# zbMATH — the first resource for mathematics

## 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: http://link.springer.com/journal/volumesAndIssues/11071
 Documents Indexed: 4,606 Publications (since 1997) References Indexed: 4,044 Publications with 136,905 References.
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#### Latest Issues

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#### Authors

 45 Nayfeh, Ali Hasan 44 Park, Juhyun (Jessie) 34 Cao, Jinde 30 Zhang, Wei 28 Machado, José António Tenreiro 24 Băleanu, Dumitru I. 24 Shabana, Ahmed A. 21 Biswas, Anjan 21 Chen, Zengqiang 21 Rand, Richard H. 21 Wang, Xingyuan 20 Vakakis, Alexander F. 19 Ding, Feng 19 Llibre, Jaume 19 van Horssen, Wilhem Teunis 18 Belhaq, Mohamed 18 Chen, Lansun 18 Liao, Xiaofeng 18 Mahomed, Fazal M. 18 Tian, Bo 17 Awrejcewicz, Jan 17 Chen, Liqun 17 Lamarque, Claude-Henri 17 Zhou, Qin 16 Kara, Abdul Hamid 15 Ahn, Choon Ki 15 Balthazar, José Manoel 15 Gao, Yitian 15 Mirzazadeh, Mohammad 15 Yabuno, Hiroshi 14 Aghababa, Mohammad Pourmahmood 14 Balasubramaniam, Pagavathigounder 14 Gendelman, Oleg V. 14 Luongo, Angelo 14 Mobayen, Saleh 13 Chen, Guanrong 13 Fang, Jian’an 13 Hayat, Tasawar 13 Wang, Zuolei 12 Hu, Haiyan 12 Liu, Wenjun J. 12 Maccari, Attilio 12 Rakkiyappan, Rajan 12 Rega, Giuseppe 12 Tong, Shaocheng 12 Wazwaz, Abdul-Majid Abdul-Rahman 12 Zhou, Wuneng 11 Bergman, Lawrence A. 11 Ibragimov, Nail Hairullovich 11 Liu, Zhi 11 Lü, Xing 11 Mahmoud, Gamal M. 11 Natsiavas, Sotirios 11 Oustaloup, Alain 11 Shang, Pengjian 11 Shi, Xuerong 11 Xu, Wei 11 Yang, Qigui 11 Yao, Minghui 11 Yoo, Sung Jin 10 Algaba, Antonio 10 Belić, Milivoj R. 10 Butcher, Eric A. 10 Chatterjee, Anindya 10 Chen, Yangquan 10 Danca, Marius-Florin 10 Huang, Lihong 10 Jiang, Weihua 10 Li, Chuandong 10 Liu, Shutang 10 Qi, Guoyuan 10 Rodríguez-Luis, Alejandro J. 10 Sinha, Subhash C. 10 Stépán, Gábor 10 Wang, Zhen 10 Xu, Yuhua 10 Younesian, Davood 10 Zhang, Yun 10 Zhong, Shou-Ming 10 Zotos, Euaggelos E. 9 Feeny, Brian F. 9 Feng, Jianwen 9 Hajj, Muhammad R. 9 Huang, Tingwen 9 Lenci, Stefano 9 Li, Yongming 9 Liu, Chongxin 9 Ma, Junhai 9 Nijmeijer, Henk 9 Pilipchuk, Valery N. 9 Triki, Houria 9 Wu, Huaining 9 Yang, Yixian 8 Bajaj, Anil K. 8 Bi, Qinsheng 8 Ding, Hu 8 Ekici, Mehmet 8 Escalona, José Luis 8 Freire Macías, Emilio 8 Ji, Jinchen ...and 6,925 more Authors
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#### Fields

 1,463 Systems theory; control (93-XX) 1,306 Ordinary differential equations (34-XX) 1,236 Mechanics of particles and systems (70-XX) 1,148 Dynamical systems and ergodic theory (37-XX) 665 Mechanics of deformable solids (74-XX) 499 Partial differential equations (35-XX) 482 Biology and other natural sciences (92-XX) 219 Information and communication theory, circuits (94-XX) 215 Fluid mechanics (76-XX) 170 Numerical analysis (65-XX) 126 Operations research, mathematical programming (90-XX) 119 Computer science (68-XX) 110 Real functions (26-XX) 109 Optics, electromagnetic theory (78-XX) 89 Probability theory and stochastic processes (60-XX) 75 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 54 Calculus of variations and optimal control; optimization (49-XX) 47 Difference and functional equations (39-XX) 39 Statistics (62-XX) 38 Statistical mechanics, structure of matter (82-XX) 36 Combinatorics (05-XX) 21 Global analysis, analysis on manifolds (58-XX) 21 Quantum theory (81-XX) 17 Geophysics (86-XX) 16 Measure and integration (28-XX) 15 Special functions (33-XX) 15 Operator theory (47-XX) 14 Classical thermodynamics, heat transfer (80-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Approximations and expansions (41-XX) 11 Integral equations (45-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Astronomy and astrophysics (85-XX) 8 History and biography (01-XX) 7 General and overarching topics; collections (00-XX) 6 Differential geometry (53-XX) 4 Nonassociative rings and algebras (17-XX) 3 Mathematical logic and foundations (03-XX) 3 Number theory (11-XX) 3 Integral transforms, operational calculus (44-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Functional analysis (46-XX) 2 Relativity and gravitational theory (83-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)

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3,743 Publications have been cited 31,992 times in 16,879 Documents Cited by Year
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2002
Stability analysis of linear fractional differential system with multiple time delays. Zbl 1185.34115
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2007
Variable order and distributed order fractional operators. Zbl 1018.93007
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2002
A general formulation and solution scheme for fractional optimal control problems. Zbl 1121.70019
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2004
Solution for a fractional diffusion-wave equation defined in a bounded domain. Zbl 1009.65085
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2002
Time fractional diffusion: A discrete random walk approach. Zbl 1009.82016
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2002
Discrete fractional logistic map and its chaos. Zbl 1281.34121
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2000
Anlogue realizations of fractional-order controllers. Zbl 1041.93022
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Spectral properties of dynamical systems, model reduction and decompositions. Zbl 1098.37023
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Soliton solutions for the fifth-order KdV equation with the homotopy analysis method. Zbl 1170.76317
2008
Fractional conservation laws in optimal control theory. Zbl 1170.49017
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2008
Comparison between the HAM and HPM solutions of thin film flows of non-Newtonian fluids on a moving belt. Zbl 1181.76031
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Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation. Zbl 1345.65060
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Noether-type symmetries and conservation laws via partial Lagrangians. Zbl 1121.70014
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2006
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2016
The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview. Zbl 1103.70011
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Homotopy solutions for a generalized second-grade fluid past a porous plate. Zbl 1094.76005
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Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation. Zbl 1355.35159
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Dynamics and control of initialized fractional-order systems. Zbl 1021.93019
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Stability analysis of Caputo fractional-order nonlinear systems revisited. Zbl 1243.93081
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Adaptive synchronization of fractional-order memristor-based neural networks with time delay. Zbl 1348.93159
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2015
Analytical stability bound for a class of delayed fractional-order dynamic systems. Zbl 1020.34064
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2002
Exponential input-to-state stability of stochastic Cohen-Grossberg neural networks with mixed delays. Zbl 1345.92019
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2015
Numerical solution of the Klein-Gordon equation via He’s variational iteration method. Zbl 1179.81064
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2008
Adaptive feedback control and synchronization of non-identical chaotic fractional order systems. Zbl 1194.93105
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2010
Finite-time chaos control and synchronization of fractional-order nonautonomous chaotic (hyperchaotic) systems using fractional nonsingular terminal sliding mode technique. Zbl 1253.93016
2012
Complete synchronization of chaotic complex nonlinear systems with uncertain parameters. Zbl 1215.93114
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2010
Multiple scales without center manifold reductions for delay differential equations near Hopf bifurcations. Zbl 1038.34075
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2002
A study of the nonlinear response of a resonant microbeam to an electric actuation. Zbl 1047.74027
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2003
A review of operational matrices and spectral techniques for fractional calculus. Zbl 1348.65106
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2015
Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation. Zbl 1349.35007
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2016
Fractional control of heat diffusion systems. Zbl 1210.80008
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2008
Lie symmetry analysis of differential equations in finance. Zbl 0929.35006
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1998
Adaptive synchronization of uncertain dynamical networks with delayed coupling. Zbl 1182.92007
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2008
Finite-time synchronization control for uncertain Markov jump neural networks with input constraints. Zbl 1331.92019
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2014
Continued fraction expansion approaches to discretizing fractional order derivatives-an expository review. Zbl 1134.93300
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2004
On exact solutions of a class of fractional Euler-Lagrange equations. Zbl 1170.70328
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2008
Global Mittag-Leffler stability and synchronization of impulsive fractional-order neural networks with time-varying delays. Zbl 1331.93102
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2014
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
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2010
$$p$$th moment exponential synchronization for stochastic delayed Cohen-Grossberg neural networks with Markovian switching. Zbl 1242.93126
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2012
Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations. Zbl 1005.70019
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2001
Finite-time synchronization of complex networks with nonidentical discontinuous nodes. Zbl 1281.34100
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2013
Order reduction of retarded nonlinear systems - the method of multiple scales versus center-manifold reduction. Zbl 1170.70355
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2008
Finite-time stability analysis of fractional-order complex-valued memristor-based neural networks with time delays. Zbl 1331.34154
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2014
Gradient-based identification methods for Hammerstein nonlinear ARMAX models. Zbl 1134.93321
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2006
Fractional boundary value problems with singularities in space variables. Zbl 1268.34023
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2013
Bifurcation analysis in a time-delay model for prey-predator growth with stage-structure. Zbl 1176.92056
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2007
Conservation laws for time-fractional subdiffusion and diffusion-wave equations. Zbl 1345.35131
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2015
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2013
Several gradient-based iterative estimation algorithms for a class of nonlinear systems using the filtering technique. Zbl 1314.93013
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2014
Control of a class of fractional-order chaotic systems via sliding mode. Zbl 1242.93027
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2012
Analysis of thin beams and cables using the absolute nodal co-ordinate formulation. Zbl 1138.74391
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2006
Fractional-order delayed predator-prey systems with Holling type-II functional response. Zbl 1345.92123
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2015
Abstract Cauchy problem for fractional differential equations. Zbl 1268.34034
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2013
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Numerical algorithm for the variable-order Caputo fractional functional differential equation. Zbl 1349.65505
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2016
Ši’lnikov chaos in the generalized Lorenz canonical form of dynamical systems. Zbl 1142.70012
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2005
Global properties of a class of virus infection models with multitarget cells. Zbl 1254.92064
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2012
Cellular buckling in long structures. Zbl 0974.74024
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2000
Secure communication based on chaotic synchronization via interval time-varying delay feedback control. Zbl 1215.93127
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2011
A numerical method for KdV equation using collocation and radial basis functions. Zbl 1185.76832
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2007
Formulating dynamic multi-rigid-body contact problems with friction as solvable linear complementarity problems. Zbl 0899.70005
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1997
Fractional integration and differentiation of variable order: an overview. Zbl 1268.34025
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2013
A general mechanism to generate three limit cycles in planar Filippov systems with two zones. Zbl 1314.37031
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2014
Using fractional order adjustment rules and fractional order reference models in model-reference adaptive control. Zbl 1031.93110
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2002
Synchronization of neutral complex dynamical networks with coupling time-varying delays. Zbl 1280.93005
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2011
Finite time integral sliding mode control of hypersonic vehicles. Zbl 1281.70016
Sun, Haibin; Li, Shihua; Sun, Changyin
2013
Global exponential estimates for uncertain Markovian jump neural networks with reaction-diffusion terms. Zbl 1411.60114
Shen, Hao; Huang, Xia; Zhou, Jianping; Wang, Zhen
2012
Robust dissipativity analysis of neural networks with time-varying delay and randomly occurring uncertainties. Zbl 1253.93040
Wu, Zheng-Guang; Park, Ju H.; Su, Hongye; Chu, Jian
2012
Generalized projective synchronization of the fractional-order Chen hyperchaotic system. Zbl 1176.70029
Wu, Xiangjun; Lu, Yang
2009
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
2014
Sampled-data-based lag synchronization of chaotic delayed neural networks with impulsive control. Zbl 1380.34082
Zhang, Xiaoyu; Lv, Xiaoxiao; Li, Xiaodi
2017
Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations. Zbl 1349.37031
Kuznetsov, N. V.; Alexeeva, T. A.; Leonov, G. A.
2016
Synchronization for chaotic Lur’e systems with sector-restricted nonlinearities via delayed feedback control. Zbl 1183.70073
Lee, S. M.; Choi, S. J.; Ji, D. H.; Park, Ju H.; Won, S. C.
2010
Dynamic pull-in phenomenon in MEMS resonators. Zbl 1177.74191
Nayfeh, Ali H.; Younis, Mohammad I.; Abdel-Rahman, Eihab M.
2007
Lie-Bäcklund and Noether symmetries with applications. Zbl 0912.35011
Ibragimov, N. H.; Kara, A. H.; Mahomed, F. M.
1998
Modified projective synchronization of fractional-order chaotic systems via active sliding mode control. Zbl 1253.93023
Wang, Xingyuan; Zhang, Xiaopeng; Ma, Chao
2012
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
2009
LMI-based stabilization of a class of fractional-order chaotic systems. Zbl 1268.93121
2013
State estimation for Markovian jumping recurrent neural networks with interval time-varying delays. Zbl 1194.62109
Balasubramaniam, P.; Lakshmanan, S.; Jeeva Sathya Theesar, S.
2010
Chaos and Hopf bifurcation of a finance system. Zbl 1183.91193
Gao, Qin; Ma, Junhai
2009
Transition of energy to a nonlinear localized mode in a highly asymmetric system of two oscillators. Zbl 0999.70019
Gendelman, Oleg V.
2001
Description of elastic forces in absolute nodal coordinate formulation. Zbl 1041.74547
Sopanen, Jussi T.; Mikkola, Aki M.
2003
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
2013
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
2015
The dynamics of two coupled van der Pol oscillators with delay coupling. Zbl 1021.70010
Wirkus, Stephen; Rand, Richard
2002
The description of localized normal modes in a chain of nonlinear coupled oscillators using complex variables. Zbl 1005.70023
Manevitch, L. I.
2001
Analysis on double Hopf bifurcation using computer algebra with the aid of multiple scales. Zbl 0994.65140
Yu, Pei
2002
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.
2018
Tuning of PID controllers based on Bode’s ideal transfer function. Zbl 1134.93334
Barbosa, Ramiro S.; Machado, J. A. Tenreiro; Ferreira, Isabel M.
2004
Phase and antiphase synchronization of two identical hyperchaotic complex nonlinear systems. Zbl 1204.93096
Mahmoud, Gamal M.; Mahmoud, Emad E.
2010
Adaptive robust fuzzy control for a class of uncertain chaotic systems. Zbl 1176.93040
Liu, Yanjun; Zheng, Yaqin
2009
Synchronization of reaction-diffusion neural networks with time-varying delays via stochastic sampled-data controller. Zbl 1331.92018
Rakkiyappan, R.; Dharani, S.; Zhu, Quanxin
2015
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
2015
Maximum number of limit cycles for certain piecewise linear dynamical systems. Zbl 1348.34065
Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A.
2015
Dynamical properties and chaos synchronization of a new chaotic complex nonlinear system. Zbl 1170.70365
Mahmoud, Gamal M.; Aly, Shaban A.; Al-Kashif, M. A.
2008
Adaptive synchronization of fractional-order chaotic systems via a single driving variable. Zbl 1242.93030
Zhang, Ruoxun; Yang, Shiping
2011
On fractional adaptive control. Zbl 1134.93356
2006
On the hyperchaotic complex Lü system. Zbl 1183.70053
Mahmoud, Gamal M.; Mahmoud, Emad E.; Ahmed, Mansour E.
2009
A hidden mode observation approach to finite-time SOFC of Markovian switching systems with quantization. Zbl 1434.93019
Cheng, Jun; Park, Ju H.; Cao, Jinde; Qi, Wenhai
2020
Barrier Lyapunov functions-based fixed-time stabilization of nonholonomic systems with unmatched uncertainties and time-varying output constraints. Zbl 1434.70037
Yao, Hejun; Gao, Fangzheng; Huang, Jiacai; Wu, Yuqiang
2020
Spatiotemporal dynamics of a vegetation model with nonlocal delay in semi-arid environment. Zbl 1434.37054
Xue, Qiang; Sun, Gui-Quan; Liu, Chen; Guo, Zun-Guang; Jin, Zhen; Wu, Yong-Ping; Feng, Guo-Lin
2020
Fractional nonlinear dynamics of learning with memory. Zbl 1459.34046
Tarasov, Vasily E.
2020
Stochastic bifurcations in a nonlinear tri-stable energy harvester under colored noise. Zbl 1459.34134
Zhang, Yanxia; Jin, Yanfei; Xu, Pengfei; Xiao, Shaomin
2020
A constrained error-based MPC for path following of quadrotor with stability analysis. Zbl 1459.93069
Eskandarpour, Abolfazl; Sharf, Inna
2020
Solitons and periodic waves for the $$(2+1)$$-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics. Zbl 1459.35076
Deng, Gao-Fu; Gao, Yi-Tian; Su, Jing-Jing; Ding, Cui-Cui; Jia, Ting-Ting
2020
Existence of invariant curves for a Fermi-type impact absorber. Zbl 1434.70045
Cao, Zhenbang; Zhang, Xiaoming; Li, Denghui; Yin, Shan; Xie, Jianhua
2020
Solution and asymptotic analysis of a boundary value problem in the spring-mass model of running. Zbl 1434.34052
Płociniczak, Łukasz; Wróblewska, Zofia
2020
Quantized feedback adaptive command filtered backstepping control for a class of uncertain nonlinear strict-feedback systems. Zbl 1434.93020
Choi, Yun Ho; Yoo, Sung Jin
2020
Global dynamics of a Holling Type-III two prey-one predator discrete model with optimal harvest strategy. Zbl 1434.37048
Banerjee, Ritwick; Das, Pritha; Mukherjee, Debasis
2020
Stability and Hopf bifurcation for a delayed predator-prey model with stage structure for prey and Ivlev-type functional response. Zbl 1434.37049
Hu, Dongpo; Li, Yunyun; Liu, Ming; Bai, Yuzhen
2020
Solitons and rogue waves of the quartic nonlinear Schrödinger equation by Riemann-Hilbert approach. Zbl 1434.35182
Liu, Nan; Guo, Boling
2020
Parrondo’s paradox from classical to quantum: a review. Zbl 1434.81013
Lai, Joel Weijia; Cheong, Kang Hao
2020
Hidden dynamics in a fractional-order memristive Hindmarsh-Rose model. Zbl 1434.34018
Yu, Yajuan; Shi, Min; Kang, Huiyan; Chen, Mo; Bao, Bocheng
2020
Memristor synapse-coupled memristive neuron network: synchronization transition and occurrence of chimera. Zbl 1434.92015
Bao, Han; Zhang, Yunzhen; Liu, Wenbo; Bao, Bocheng
2020
Limit cycles at oversteer vehicle. Zbl 1430.70082
Steindl, Alois; Edelmann, Johannes; Plöchl, Manfred
2020
Nonlinear breathing motions and instabilities of a pressure-loaded spherical hyperelastic membrane. Zbl 1430.74099
Soares, Renata M.; Amaral, Pedro F. T.; Silva, Frederico M. A.; Gonçalves, Paulo Batista
2020
Vortex-induced vibration of a linearly sprung cylinder with an internal rotational nonlinear energy sink in turbulent flow. Zbl 1430.76236
Blanchard, Antoine; Bergman, Lawrence A.; Vakakis, Alexander F.
2020
On a localization phenomenon in two types of bio-inspired hierarchically organized oscillatory systems. Zbl 1430.37110
Kovacic, Ivana; Zukovic, Miodrag; Radomirovic, Dragi
2020
Local modal participation analysis of nonlinear systems using Poincaré linearization. Zbl 1430.70088
2020
Hidden and self-excited coexisting attractors in a Lorenz-like system with two equilibrium points. Zbl 1439.34045
Cang, Shijian; Li, Yue; Zhang, Ruiye; Wang, Zenghui
2019
Phase-shift controlling of three solitons in dispersion-decreasing fibers. Zbl 1430.78006
Liu, Suzhi; Zhou, Qin; Biswas, Anjan; Liu, Wenjun
2019
Chaotic system with bondorbital attractors. Zbl 1430.37045
Zhang, Xin; Wang, Chunhua; Yao, Wei; Lin, Hairong
2019
Conditional symmetry: bond for attractor growing. Zbl 1439.94108
Li, Chunbiao; Xu, Yujie; Chen, Guanrong; Liu, Yongjian; Zheng, Jincun
2019
Chaos and hyperchaos via secondary Neimark-Sacker bifurcation in a model of radiophysical generator. Zbl 1430.37042
Stankevich, Nataliya; Kuznetsov, Alexander; Popova, Elena; Seleznev, Evgeniy
2019
Modelings and mechanism analysis underlying both the 4D Euler equations and Hamiltonian conservative chaotic systems. Zbl 1432.70020
Qi, Guoyuan
2019
The amplitude, frequency and parameter space boosting in a memristor-meminductor-based circuit. Zbl 1437.94112
Yuan, Fang; Deng, Yue; Li, Yuxia; Wang, Guangyi
2019
Evolutionary dynamics of cooperation in the public goods game with pool exclusion strategies. Zbl 1431.91033
Liu, Linjie; Chen, Xiaojie; Perc, Matjaž
2019
Breather and hybrid solutions for a generalized $$(3+1)$$-dimensional B-type Kadomtsev-Petviashvili equation for the water waves. Zbl 1430.37071
Ding, Cui-Cui; Gao, Yi-Tian; Deng, Gao-Fu
2019
Weighted $$\mathcal{H}_\infty$$ consensus design for stochastic multi-agent systems subject to external disturbances and ADT switching topologies. Zbl 1437.93126
Zhou, Jianping; Wang, Yang; Zheng, Xiao; Wang, Zhen; Shen, Hao
2019
Bursting oscillations and coexisting attractors in a simple memristor-capacitor-based chaotic circuit. Zbl 1430.94112
Wang, Ning; Zhang, Guoshan; Bao, Han
2019
Three-dimensional optical solitons formed by the balance between different-order nonlinearities and high-order dispersion/diffraction in parity-time symmetric potentials. Zbl 1430.78005
Dai, Chao-Qing; Fan, Yan; Wang, Yue-Yue
2019
Evolution of initial discontinuity for the defocusing complex modified KdV equation. Zbl 1430.37085
Kong, Liang-Qian; Wang, Lei; Wang, Deng-Shan; Dai, Chao-Qing; Wen, Xiao-Yong; Xu, Ling
2019
Numerical investigation of the nonlinear modified anomalous diffusion process. Zbl 1430.60091
2019
Combined open-loop and funnel control for underactuated multibody systems. Zbl 1432.93102
Berger, Thomas; Otto, Svenja; Reis, Timo; Seifried, Robert
2019
Characteristics and interactions of solitary and lump waves of a $$(2+1)$$-dimensional coupled nonlinear partial differential equation. Zbl 1437.37095
Ren, Bo; Ma, Wen-Xiu; Yu, Jun
2019
ELECTRE II method to deal with probabilistic linguistic term sets and its application to edge computing. Zbl 1437.91154
Lin, Mingwei; Chen, Zheyu; Liao, Huchang; Xu, Zeshui
2019
A critical analysis of the conformable derivative. Zbl 1437.26006
Abdelhakim, Ahmed A.; Machado, José A. Tenreiro
2019
A nonlinear time transformation method to compute all the coefficients for the homoclinic bifurcation in the quadratic Takens-Bogdanov normal form. Zbl 1430.37054
Algaba, Antonio; Chung, Kwok-Wai; Qin, Bo-Wei; Rodríguez-Luis, Alejandro J.
2019
Quintic time-dependent-coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics: bilinear forms and dark/anti-dark/gray solitons. Zbl 1430.74073
Jia, Ting-Ting; Gao, Yi-Tian; Deng, Gao-Fu; Hu, Lei
2019
New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions. Zbl 1430.37078
Wazwaz, Abdul-Majid; Kaur, Lakhveer
2019
An effective numerical method for solving nonlinear variable-order fractional functional boundary value problems through optimization technique. Zbl 1430.34005
2019
Global synchronization in fixed time for semi-Markovian switching complex dynamical networks with hybrid couplings and time-varying delays. Zbl 1432.93155
Wang, Zhibo; Wu, Huaiqin
2019
Stripe solitons and lump solutions for a generalized Kadomtsev-Petviashvili equation with variable coefficients in fluid mechanics. Zbl 1437.35583
Liu, Jian-Guo; Ye, Qing
2019
Multiplicative of dual-waves generated upon increasing the phase velocity parameter embedded in dual-mode Schrödinger with nonlinearity Kerr laws. Zbl 1437.35614
2019
Synchronization realization between two nonlinear circuits via an induction coil coupling. Zbl 1437.94111
Yao, Zhao; Ma, Jun; Yao, Yuangen; Wang, Chunni
2019
A memristor-meminductor-based chaotic system with abundant dynamical behaviors. Zbl 1437.94110
Xu, Birong; Wang, Guangyi; Iu, Herbert Ho-Ching; Yu, Simin; Yuan, Fang
2019
One-soliton shaping and inelastic collision between double solitons in the fifth-order variable-coefficient Sawada-Kotera equation. Zbl 1437.35603
Osman, M. S.
2019
On the global dynamics of connected vehicle systems. Zbl 1437.70046
Kiss, Adam K.; Avedisov, Sergei S.; Bachrathy, Daniel; Orosz, Gábor
2019
Coexisting multi-stable patterns in memristor synapse-coupled Hopfield neural network with two neurons. Zbl 1437.92023
Chen, Chengjie; Chen, Jingqi; Bao, Han; Chen, Mo; Bao, Bocheng
2019
Patterns of interaction of coupled reaction-diffusion systems of the Fitzhugh-Nagumo type. Zbl 1430.35136
Zhang, Chunrui; Ke, Ai; Zheng, Baodong
2019
Non-fragile saturation control of nonlinear positive Markov jump systems with time-varying delays. Zbl 1430.60069
Zhang, Junfeng; Raïssi, Tarek; Li, Shicheng
2019
On the frequency response computation of geometrically nonlinear flat structures using reduced-order finite element models. Zbl 1430.74084
Givois, Arthur; Grolet, Aurélien; Thomas, Olivier; Deü, Jean-François
2019
Spatiotemporal dynamics near the Turing-Hopf bifurcation in a toxic-phytoplankton-zooplankton model with cross-diffusion. Zbl 1430.37119
Wang, Wen; Liu, Shutang; Liu, Zhibin
2019
Baseband modulation instability, rogue waves and state transitions in a deformed Fokas-Lenells equation. Zbl 1430.37077
Wang, Xin; Wei, Jiao; Wang, Lei; Zhang, Jianlin
2019
Dynamics of a vibro-impact system by the global analysis method in parameter-state space. Zbl 1430.34054
Li, Guofang; Sun, Jie; Ding, Wangcai
2019
Complexity of a dynamic hybrid supply chain game model with a service factor. Zbl 1431.90028
Tu, Hongliang; Mao, Xiaobing; Wang, Xinyu
2019
Capacitor coupling induces synchronization between neural circuits. Zbl 1430.94110
Liu, Zhilong; Wang, Chunni; Jin, Wuyin; Ma, Jun
2019
Dynamical behavior of a fractional three-species food chain model. Zbl 1432.37115
Alidousti, J.; Mostafavi Ghahfarokhi, M.
2019
Complex simplified Hirota’s forms and Lie symmetry analysis for multiple real and complex soliton solutions of the modified KdV-sine-Gordon equation. Zbl 1432.37093
Wazwaz, Abdul-Majid; Kaur, Lakhveer
2019
Generation and control of multiple solitons under the influence of parameters. Zbl 1439.78013
Liu, Xiaoyan; Triki, Houria; Zhou, Qin; Mirzazadeh, Mohammad; Liu, Wenjun; Biswas, Anjan; Belic, Milivoj
2019
Nonlinear dynamic responses of rotating pretwisted cylindrical shells. Zbl 1439.74182
Yao, Minghui; Niu, Yan; Hao, Yuxin
2019
Nonlocal symmetries, conservation laws and interaction solutions for the classical Boussinesq-Burgers equation. Zbl 1439.35123
Dong, Min-Jie; Tian, Shou-Fu; Yan, Xue-Wei; Zhang, Tian-Tian
2019
The generalized Kudryashov method for nonlinear space-time fractional partial differential equations of Burgers type. Zbl 1439.35529
Gaber, A. A.; Aljohani, A. F.; Ebaid, A.; Machado, J. Tenreiro
2019
Bifurcations and exact traveling wave solutions for the KdV-like equation. Zbl 1439.35435
Wang, Zhenli; Liu, Xiqiang
2019
Breather and lump solutions for nonlocal Davey-Stewartson II equation. Zbl 1437.37091
Zhang, Yan; Liu, Yinping
2019
Dynamical transitions of the quasi-periodic plasma model. Zbl 1437.82023
Kieu, Chanh; Wang, Quan; Yan, Dongming
2019
Dynamic analysis of fractional-order predator-prey biological economic system with Holling type II functional response. Zbl 1437.37119
El-Saka, H. A. A.; Lee, Seyeon; Jang, Bongsoo
2019
Resonant multi-soliton solutions to new $$(3+1)$$-dimensional Jimbo-Miwa equations by applying the linear superposition principle. Zbl 1437.37093
2019
Dynamics analysis and cryptographic application of fractional logistic map. Zbl 1437.94079
Yuan, Liguo; Zheng, Song; Alam, Zeeshan
2019
Periodic attenuating oscillation between soliton interactions for higher-order variable coefficient nonlinear Schrödinger equation. Zbl 1437.35146
Liu, Xiaoyan; Liu, Wenjun; Triki, Houria; Zhou, Qin; Biswas, Anjan
2019
A chaotic secure communication scheme based on synchronization of double-layered and multiple complex networks. Zbl 1437.94080
Zhou, Lili; Tan, Fei
2019
On the Teixeira singularity bifurcation in a DC-DC power electronic converter. Zbl 1437.94104
Cristiano, Rony; Ponce, Enrique; Pagano, Daniel J.; Granzotto, Mathieu
2019
Leader-following consensus of nonlinear fractional-order multi-agent systems over directed networks. Zbl 1437.93125
Ye, Yanyan; Su, Housheng
2019
The resonance behavior in two coupled harmonic oscillators with fluctuating mass. Zbl 1437.70032
Yu, Tao; Zhang, Lu; Zhong, Suchuan; Lai, Li
2019
A new way to introduce geometrically nonlinear stiffness and damping with an application to vibration suppression. Zbl 1437.70034
Liu, Yang; Mojahed, Alireza; Bergman, Lawrence A.; Vakakis, Alexander F.
2019
Hidden extreme multistability and dimensionality reduction analysis for an improved non-autonomous memristive Fitzhugh-Nagumo circuit. Zbl 1437.94103
Bao, Han; Liu, Wenbo; Chen, Mo
2019
Characteristics of integrability, bidirectional solitons and localized solutions for a ($$3+1$$)-dimensional generalized breaking soliton equation. Zbl 1437.37084
Xu, Gui-qiong; Wazwaz, Abdul-Majid
2019
Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev-Petviashvili equation. Zbl 1439.35418
2019
Adaptive finite-time reconfiguration control of unmanned aerial vehicles with a moving leader. Zbl 1439.93007
Wang, Dandan; Zong, Qun; Tian, Bailing; Lu, Hanchen; Wang, Jie
2019
Optimal harvesting strategy of a stochastic inshore-offshore hairtail fishery model driven by Lévy jumps in a polluted environment. Zbl 1439.92209
Zhao, Yu; You, Liang; Burkow, Daniel; Yuan, Sanling
2019
Distributed adaptive event-triggered control for attitude synchronization of multiple spacecraft. Zbl 1437.93060
Xu, Chuang; Wu, Baolin; Cao, Xibin; Zhang, Yingchun
2019
Observer-based fractional-order adaptive type-2 fuzzy backstepping control of uncertain nonlinear MIMO systems with unknown dead-zone. Zbl 1437.93068
2019
Bifurcation control for a fractional-order competition model of internet with delays. Zbl 1437.68016
Xu, Changjin; Liao, Maoxin; Li, Peiluan
2019
Phase shift, oscillation and collision of the anti-dark solitons for the $$(3+1)$$-dimensional coupled nonlinear Schrödinger equation in an optical fiber communication system. Zbl 1430.35217
Yu, Weitian; Liu, Wenjun; Triki, Houria; Zhou, Qin; Biswas, Anjan
2019
Chaotic resonance in Hodgkin-Huxley neuron. Zbl 1430.92015
Baysal, Veli; Saraç, Zehra; Yilmaz, Ergin
2019
Logistic equation with continuously distributed lag and application in economics. Zbl 1430.37128
Tarasov, Vasily E.; Tarasova, Valentina V.
2019
PID: a PDF-induced distance based on permutation cross-distribution entropy. Zbl 1430.62196
He, Jiayi; Shang, Pengjian; Zhang, Yali
2019
Hopf bifurcation analysis of a predator-prey model with Holling-II type functional response and a prey refuge. Zbl 1430.37121
Zhou, Yong; Sun, Wen; Song, Yinfang; Zheng, Zhigang; Lu, Jinhu; Chen, Shihua
2019
Nonholonomic rolling of a ball on the surface of a rotating cone. Zbl 1430.37068
Borisov, Alexey V.; Ivanova, Tatiana B.; Kilin, Alexander A.; Mamaev, Ivan S.
2019
Dynamic consensus of nonlinear time-delay multi-agent systems with input saturation: an impulsive control algorithm. Zbl 1430.93196
Liu, Xiaolu; Xiao, Jiang-Wen; Chen, Duxin; Wang, Yan-Wu
2019
Analytic prediction of isolated forced response curves from spectral submanifolds. Zbl 1430.70073
Ponsioen, S.; Pedergnana, T.; Haller, George
2019
Basic mechanisms of escape of a harmonically forced classical particle from a potential well. Zbl 1430.70004
Gendelman, O. V.; Karmi, G.
2019
A Taylor series-based continuation method for solutions of dynamical systems. Zbl 1430.37099
Guillot, Louis; Cochelin, Bruno; Vergez, Christophe
2019
Lie symmetry reductions and group invariant solutions of $$(2+1)$$-dimensional modified Veronese web equation. Zbl 1430.37086
Kumar, Sachin; Kumar, Amit
2019
Adaptive neural network finite time control for quadrotor UAV with unknown input saturation. Zbl 1430.70036
Xu, Qingzheng; Wang, Zhisheng; Zhen, Ziyang
2019
Broken and unbroken $$\mathcal{PT}$$-symmetric solutions of semi-discrete nonlocal nonlinear Schrödinger equation. Zbl 1430.37084
Hanif, Y.; Saleem, U.
2019
Novel characteristics of lump and lump-soliton interaction solutions to the generalized variable-coefficient Kadomtsev-Petviashvili equation. Zbl 1430.74075
Xu, Hui; Ma, Zhengyi; Fei, Jinxi; Zhu, Quanyong
2019
Interaction and energy transition between the breather and rogue wave for a generalized nonlinear Schrödinger system with two higher-order dispersion operators in optical fibers. Zbl 1430.35210
Ma, Yu-Lan
2019
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