal flows in a two-layer quasi-geostrophic ocean model. Zbl 1519.86001
Chekroun, Mickaël D.; Dijkstra, Henk; Şengül, Taylan; Wang, Shouhong
2
2022
Control of COVID-19 transmission dynamics, a game theoretical approach. Zbl 1519.92284
Matusik, R.; Nowakowski, A.
2
2022
Application of the dynamical system method and the deep learning method to solve the new (3+1)-dimensional fractional modified Benjamin-Bona-Mahony equation. Zbl 1523.35108
Liu, Qian; Zhou, Yuqian; Li, Kebing; Zhang, Shengning
2
2022
Dynamic behavior and stability analysis of nonlinear modes in the fourth-order generalized Ginzburg-Landau model with near \(\mathcal{PT}\)-symmetric potentials. Zbl 1517.35221
Zhang, Jia-Rui; Zhang, Jia-Qi; Zheng, Zhao-Lin; Lin, Da; Shen, Yu-Jia
1
2022
Forced sliding mode control for chaotic systems synchronization. Zbl 1520.93072
Kuz’menko, A. A.
1
2022
Analytical and numerical investigation on the tempered time-fractional operator with application to the Bloch equation and the two-layered problem. Zbl 1521.65073
Feng, Libo; Liu, Fawang; Anh, Vo V.; Qin, Shanlin
1
2022
A multicompartment mathematical model to study the dynamic behaviour of COVID-19 using vaccination as control parameter. Zbl 1519.92122
Kurmi, Sonu; Chouhan, Usha
1
2022
Practical tracking control under actuator saturation for a class of flexible-joint robotic manipulators driven by DC motors. Zbl 1520.93351
Li, Jian; Zhu, Lingling
1
2022
A complete description of the dynamics of legal outer-totalistic affine continuous cellular automata. Zbl 1519.37017
Wolnik, Barbara; Dembowski, Marcin; Augustynowicz, Antoni; De Baets, Bernard
1
2022
Nilpotent bi-center in continuous piecewise \(\mathbb{Z}_2\)-equivariant cubic polynomial Hamiltonian systems. Zbl 1519.34032
Chen, Ting; Li, Shimin; Llibre, Jaume
1
2022
On a multiple timescales perturbation approach for a Stefan problem with a time-dependent heat flux at the boundary. Zbl 1526.35218
Ihsan, A. F.; van Horssen, W. T.; Tuwankotta, J. M.
1
2022
Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types. Zbl 1516.35175
Lü, Xing; Chen, Si-Jia
43
2021
Input-to-state stability of impulsive reaction-diffusion neural networks with infinite distributed delays. Zbl 1517.93057
Wei, Tengda; Li, Xiaodi; Stojanovic, Vladimir
24
2021
Adaptive attack-resilient control for Markov jump system with additive attacks. Zbl 1517.93050
He, Hangfeng; Qi, Wenhai; Liu, Zhitao; Wang, Maoli
17
2021
Multiple rogue wave, breather wave and interaction solutions of a generalized \((3 + 1)\)-dimensional variable-coefficient nonlinear wave equation. Zbl 1517.35088
Liu, Jian-Guo; Zhu, Wen-Hui
12
2021
Combined Galerkin spectral/finite difference method over graded meshes for the generalized nonlinear fractional Schrödinger equation. Zbl 1517.35206
Hendy, Ahmed S.; Zaky, Mahmoud A.
12
2021
Distributed fixed-time optimization for multi-agent systems over a directed network. Zbl 1516.93019
Yu, Zhiyong; Yu, Shuzhen; Jiang, Haijun; Mei, Xuehui
9
2021
Dynamic event-based dissipative asynchronous control for T-S fuzzy singular Markov jump LPV systems against deception attacks. Zbl 1517.93055
Xing, Mingqi; Wang, Yanqian; Zhuang, Guangming; Zhang, Minsong
9
2021
Consensus tracking via quantized iterative learning control for singular nonlinear multi-agent systems with state time-delay and initial state error. Zbl 1517.93009
Zhou, Xingyu; Wang, Haoping; Tian, Yang; Dai, Xisheng
8
2021
Rogue waves of the fifth-order Ito equation on the general periodic travelling wave solutions background. Zbl 1516.35173
Zhang, Hai-Qiang; Chen, Fa; Pei, Zhi-Jie
8
2021
Rogue wave and multi-pole solutions for the focusing Kundu-Eckhaus equation with nonzero background via Riemann-Hilbert problem method. Zbl 1517.35205
Guo, Ning; Xu, Jian; Wen, Lili; Fan, Engui
8
2021
Observer-based adaptive fuzzy finite-time prescribed performance tracking control for strict-feedback systems with input dead-zone and saturation. Zbl 1517.93035
Zhou, Xin; Gao, Chuang; Li, Zhi-gang; Ouyang, Xin-yu; Wu, Li-bing
7
2021
Stable and oscillating solitons of \(\mathcal{PT}\)-symmetric couplers with gain and loss in fractional dimension. Zbl 1517.35216
Zeng, Liangwei; Shi, Jincheng; Lu, Xiaowei; Cai, Yi; Zhu, Qifan; Chen, Hongyi; Long, Hu; Li, Jingzhen
7
2021
A study of contact methods in the application of large deformation dynamics in self-contact beam. Zbl 1516.74076
Bozorgmehri, Babak; Yu, Xinxin; Matikainen, Marko K.; Harish, Ajay B.; Mikkola, Aki
6
2021
Dynamical behavior of a stochastic Nicholson’s blowflies model with distributed delay and degenerate diffusion. Zbl 1517.92013
Mu, Xiaojie; Jiang, Daqing; Hayat, Tasawar; Alsaedi, Ahmed; Ahmad, Bashir
6
2021
New solitons and conditional stability to the high dispersive nonlinear Schrödinger equation with parabolic law nonlinearity. Zbl 1516.35388
Xie, Yingying; Li, Lingfei; Kang, Yue
6
2021
Relaxation oscillation and canard explosion in a slow-fast predator-prey model with Beddington-DeAngelis functional response. Zbl 1516.92094
Saha, Tapan; Pal, Pallav Jyoti; Banerjee, Malay
6
2021
Bilinear Bäcklund transformation, Lax pair and interactions of nonlinear waves for a generalized \((2 + 1)\)-dimensional nonlinear wave equation in nonlinear optics/fluid mechanics/plasma physics. Zbl 1517.37074
Zhao, Xin; Tian, Bo; Tian, He-Yuan; Yang, Dan-Yu
6
2021
Development of composite sub-step explicit dissipative algorithms with truly self-starting property. Zbl 1517.65062
Li, Jinze; Yu, Kaiping
6
2021
Predefined-time control of distributed-order systems. Zbl 1517.93014
Muñoz-Vázquez, Aldo Jonathan; Fernández-Anaya, Guillermo; Sánchez-Torres, Juan Diego; Meléndez-Vázquez, Fidel
5
2021
Dynamics and control of the modified generalized Korteweg-de Vries-Burgers equation with periodic boundary conditions. Zbl 1516.93062
Smaoui, Nejib; Al Jamal, Rasha
5
2021
Dynamics of Leslie-Gower model with double Allee effect on prey and mutual interference among predators. Zbl 1516.92097
Tiwari, Barkha; Raw, S. N.
5
2021
An extended continuum mixed traffic model. Zbl 1517.76014
Zhang, Yicai; Zhao, Min; Sun, Dihua; Dong, Chen
5
2021
Optimal control of an SIQRS epidemic model with three measures on networks. Zbl 1517.92008
Zhang, Lei; Liu, Maoxing; Xie, Boli
5
2021
A systematic study of autonomous and nonautonomous predator-prey models with combined effects of fear, migration and switching. Zbl 1517.92017
Tiwari, Pankaj Kumar; Al Amri, Kawkab Abdullah Nabhan; Samanta, Sudip; Khan, Qamar Jalil Ahmad; Chattopadhyay, Joydev
4
2021
The existence and uniqueness of the solutions of the nonlinear on-off switched systems with switching at variable times. Zbl 1517.34015
Li, Huanting; Peng, Yunfei; Wu, Kuilin
4
2021
Output feedback regulation of large-scale feedforward systems with discrete and distributed delays. Zbl 1517.93031
Liu, Qingrong; Li, Hanfeng; Zhu, Fei; Zhang, Xianfu
4
2021
Neural network-based event-triggered fault detection for nonlinear Markov jump system with frequency specifications. Zbl 1520.93315
Liu, Qi-Dong; Long, Yue; Park, Ju H.; Li, Tieshan
4
2021
Time-fractional diffusion equation-based image denoising model. Zbl 1517.94020
Liao, Xingran; Feng, Minfu
4
2021
Image encryption algorithm with circle index table scrambling and partition diffusion. Zbl 1517.94023
Zhou, Yang; Li, Chunlai; Li, Wen; Li, Hongmin; Feng, Wei; Qian, Kun
4
2021
Arched beams of Bresse type: observability and application in thermoelasticity. Zbl 1517.74024
Moraes, Gabriel E. Bittencourt; Jorge da Silva, Marcio A.
4
2021
Efficient computational approaches for analysis of thin and flexible multibody structures. Zbl 1517.70008
Bulín, Radek; Hajžman, Michal
4
2021
Simulating the joint impact of temporal and spatial memory indices via a novel analytical scheme. Zbl 1518.65118
Jaradat, Imad; Alquran, Marwan; Sivasundaram, Seenith; Baleanu, Dumitru
4
2021
Global dynamics and control strategies of an epidemic model having logistic growth, non-monotone incidence with the impact of limited hospital beds. Zbl 07852991
Saha, Pritam; Ghosh, Uttam
4
2021
Cycles in asymptotically stable and chaotic fractional maps. Zbl 07857253
Edelman, Mark
4
2021
Nonlinear dynamics of inertial particles in the ocean: from drifters and floats to marine debris and Sargassum. Zbl 1516.86003
Beron-Vera, Francisco J.
3
2021
The influence of the first integrals and the rolling resistance model on tippe top inversion. Zbl 1516.74074
Kilin, Alexander A.; Pivovarova, Elena N.
3
2021
Finite-time event-triggered sliding mode control for one-sided Lipschitz nonlinear systems with uncertainties. Zbl 1516.93027
Ren, Junchao; Sun, Jie; Fu, Jun
3
2021
Computational modeling of human papillomavirus with impulsive vaccination. Zbl 1516.92102
Berhe, Hailay Weldegiorgis; Al-arydah, Mo’tassem
3
2021
Event-triggered design for discrete-time nonlinear systems with control constraints. Zbl 1517.93040
Mu, Chaoxu; Liao, Kaiju; Wang, Ke
3
2021
A novel perturbation method to reduce the dynamical degradation of digital chaotic maps. Zbl 1516.37040
Liu, Lingfeng; Xiang, Hongyue; Li, Xiangjun
3
2021
Stochastic filtering in fractional-order circuits. Zbl 1516.93263
Bansal, Rahul
3
2021
Multi-soliton solutions for a higher-order coupled nonlinear Schrödinger system in an optical fiber via Riemann-Hilbert approach. Zbl 1517.35204
Guo, Han-Dong; Xia, Tie-Cheng
3
2021
Stationary distribution and density function expression for a stochastic SIQRS epidemic model with temporary immunity. Zbl 07852989
Zhou, Baoquan; Jiang, Daqing; Dai, Yucong; Hayat, Tasawar
3
2021
New theories and applications of tempered fractional differential equations. Zbl 07856983
Obeidat, Nazek A.; Bentil, Daniel E.
3
2021
Optimized flapping wing dynamics via DMOC approach. Zbl 1516.70050
Terze, Zdravko; Pandža, Viktor; Kasalo, Marko; Zlatar, Dario
2
2021
Successive estimations of bilateral bounds and trapping/stability regions of solution to some nonlinear nonautonomous systems. Zbl 1516.70030
Pinsky, Mark A.
2
2021
Adaptive control for discontinuous variable-order fractional systems with disturbances. Zbl 1517.93052
Peng, Xiao; Wang, Yijing; Zuo, Zhiqiang
2
2021
Multi-objective frequency domain-constrained static output feedback control for delayed active suspension systems with wheelbase preview information. Zbl 1517.93034
Zhao, Jing; Wang, Xiaowei; Wong, Pak Kin; Xie, Zhengchao; Jia, Junru; Li, Wenfeng
2
2021
Construction of abundant solutions for two kinds of \((3+1)\)-dimensional equations with time-dependent coefficients. Zbl 1517.37075
Han, Peng-Fei; Bao, Taogetusang
2
2021
Global existence and stability of Nicholson blowflies model with harvesting and random effect. Zbl 1517.92009
Abbas, Syed; Niezabitowski, Michal; Grace, Said R.
2
2021
Event-triggering \(H_\infty\)-based observer combined with NN for simultaneous estimation of vehicle sideslip and roll angles with network-induced delays. Zbl 1517.93025
Boada, Maria Jesus L.; Boada, Beatriz L.; Zhang, Hui
2
2021
Finite-time non-fragile boundary feedback control for a class of nonlinear parabolic systems. Zbl 1517.93033
Wei, Chengzhou; Li, Junmin
2
2021
Non-smooth dynamics emerging from predator-driven discontinuous prey dispersal. Zbl 1516.92076
Bhattacharyya, Joydeb; Chattopadhyay, Joydev
2
2021
Turing patterns induced by self-diffusion in a predator-prey model with schooling behavior in predator and prey. Zbl 07852890
Zhou, Yan; Yan, Xiang-Ping; Zhang, Cun-Hua
2
2021
Multi-soliton solutions of the \(N\)-component nonlinear Schrödinger equations via Riemann-Hilbert approach. Zbl 07856989
Li, Yan; Li, Jian; Wang, Ruiqi
2
2021
Rich dynamics in a stochastic predator-prey model with protection zone for the prey and multiplicative noise applied on both species. Zbl 07857140
Belabbas, Mustapha; Ouahab, Abdelghani; Souna, Fethi
2
2021
New stability criteria for stochastic perturbed singular systems in mean square. Zbl 07852949
Caraballo, Tomás; Ezzine, Faten; Hammami, Mohamed Ali
2
2021
Event-triggered fixed-time adaptive fuzzy control for state-constrained stochastic nonlinear systems without feasibility conditions. Zbl 07852959
Yao, Yangang; Tan, Jieqing; Wu, Jian; Zhang, Xu
2
2021
Nonlinear resonant response of the cable-stayed beam with one-to-one internal resonance in veering and crossover regions. Zbl 1516.74062
Wang, Lianhua; Peng, Jian; Zhang, Xiaoyu; Qiao, Wanzhi; He, Kai
1
2021
Dynamical distributed control and synchronization. Zbl 1517.93028
Flores-Flores, Juan Pablo; Martínez-Guerra, Rafael
1
2021
Symmetry-based optimal portfolio for a DC pension plan under a CEV model with power utility. Zbl 1517.91209
Yong, Xuelin; Sun, Xiaoqian; Gao, Jianwei
1
2021
Corrigendum to: “Fractional nonlinear dynamics of learning with memory”. Zbl 1517.34010
Tarasov, Vasily E.
1
2021
Higher-order saddle potentials, nonlinear curl forces, trapping and dynamics. Zbl 1517.70031
Garai, Sudip; Guha, Partha
1
2021
Robust resource allocation strategy for technology innovation ecosystems: state and control constraints. Zbl 1517.93071
Chen, Xiuqian; Sun, Qinqin; Xia, Fei; Chen, Ye-Hwa
1
2021
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Cited by 31,760 Authors

317 Cao, Jinde
269 Băleanu, Dumitru I.
202 Hayat, Tasawar
139 Al-saedi, Ahmed Eid Salem
133 Machado, José António Tenreiro
127 Park, Juhyun (Jessie)
122 Ding, Feng
120 Zhang, Wei
114 Sakthivel, Rathinasamy
112 Zhong, Shou-Ming
105 Tian, Bo
99 Llibre, Jaume
96 Xu, Wei
91 Chen, Guanrong
82 Ahmad, Bashir
81 Jiang, Haijun
77 Ma, Wen-Xiu
75 Zhu, Quanxin
72 Chen, Yangquan
71 Dehghan Takht Fooladi, Mehdi
69 Inc, Mustafa
68 Shi, Kaibo
67 Biswas, Anjan
67 Wang, Xingyuan
66 Jafari, Sajad
65 Liu, Fawang
64 Kwon, Ohmin
64 Wang, Zhen
63 Gómez-Aguilar, José Francisco
62 Chen, Liqun
60 Chen, Zengqiang
60 Rajagopal, Karthikeyan
59 Rakkiyappan, Rajan
57 Cheng, Jun
57 Pham, Viet-Thanh
56 Hu, Cheng
56 Huang, Lihong
56 Khalique, Chaudry Masood
56 Seadawy, Aly R.
56 Zhu, Weiqiu
55 Awrejcewicz, Jan
54 Huang, Tingwen
53 Abdeljawad, Thabet
52 Zhang, Tonghua
51 Alsaadi, Fuad Eid Salem
51 Ouannas, Adel
51 Teng, Zhi-dong
50 Huang, Chengdai
49 Liao, Xiaofeng
49 Mahomed, Fazal M.
49 Yang, Qigui
48 Gao, Yitian
48 Li, Chuandong
48 Ntouyas, Sotiris K.
48 Tian, Shoufu
48 Wei, Zhouchao
47 Li, Chunbiao
47 Liu, Xinzhi
47 Shen, Hao
47 Torres, Delfim Fernando Marado
47 Wang, Jinrong
46 Ali, M. Syed
46 Balasubramaniam, Pagavathigounder
46 Chen, Fangqi
46 Elaiw, Ahmed M.
46 Jiang, Daqing
46 Li, Xiaodi
46 Liu, Shutang
46 Wu, Ranchao
45 Zhou, Wuneng
44 Kara, Abdul Hamid
44 Li, Wenxue
44 Zaky, Mahmoud A.
43 Tang, Sanyi
43 Zhang, Yi
42 Heydari, Mohammad Hossein
42 Mirzazadeh, Mohammad
42 Momani, Shaher M.
42 Wang, Huanqing
42 Xu, Changjin
42 Yusuf, Abdullahi A.
41 Abbasbandy, Saeid
41 Luo, Albert C. J.
41 Sprott, Julien Clinton
40 Atangana, Abdon
40 Li, Changpin
40 Li, Junmin
40 Ma, Junhai
40 Niu, Ben
40 Yu, Yongguang
40 Zheng, Xiangcheng
39 Rodríguez-Luis, Alejandro J.
38 Bi, Qinsheng
38 Feng, Jianwen
38 Kumar Upadhyay, Ranjit
38 Lü, Xing
38 Ma, Yuechao
38 Sajid, Muhammad
38 Wang, Hong
38 Xia, Yonghui
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Cited in 692 Journals

3,292 Nonlinear Dynamics
1,230 Communications in Nonlinear Science and Numerical Simulation
1,091 Chaos, Solitons and Fractals
1,058 Journal of the Franklin Institute
1,049 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1,031 Applied Mathematics and Computation
679 Advances in Difference Equations
606 Mathematical Methods in the Applied Sciences
589 Mathematical Problems in Engineering
588 International Journal of Robust and Nonlinear Control
571 Physica A
515 Applied Mathematical Modelling
421 Chaos
383 International Journal of Systems Science. Principles and Applications of Systems and Integration
358 Computers & Mathematics with Applications
354 Complexity
303 Mathematics and Computers in Simulation
272 International Journal of Control
265 Physics Letters. A
255 Acta Mechanica
248 Information Sciences
245 Abstract and Applied Analysis
244 Discrete Dynamics in Nature and Society
239 Applied Mathematics Letters
237 Multibody System Dynamics
236 Neural Networks
210 Computational and Applied Mathematics
199 International Journal of Adaptive Control and Signal Processing
196 Physica D
189 Meccanica
187 Chinese Journal of Physics (Taipei)
183 Fractional Calculus & Applied Analysis
181 Automatica
179 Journal of Computational and Applied Mathematics
177 Circuits, Systems, and Signal Processing
175 Journal of Vibration and Control
169 Nonlinear Analysis. Hybrid Systems
165 Journal of Mathematical Analysis and Applications
157 International Journal of Biomathematics
156 Computer Methods in Applied Mechanics and Engineering
149 International Journal of Nonlinear Sciences and Numerical Simulation
149 Asian Journal of Control
148 Fractals
146 Communications in Theoretical Physics
145 Qualitative Theory of Dynamical Systems
145 Nonlinear Analysis. Real World Applications
142 Journal of Applied Mathematics and Computing
140 European Journal of Mechanics. A. Solids
137 International Journal of Applied and Computational Mathematics
136 Advances in Mathematical Physics
133 International Journal of Computer Mathematics
128 International Journal of Structural Stability and Dynamics
123 Discrete and Continuous Dynamical Systems. Series B
117 Mathematical Biosciences and Engineering
109 Journal of Computational Physics
108 Applied Numerical Mathematics
102 Numerical Methods for Partial Differential Equations
101 Nonlinear Analysis. Modelling and Control
99 Optimal Control Applications & Methods
97 Discrete and Continuous Dynamical Systems. Series S
92 SIAM Journal on Applied Dynamical Systems
89 Journal of Applied Analysis and Computation
87 AMM. Applied Mathematics and Mechanics. (English Edition)
86 European Journal of Control
86 Journal of Applied Mathematics
85 AIMS Mathematics
80 International Journal of Modern Physics B
78 Numerical Algorithms
76 Journal of Mathematical Physics
74 Journal of Differential Equations
72 Waves in Random and Complex Media
72 Acta Mechanica Sinica
71 Journal of Nonlinear Mathematical Physics
68 ZAMP. Zeitschrift für angewandte Mathematik und Physik
67 Journal of Nonlinear Science
66 Fuzzy Sets and Systems
66 International Journal for Numerical Methods in Engineering
61 Wave Motion
61 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
61 Journal of Systems Science and Complexity
60 Journal of Fluid Mechanics
60 Boundary Value Problems
59 International Journal of Theoretical Physics
58 Archive of Applied Mechanics
58 Engineering Analysis with Boundary Elements
57 International Journal of Engineering Science
56 Systems & Control Letters
56 Differential Equations and Dynamical Systems
54 Journal of Function Spaces
53 Journal of Difference Equations and Applications
52 Computational Mechanics
52 Journal of Applied Nonlinear Dynamics
51 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
50 Journal of Optimization Theory and Applications
49 International Journal of Geometric Methods in Modern Physics
49 Journal of Physics A: Mathematical and Theoretical
48 Applicable Analysis
46 Soft Computing
45 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
44 Journal of Biological Dynamics
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8,937 Ordinary differential equations (34-XX)
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106 Integral transforms, operational calculus (44-XX)
102 Linear and multilinear algebra; matrix theory (15-XX)
98 Harmonic analysis on Euclidean spaces (42-XX)
96 Measure and integration (28-XX)
77 Differential geometry (53-XX)
69 Topological groups, Lie groups (22-XX)
56 Number theory (11-XX)
56 Functional analysis (46-XX)
37 Nonassociative rings and algebras (17-XX)
29 Functions of a complex variable (30-XX)
28 History and biography (01-XX)
25 Astronomy and astrophysics (85-XX)
22 Mathematical logic and foundations (03-XX)
20 General topology (54-XX)
17 General and overarching topics; collections (00-XX)
10 Group theory and generalizations (20-XX)
9 Abstract harmonic analysis (43-XX)
8 Potential theory (31-XX)
8 Sequences, series, summability (40-XX)
8 Mathematics education (97-XX)
7 Algebraic geometry (14-XX)
6 Manifolds and cell complexes (57-XX)
5 Commutative algebra (13-XX)
5 Several complex variables and analytic spaces (32-XX)
4 Field theory and polynomials (12-XX)
2 Geometry (51-XX)
2 Algebraic topology (55-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 Convex and discrete geometry (52-XX)

Citations by Year