# zbMATH — the first resource for mathematics

## Chaos, Solitons and Fractals

### Applications in Science and Engineering

 Short Title: Chaos Solitons Fractals Publisher: Elsevier (Pergamon), Oxford ISSN: 0960-0779 Online: http://www.sciencedirect.com/science/journal/09600779
 Documents Indexed: 7,421 Publications (since 1991) References Indexed: 7,335 Publications with 185,046 References.
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#### Latest Issues

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#### Authors

 175 El Naschie, Mohamed Saladin 63 Chen, Guanrong 51 Zhang, Hongqing 44 Zhang, Yufeng 43 Liao, Xiaofeng 40 Chen, Lansun 37 Han, Maoan 37 Xu, Wei 35 Park, Juhyun (Jessie) 34 Kapitaniak, Tomasz 34 Sidharth, Burra Gautam 32 Antoniou, Ioannis E. 32 Tian, Lixin 29 Yang, Xiaosong 27 Yan, Zhenya 26 Wang, Jiang 25 Chen, Dengyuan 25 Gardini, Laura 25 Grigolini, Paolo 24 Kofané, Timoléon Crépin 24 Roy Chowdhury, Asesh 23 Atangana, Abdon 23 Cao, Jinde 22 Elishakoff, Isaac 22 Ge, Zhengming 22 Xia, Tie-Cheng 21 Jing, Zhujun 21 Yan, Jun-Juh 20 Chen, Yong 19 Argyris, John Hadji 19 Cui, Baotong 19 Gómez-Aguilar, José Francisco 19 Holden, Arun V. 18 Porsezian, Kuppusamy 18 Puu, Tönu 18 Sun, Yeong-Jeu 18 Wadati, Miki 18 Wazwaz, Abdul-Majid Abdul-Rahman 18 Wiercigroch, Marian 17 Caldas, Iberê L. 17 El-Gohary, Awad I. 17 Luo, Albert C. J. 17 Saniga, Metod 17 Zhong, Shou-Ming 16 Dai, Meifeng 16 Rossler, Otto E. 16 Teng, Zhi-dong 16 Wang, Fengyan 15 Agiza, Hamdy N. 15 Andreadis, Ioannis 15 Băleanu, Dumitru I. 15 Duan, Wenshan 15 Lien, Chang-Hua 15 Llibre, Jaume 15 Lu, Junan 15 Owolabi, Kolade Matthew 15 Ramos, Juan I. 15 Tam, Honwah 15 Tanimoto, Jun 15 Wei, Junjie 15 Yu, Pei 15 Zak, Michail A. 15 Zhang, Shuwen 15 Zhang, Suochun 15 Zhou, Tianshou 14 Adamatzky, Andrew I. 14 Agop, Maricel 14 Chen, Qingjiang 14 Fan, Engui 14 Jumarie, Guy M. 14 Kumar Upadhyay, Ranjit 14 Liao, Tehlu 14 Lu, Junguo 14 Salarieh, Hassan 14 Singh, Vimal Pratap 14 West, Bruce J. 14 Xu, Jianxue 13 Deng, Bin 13 He, Ji-Huan 13 Iovane, Gerardo 13 Lonngren, Karl E. 13 Sun, Ji Tao 13 Szydłowski, Marek 13 Telesca, Luciano 13 Wang, Qi 13 Zhang, Wei 13 Zheng, Chunlong 12 Burić, Nikola I. 12 Chen, Liqun 12 Dai, Chaoqing 12 Dehghan Takht Fooladi, Mehdi 12 Dong, Huanhe 12 Elwakil, S. A. 12 Kurths, Jürgen 12 Lakshmanan, Muthusamy 12 Li, Changpin 12 Li, Chuandong 12 Liu, Zengrong 12 Nottale, Laurent 12 Sushko, Iryna ...and 8,532 more Authors
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#### Fields

 2,954 Dynamical systems and ergodic theory (37-XX) 1,609 Ordinary differential equations (34-XX) 1,214 Partial differential equations (35-XX) 1,090 Biology and other natural sciences (92-XX) 883 Systems theory; control (93-XX) 579 Quantum theory (81-XX) 535 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 378 Numerical analysis (65-XX) 344 Mechanics of particles and systems (70-XX) 327 Statistical mechanics, structure of matter (82-XX) 304 Information and communication theory, circuits (94-XX) 299 Fluid mechanics (76-XX) 298 Measure and integration (28-XX) 274 Probability theory and stochastic processes (60-XX) 262 Relativity and gravitational theory (83-XX) 187 Mechanics of deformable solids (74-XX) 181 Operations research, mathematical programming (90-XX) 176 General topology (54-XX) 176 Computer science (68-XX) 156 Difference and functional equations (39-XX) 126 Optics, electromagnetic theory (78-XX) 113 Statistics (62-XX) 106 Real functions (26-XX) 86 Number theory (11-XX) 80 Geophysics (86-XX) 70 Differential geometry (53-XX) 65 Combinatorics (05-XX) 60 Operator theory (47-XX) 51 Calculus of variations and optimal control; optimization (49-XX) 50 Global analysis, analysis on manifolds (58-XX) 48 General and overarching topics; collections (00-XX) 47 Harmonic analysis on Euclidean spaces (42-XX) 46 Manifolds and cell complexes (57-XX) 45 Integral equations (45-XX) 41 Nonassociative rings and algebras (17-XX) 40 Classical thermodynamics, heat transfer (80-XX) 36 Functional analysis (46-XX) 28 Mathematical logic and foundations (03-XX) 24 Special functions (33-XX) 24 Approximations and expansions (41-XX) 22 Astronomy and astrophysics (85-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 19 Algebraic geometry (14-XX) 18 Functions of a complex variable (30-XX) 15 Convex and discrete geometry (52-XX) 13 History and biography (01-XX) 13 Geometry (51-XX) 11 Sequences, series, summability (40-XX) 10 Group theory and generalizations (20-XX) 7 Several complex variables and analytic spaces (32-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 4 Potential theory (31-XX) 4 Integral transforms, operational calculus (44-XX) 3 Field theory and polynomials (12-XX) 3 Associative rings and algebras (16-XX) 2 General algebraic systems (08-XX) 2 Category theory; homological algebra (18-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Mathematics education (97-XX)

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Solution of fractional differential equations by using differential transform method. Zbl 1152.34306
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Homotopy-perturbation method for pure nonlinear differential equation. Zbl 1142.65418
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On the intuitionistic fuzzy topological spaces. Zbl 1083.54514
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Adaptive synchronization of uncertain chaotic systems via backstepping design. Zbl 1015.37052
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2001
A note on the fractional-order Chen system. Zbl 1101.37307
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2006
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Global robust stability of delayed recurrent neural networks. Zbl 1075.68070
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Sequential synchronization of two Lorenz systems using active control. Zbl 0985.37106
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2000
Exact special solutions with solitary patterns for the nonlinear dispersive $$K(m,n)$$ equations. Zbl 1027.35115
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Design of adaptive sliding mode controller for chaos synchronization with uncertainties. Zbl 1060.93536
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2004
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2006
New exact travelling wave solutions using modified extended tanh-function method. Zbl 1139.35388
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2004
Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics. Zbl 1030.35136
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2003
Study of a Leslie-Gower-type tritrophic population model. Zbl 1031.92027
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2002
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2007
Controlling and synchronizing chaotic Genesio system via nonlinear feedback control. Zbl 1044.93026
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2003
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2005
Bifurcation analysis for Chen’s system with delayed feedback and its application to control of chaos. Zbl 1112.37303
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2004
Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equation. Zbl 1092.37054
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2005
Chaotic dynamics and synchronization of fractional-order Arneodo’s systems. Zbl 1074.65146
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2005
On the generalized Lorenz canonical form. Zbl 1100.37016
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2005
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2004
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2004
Delay-dependent exponential stability of cellular neural networks with time-varying delays. Zbl 1094.34055
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2005
On the unification of heterotic strings, M theory and $${\mathcal E}^{(\infty)}$$ theory. Zbl 1008.81511
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Globally exponentially robust stability and periodicity of delayed neural networks. Zbl 1061.94552
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2005
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2005
The $$\tan h$$ method: solitons and periodic solutions for the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations. Zbl 1070.35076
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2005
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2007
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2009
Bifurcation and chaos in discrete - time predator - prey system. Zbl 1085.92045
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2006
Hidden extreme multistability in memristive hyperchaotic system. Zbl 1373.34069
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2017
A simple global synchronization criterion for coupled chaotic systems. Zbl 1065.70015
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2003
Exponential stability of continuous-time and discrete-time bidirectional associative memory networks with delays. Zbl 1062.68102
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2004
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An application of the decomposition method for the generalized KdV and RLW equations. Zbl 1030.35139
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2003
On the zeros of a fourth degree exponential polynomial with applications to a neural network model with delays. Zbl 1098.37070
Li, Xiuling; Wei, Junjie
2005
Controlling chaos and synchronization for new chaotic system using linear feedback control. Zbl 1093.93539
Yassen, M. T.
2005
Bifurcations of a predator-prey system of Holling and Leslie types. Zbl 1156.34029
Li, Yilong; Xiao, Dongmei
2007
The study of predator–prey system with defensive ability of prey and impulsive perturbations on the predator. Zbl 1081.34041
Zhang, Shuwen; Dong, Lingzhen; Chen, Lansun
2005
The solution of nonlinear coagulation problem with mass loss. Zbl 1101.82018
Abulwafa, E. M.; Abdou, M. A.; Mahmoud, A. A.
2006
A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation. Zbl 1030.37047
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2003
Synchronizing chaotic systems using backstepping design. Zbl 1035.34025
Tan, Xiaohui; Zhang, Jiye; Yang, Yiren
2003
Synchronization of Genesio chaotic system via backstepping approach. Zbl 1091.93028
Park, Ju H.
2006
Exp-function method and its application to nonlinear equations. Zbl 1153.35384
Wu, Xu-Hong (Benn); He, Ji-Huan
2008
On the Fibonacci $$k$$-numbers. Zbl 1158.11306
Falcón, Sergio; Plaza, Ángel
2007
The compound structure of a new chaotic attractor. Zbl 1067.37042
Lü, Jinhu; Chen, Guanrong; Zhang, Suochun
2002
Dynamic complexities of a Holling I predator-prey model concerning periodic biological and chemical control. Zbl 1058.92047
Liu, Bing; Zhang, Yujuan; Chen, Lansun
2004
Parameter identification and backstepping control of uncertain Lü system. Zbl 1068.93019
Wu, Xiao-Qun; Lu, Jun-An
2003
Robust stability analysis of generalized neural networks with discrete and distributed time delays. Zbl 1142.93401
Wang, Zidong; Shu, Huisheng; Liu, Yurong; Ho, Daniel W. C.; Liu, Xiaohui
2006
The impact of information spreading on epidemic vaccination game dynamics in a heterogeneous complex network – a theoretical approach. Zbl 1434.92033
Kabir, KM Ariful; Kuga, Kazuki; Tanimoto, Jun
2020
A fractional quadratic autocatalysis associated with chemical clock reactions involving linear inhibition. Zbl 1444.92145
Saad, Khaled M.; Srivastava, H. M.; Gómez-Aguilar, J. F.
2020
Hyers-Ulam stability and existence of solutions for fractional differential equations with Mittag-Leffler kernel. Zbl 1434.34014
Liu, Kui; Wang, JinRong; Zhou, Yong; O&rsquo;Regan, Donal
2020
Dynamics of fractional-order delay differential model for tumor-immune system. Zbl 1434.92017
Rihan, F. A.; Velmurugan, G.
2020
Global stability and optimal control analysis of a foot-and-mouth disease model with vaccine failure and environmental transmission. Zbl 1434.92032
Gashirai, Tinashe B.; Musekwa-Hove, Senelani D.; Lolika, Paride O.; Mushayabasa, Steady
2020
King algorithm: a novel optimization approach based on variable-order fractional calculus with application in chaotic financial systems. Zbl 1434.65084
2020
Oligopolies price game in fractional order system. Zbl 1434.91043
Li, Yaguang; Sun, Chunhua; Ling, Haifeng; Lu, An; Liu, Yezheng
2020
An optimization method based on the generalized Lucas polynomials for variable-order space-time fractional mobile-immobile advection-dispersion equation involving derivatives with non-singular kernels. Zbl 1434.35274
Heydari, M. H.; Atangana, A.
2020
Symmetry breaking of spatial Kerr solitons in fractional dimension. Zbl 1434.35008
Li, Pengfei; Malomed, Boris A.; Mihalache, Dumitru
2020
Editorial: Fractional differential and integral operators with non-singular and non-local kernel with application to nonlinear dynamical systems. Zbl 1434.00041
Atangana, Abdon; Gomez Aguilar, Jose Francisco; Owolabi Kolade, Matthew; Hristov, Jordan Yankov
2020
A comparative study on solving fractional cubic isothermal auto-catalytic chemical system via new efficient technique. Zbl 1444.92143
Bildik, Necdet; Deniz, Sinan; Saad, Khaled M.
2020
High- and low-level chaos in the time and frequency market returns of leading cryptocurrencies and emerging assets. Zbl 1434.91048
2020
Finite-time resilient fault-tolerant investment policy scheme for chaotic nonlinear finance system. Zbl 1434.93032
Harshavarthini, S.; Sakthivel, R.; Ma, Yong-Ki; Muslim, M.
2020
Piecewise asymptotic almost periodic solutions for impulsive fuzzy Cohen-Grossberg neural networks. Zbl 1434.34068
Abdelaziz, Meryem; Chérif, Farouk
2020
Implementing high-order chaos control scheme for cardiac conduction model with pathological rhythms. Zbl 1434.93031
Lounis, Fatima; Boukabou, Abdelkrim; Soukkou, Ammar
2020
Shifted-Chebyshev-polynomial-based numerical algorithm for fractional order polymer visco-elastic rotating beam. Zbl 1434.74060
Wang, Lei; Chen, Yi-Ming
2020
A box-covering Tsallis information dimension and non-extensive property of complex networks. Zbl 1434.94042
Ramirez-Arellano, Aldo; Hernández-Simón, Luis Manuel; Bory-Reyes, Juan
2020
A stochastic delay model of HIV pathogenesis with reactivation of latent reservoirs. Zbl 1434.92019
Qesmi, Redouane; Hammoumi, Aayah
2020
Finite-time synchronization of hyperchaotic systems based on feedback passivation. Zbl 1434.93084
Sangpet, Teerawat; Kuntanapreeda, Suwat
2020
Is the intermediate predator a key regulator of a tri-trophic food chain model?: an illustration through a new functional response. Zbl 1434.92025
Mortoja, Sk Golam; Panja, Prabir; Paul, Ayan; Bhattacharya, Sabyasachi; Mondal, Shyamal Kumar
2020
Mathematical analysis and numerical simulation for a smoking model with Atangana-Baleanu derivative. Zbl 1442.92074
Uçar, Sümeyra; Uçar, Esmehan; Özdemir, Necati; Hammouch, Zakia
2019
Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel. Zbl 1448.34046
Khan, Aziz; Khan, Hasib; Gómez-Aguilar, J. F.; Abdeljawad, Thabet
2019
Fractional logistic models in the frame of fractional operators generated by conformable derivatives. Zbl 1448.34006
2019
Effects of symmetric and asymmetric nonlinearity on the dynamics of a novel chaotic jerk circuit: coexisting multiple attractors, period doubling reversals, crisis, and offset boosting. Zbl 1448.34101
Kengne, Jacques; Mogue, Ruth Line Tagne; Fozin, Theophile Fonzin; Telem, Adelaide Nicole Kengnou
2019
Memristor initial boosting behaviors in a two-memristor-based hyperchaotic system. Zbl 1448.34103
Wu, H. G.; Ye, Y.; Bao, B. C.; Chen, M.; Xu, Q.
2019
Evolutionary vaccination game approach in metapopulation migration model with information spreading on different graphs. Zbl 1448.92303
Kabir, K. M. Ariful; Tanimoto, Jun
2019
System of fractional differential algebraic equations with applications. Zbl 1448.34026
Shiri, B.; Baleanu, D.
2019
New results on existence in the framework of Atangana-Baleanu derivative for fractional integro-differential equations. Zbl 1448.34024
Ravichandran, C.; Logeswari, K.; Jarad, Fahd
2019
A singular ABC-fractional differential equation with $$p$$-Laplacian operator. Zbl 1448.34047
2019
Behavioural study of symbiosis dynamics via the Caputo and Atangana-Baleanu fractional derivatives. Zbl 1448.35558
2019
Dynamical behaviors for vaccination can suppress infectious disease – a game theoretical approach. Zbl 1448.91033
Ariful Kabir, K. M.; Tanimoto, Jun
2019
Analysis of bifurcation, chaos and pattern formation in a discrete time and space Gierer Meinhardt system. Zbl 1442.35214
Wang, Jinliang; Li, You; Zhong, Shihong; Hou, Xiaojie
2019
Variational calculus involving nonlocal fractional derivative with Mittag-Leffler kernel. Zbl 1442.49026
Chatibi, Y.; El Kinani, E. H.; Ouhadan, A.
2019
A novel memristive 6D hyperchaotic autonomous system with hidden extreme multistability. Zbl 1448.34089
Mezatio, Brice Anicet; Motchongom, Marceline Tingue; Wafo Tekam, Blaise Raoul; Kengne, Romanic; Tchitnga, Robert; Fomethe, Anaclet
2019
Modeling the transmission of dengue infection through fractional derivatives. Zbl 1448.92300
Jan, Rashid; Khan, Muhammad Altaf; Kumam, Poom; Thounthong, Phatiphat
2019
Explicit impacts of harvesting in delayed predator-prey models. Zbl 1448.92171
Barman, Binandita; Ghosh, Bapan
2019
Uniform asymptotic stability of a logistic model with feedback control of fractional order and nonstandard finite difference schemes. Zbl 1448.93137
Tuan Hoang, Manh; Nagy, A. M.
2019
Predator-prey models with non-analytical functional response. Zbl 1448.92210
Kooij, Robert E.; Zegeling, André
2019
Equicontinuity of maps on dendrites. Zbl 1448.54023
Camargo, Javier; Rincón, Michael; Uzcátegui, Carlos
2019
Mathematical modeling for the impacts of deforestation on wildlife species using Caputo differential operator. Zbl 1448.92380
Qureshi, Sania; Yusuf, Abdullahi
2019
Validity of fractal derivative to capturing chaotic attractors. Zbl 1448.34010
2019
A fractional-order epidemic model with time-delay and nonlinear incidence rate. Zbl 1448.34148
Rihan, F. A.; Al-Mdallal, Q. M.; AlSakaji, H. J.; Hashish, A.
2019
Numerical approximations of Atangana-Baleanu Caputo derivative and its application. Zbl 1442.65183
Yadav, Swati; Pandey, Rajesh K.; Shukla, Anil K.
2019
Effect of information spreading to suppress the disease contagion on the epidemic vaccination game. Zbl 1448.92272
Ariful Kabir, K. M.; Kuga, Kazuki; Tanimoto, Jun
2019
Impact of prey herd shape on the predator-prey interaction. Zbl 1448.92188
Djilali, Salih
2019
Bifurcations and simulations of two predator-prey models with nonlinear harvesting. Zbl 1448.92228
Lv, Yunfei; Pei, Yongzhen; Wang, Yong
2019
A recurrence analysis of chaotic and non-chaotic solutions within a generalized nine-dimensional Lorenz model. Zbl 1448.34091
Reyes, Tiffany; Shen, Bo-Wen
2019
Can Bertrand and Cournot oligopolies be combined? Zbl 1448.91166
Puu, Tonu; Tramontana, Fabio
2019
Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense. Zbl 1448.65081
Abu Arqub, Omar; Maayah, Banan
2019
On chaotic models with hidden attractors in fractional calculus above power law. Zbl 1448.34014
Doungmo Goufo, Emile Franc
2019
A fractional mathematical model of breast cancer competition model. Zbl 1448.92105
Solís-Pérez, J. E.; Gómez-Aguilar, J. F.; Atangana, A.
2019
On the oscillation of Caputo fractional differential equations with Mittag-Leffler nonsingular kernel. Zbl 1448.34005
2019
Two-memristor-based chaotic system and its extreme multistability reconstitution via dimensionality reduction analysis. Zbl 1448.34107
Zhang, Yunzhen; Liu, Zhong; Wu, Huagan; Chen, Shengyao; Bao, Bocheng
2019
Meshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag-Leffler non-singular kernel. Zbl 1448.65103
Hosseininia, M.; Heydari, M. H.
2019
Nonlinear dynamics and chaos in micro/nanoelectromechanical beam resonators actuated by two-sided electrodes. Zbl 1448.74054
Gusso, André; Viana, Ricardo L.; Mathias, Amanda C.; Caldas, Iberê L.
2019
A new fractional analysis on the polluted lakes system. Zbl 1448.92369
Bildik, Necdet; Deniz, Sinan
2019
Modeling chickenpox disease with fractional derivatives: from Caputo to Atangana-Baleanu. Zbl 1448.92331
Qureshi, Sania; Yusuf, Abdullahi
2019
Optimal control problem for variable-order fractional differential systems with time delay involving Atangana-Baleanu derivatives. Zbl 1448.49005
Bahaa, G. M.
2019
A novel track control for Lorenz system with single state feedback. Zbl 1448.93128
Gao, Richie
2019
Nonlinear planetary-synoptic wave interaction under generalized beta effect and its solutions. Zbl 1448.86010
Zhang, Ruigang; Liu, Quansheng; Yang, Liangui; Song, Jian
2019
Modelling effects of a chemotherapeutic dose response on a stochastic tumour-immune model. Zbl 1448.92107
Yang, Jin; Tan, Yuanshun; Cheke, Robert A.
2019
Dynamical behaviour of fractional order tumor model with Caputo and conformable fractional derivative. Zbl 1448.92095
Balcı, Ercan; Öztürk, İlhan; Kartal, Senol
2019
Hopf-Hopf bifurcation and chaotic attractors in a delayed diffusive predator-prey model with fear effect. Zbl 1448.35029
Duan, Daifeng; Niu, Ben; Wei, Junjie
2019
Inverse Mittag-Leffler stability of structural derivative nonlinear dynamical systems. Zbl 1448.34113
Hu, D. L.; Chen, W.; Liang, Y. J.
2019
Stochastic sensitivity analysis of chaotic attractors in 2D non-invertible maps. Zbl 1448.39029
Bashkirtseva, I.; Ryashko, Lev
2019
Fractional difference operators with discrete generalized Mittag-Leffler kernels. Zbl 1448.39032
2019
A comparison study of bank data in fractional calculus. Zbl 1448.91176
Wang, Wanting; Khan, Muhammad Altaf; Fatmawati; Kumam, P.; Thounthong, P.
2019
Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC fractional Volterra integro-differential equations. (Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC – fractional Volterra integro-differential equations.) Zbl 1448.65273
Arqub, Omar Abu; Maayah, Banan
2019
The dynamics of viral infection in toxin producing phytoplankton and zooplankton system with time delay. Zbl 1442.92120
Agnihotri, Kulbhushan; Kaur, Harpreet
2019
Abrashkin, Anatoly
2019
Approximation techniques of optimal control problems for fractional dynamic systems in separable Hilbert spaces. Zbl 1442.49007
Peng, Li; Zhou, Yong; Debbouche, Amar
2019
Suppression and revival of oscillations through time-varying interaction. Zbl 1442.34064
Chaurasia, Sudhanshu Shekhar; Choudhary, Anshul; Shrimali, Manish Dev; Sinha, Sudeshna
2019
Stability and Hopf bifurcation analysis of a TCP/RAQM network with ISMC procedure. Zbl 1442.93014
2019
A comprehensive report on convective flow of fractional (ABC) and (CF) MHD viscous fluid subject to generalized boundary conditions. Zbl 1442.76144
Imran, M. A.; Aleem, Maryam; Riaz, M. B.; Ali, Rizwan; Khan, Ilyas
2019
Conservation laws, binary Darboux transformations and solitons for a higher-order nonlinear Schrödinger system. Zbl 1442.37084
Chen, Su-Su; Tian, Bo; Liu, Lei; Yuan, Yu-Qiang; Zhang, Chen-Rong
2019
A multi-scroll chaotic system for a higher coverage path planning of a mobile robot using flatness controller. Zbl 1442.93028
Nasr, Salah; Mekki, Hassen; Bouallegue, Kais
2019
Existence of solutions of a class of nonlinear nonlocal problems involving the potential. Zbl 1448.35528
Esfahani, Amin
2019
Chaotic behavior of predator-prey model with group defense and non-linear harvesting in prey. Zbl 1448.92213
Kumar, Sachin; Kharbanda, Harsha
2019
Noether’s theorem for fractional Herglotz variational principle in phase space. Zbl 1448.70051
Tian, Xue; Zhang, Yi
2019
Analysis of SIR epidemic model with information spreading of awareness. Zbl 1448.92302
Kabir, K. M. Ariful; Kuga, Kazuki; Tanimoto, Jun
2019
Fractal-fractional modelling of partially penetrating wells. Zbl 1448.35560
Razminia, Kambiz; Razminia, Abolhassan; Baleanu, Dumitru
2019
A true random bit generator based on a memristive chaotic circuit: analysis, design and FPGA implementation. Zbl 1448.65010
Karakaya, Barış; Gülten, Arif; Frasca, Mattia
2019
On fractional-order discrete-time systems: chaos, stabilization and synchronization. Zbl 1451.37052
Khennaoui, Amina-Aicha; Ouannas, Adel; Bendoukha, Samir; Grassi, Giuseppe; Lozi, René Pierre; Pham, Viet-Thanh
2019
What is the lowest order of the fractional-order chaotic systems to behave chaotically? Zbl 1448.34090
Peng, Dong; Sun, Kehui; He, Shaobo; Alamodi, Abdulaziz O. A.
2019
Realizing the transformation of logic gates in a genetic toggle system under Lévy noise. Zbl 1448.92151
Wu, Juan; Xu, Yong; Ma, Shaojuan
2019
D-summable fractal dimensions of complex networks. Zbl 1451.28006
Ramirez-Arellano, Aldo; Bermúdez-Gómez, Salvador; Hernández-Simón, Luis Manuel; Bory-Reyes, Juan
2019
A synergy of punishment and extortion in cooperation dilemmas driven by the leader. Zbl 1448.91043
Wang, JunFang; Guo, JinLi
2019
New types of fractal interpolation surfaces. Zbl 1448.37033
Ri, Songil
2019
Identifying influential nodes based on fuzzy local dimension in complex networks. Zbl 1448.05167
Wen, Tao; Jiang, Wen
2019
Study of a Leslie-Gower predator-prey model with prey defense and mutual interference of predators. Zbl 1448.92237
Mishra, P.; Raw, S. N.; Tiwari, B.
2019
A simple jerk-like system without equilibrium: asymmetric coexisting hidden attractors, bursting oscillation and double full Feigenbaum remerging trees. Zbl 1448.34093
Zhang, Sen; Zeng, Yicheng
2019
Global stability of a multipatch disease epidemics model. Zbl 1448.92332
Rebaza, Jorge
2019
Phase portraits of continuous piecewise linear Liénard differential systems with three zones. Zbl 1448.34070
Li, Shimin; Llibre, Jaume
2019
Stability and bifurcation analysis of an epidemic model with the effect of media. Zbl 1448.92304
Kar, T. K.; Nandi, Swapan Kumar; Jana, Soovoojeet; Mandal, Manotosh
2019
Optical solitons and conservation laws with polarization-mode dispersion for coupled Fokas-Lenells equation using group invariance. Zbl 1448.35080
Bansal, Anupma; Kara, Abdul H.; Biswas, Anjan; Khan, Salam; Zhou, Qin; Moshokoa, Seithuti P.
2019
Hopf bifurcation in a diffusive predator-prey model with competitive interference. Zbl 1448.92221
Liu, Fuxiang; Yang, Ruizhi; Tang, Leiyu
2019
Dynamics analysis on competition between manufacturing and remanufacturing in context of government subsidies. Zbl 1448.91167
Zhao, Liuwei; Chang, Jianwei; Du, Jianguo
2019
The topology of scale-free networks with an S-shaped nonlinear growth characteristic. Zbl 1448.05187
Dong, Xuefan; Liu, Yijung; Wu, Chao; Lian, Ying
2019
Stability and chaos in the fractional Chen system. Zbl 1448.34087
Čermák, Jan; Nechvátal, Luděk
2019
Modelling, analysis and simulations of some chaotic systems using derivative with Mittag-Leffler kernel. Zbl 1448.34023
Owolabi, Kolade M.; Gómez-Aguilar, J. F.; Karaagac, Berat
2019
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#### Cited by 26,690 Authors

 199 Cao, Jinde 199 Wazwaz, Abdul-Majid Abdul-Rahman 173 El Naschie, Mohamed Saladin 161 Băleanu, Dumitru I. 157 Chen, Guanrong 142 Dehghan Takht Fooladi, Mehdi 141 Chen, Lansun 122 Wang, Xingyuan 118 Han, Maoan 116 Hayat, Tasawar 110 Park, Juhyun (Jessie) 98 Liao, Xiaofeng 97 Teng, Zhi-dong 89 Zhong, Shou-Ming 85 Tian, Lixin 80 Ma, Wen-Xiu 79 Vaidyanathan, Sundarapandian 79 Yıldırım, Ahmet 77 Xu, Wei 76 Balasubramaniam, Pagavathigounder 71 Pham, Viet-Thanh 68 Ganji, Davood Domiri 67 Biswas, Anjan 67 Kudryashov, Nikolaĭ Alekseevich 66 Jafari, Sajad 66 Li, Jibin 63 Gardini, Laura 62 Yang, Xiaosong 60 Momani, Shaher M. 58 Huang, Lihong 58 Zhang, Wei 56 Khalique, Chaudry Masood 56 Yu, Pei 55 Mohyud-Din, Syed Tauseef 54 Li, Chuandong 54 Noorani, Mohd Salmi Mohd 54 Xu, Rui 54 Zhang, Hongqing 53 Abbasbandy, Saeid 53 Jiang, Haijun 53 Li, Yongkun 53 Llibre, Jaume 53 Tian, Bo 52 Kwon, O. M. 52 Liu, Xinzhi 52 Yang, Qigui 51 Hashim, Ishak 51 Li, Xiaodi 51 Nieto Roig, Juan Jose 51 Zhang, Yufeng 50 Agarwal, Ravi P. 50 Atangana, Abdon 49 Ahmad, Bashir 49 Kapitaniak, Tomasz 49 Ma, Junhai 49 Odibat, Zaid M. 49 Song, Xinyu 48 Bekir, Ahmet 48 Rakkiyappan, Rajan 48 Yan, Jun-Juh 47 Kumar Upadhyay, Ranjit 46 Dong, Huanhe 46 Zhang, Tonghua 45 Fang, Jian’an 45 Machado, José António Tenreiro 45 Xu, Changjin 44 Li, Changpin 43 Liu, Zhengrong 43 Meng, Xinzhu 42 Wang, Jiang 42 Wei, Junjie 42 Xia, Yonghui 41 Giné, Jaume 41 Huang, Tingwen 41 Luo, Albert C. J. 40 Al-saedi, Ahmed Eid Salem 40 Cui, Baotong 40 Sakthivel, Rathinasamy 40 Sprott, Julien Clinton 40 Zayed, Elsayed M. E. 39 Bi, Qinsheng 39 Dai, Zhengde 39 Gao, Yitian 39 Ge, Zhengming 39 Jumarie, Guy M. 39 Shi, Yuming 39 Sidharth, Burra Gautam 39 Zhang, Sheng 38 Adamatzky, Andrew I. 38 Chen, Zengqiang 38 Jiang, Daqing 38 Jiao, Jianjun 38 Xia, Tie-Cheng 38 Zhang, Qingling 37 Gómez-Aguilar, José Francisco 37 Sun, Ji Tao 37 Valls Anglés, Cláudia 37 Volos, Christos K. 37 Wang, Zhen 37 Wang, Zidong ...and 26,590 more Authors
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#### Cited in 832 Journals

 4,139 Chaos, Solitons and Fractals 1,864 Applied Mathematics and Computation 1,394 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1,257 Nonlinear Dynamics 980 Communications in Nonlinear Science and Numerical Simulation 662 Chaos 607 Computers & Mathematics with Applications 589 Advances in Difference Equations 559 Mathematical Problems in Engineering 534 Abstract and Applied Analysis 434 Discrete Dynamics in Nature and Society 403 Nonlinear Analysis. Real World Applications 357 Applied Mathematical Modelling 333 Journal of the Franklin Institute 301 Journal of Mathematical Analysis and Applications 299 Journal of Computational and Applied Mathematics 257 Complexity 243 Journal of Applied Mathematics 242 Journal of Mathematical Physics 235 Physica D 229 Physics Letters. A 226 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 207 International Journal of Modern Physics B 204 Mathematical Methods in the Applied Sciences 194 Applied Mathematics Letters 181 Mathematical and Computer Modelling 176 Mathematics and Computers in Simulation 165 International Journal of Computer Mathematics 148 Physica A 148 Journal of Applied Mathematics and Computing 146 International Journal of Biomathematics 128 International Journal of Theoretical Physics 127 Fuzzy Sets and Systems 127 Neural Networks 124 Computational and Applied Mathematics 124 International Journal of Applied and Computational Mathematics 111 Advances in Mathematical Physics 106 Information Sciences 104 Journal of Difference Equations and Applications 103 Modern Physics Letters B 101 Journal of Applied Analysis and Computation 100 Journal of Differential Equations 97 Discrete and Continuous Dynamical Systems. Series B 94 Journal of Theoretical Biology 93 Numerical Methods for Partial Differential Equations 89 Fractals 88 Journal of Vibration and Control 86 Fractional Calculus & Applied Analysis 82 Journal of Mathematical Chemistry 80 Nonlinear Analysis. Hybrid Systems 79 Qualitative Theory of Dynamical Systems 74 Mathematical Biosciences 73 Journal of Statistical Physics 73 Journal of the Egyptian Mathematical Society 72 Meccanica 71 Applied Numerical Mathematics 71 Differential Equations and Dynamical Systems 68 Fixed Point Theory and Applications 67 Applied Mathematics and Mechanics. (English Edition) 67 International Journal of Modern Physics C 66 International Journal of Nonlinear Sciences and Numerical Simulation 66 Discrete and Continuous Dynamical Systems. Series S 66 International Journal of Differential Equations 65 Journal of Inequalities and Applications 65 Mathematical Biosciences and Engineering 64 International Journal of Numerical Methods for Heat & Fluid Flow 62 Journal of Nonlinear Science and Applications 62 Asian Journal of Control 61 Acta Mechanica 61 International Journal of Control 61 Journal of Nonlinear Mathematical Physics 61 Mathematical Modelling of Natural Phenomena 60 Circuits, Systems, and Signal Processing 60 Nonlinear Analysis. Modelling and Control 59 Journal of Function Spaces 57 Applicable Analysis 55 Journal of Computational Physics 54 Acta Applicandae Mathematicae 54 Acta Mathematicae Applicatae Sinica. English Series 54 Boundary Value Problems 53 Discrete and Continuous Dynamical Systems 52 International Journal of Systems Science 50 Theoretical and Mathematical Physics 49 Reports on Mathematical Physics 49 Automatica 49 Soft Computing 47 Mediterranean Journal of Mathematics 46 Numerical Algorithms 46 Journal of Biological Systems 46 International Journal of Geometric Methods in Modern Physics 45 Archive of Applied Mechanics 44 Journal of Systems Science and Complexity 43 Computer Physics Communications 43 Journal of Fluid Mechanics 43 Communications in Theoretical Physics 42 Journal of Biological Dynamics 41 Engineering Analysis with Boundary Elements 41 Journal of Mathematics 41 International Journal of Systems Science. Principles and Applications of Systems and Integration 39 Journal of Geometry and Physics ...and 732 more Journals
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#### Cited in 62 Fields

 8,793 Ordinary differential equations (34-XX) 7,181 Dynamical systems and ergodic theory (37-XX) 5,792 Partial differential equations (35-XX) 5,092 Biology and other natural sciences (92-XX) 4,186 Systems theory; control (93-XX) 3,350 Numerical analysis (65-XX) 1,231 Fluid mechanics (76-XX) 1,225 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1,154 Real functions (26-XX) 1,109 Information and communication theory, circuits (94-XX) 1,103 Mechanics of particles and systems (70-XX) 973 Probability theory and stochastic processes (60-XX) 917 Quantum theory (81-XX) 794 Computer science (68-XX) 760 Mechanics of deformable solids (74-XX) 726 Difference and functional equations (39-XX) 705 Operator theory (47-XX) 690 Statistical mechanics, structure of matter (82-XX) 640 General topology (54-XX) 600 Measure and integration (28-XX) 568 Integral equations (45-XX) 535 Operations research, mathematical programming (90-XX) 372 Relativity and gravitational theory (83-XX) 351 Calculus of variations and optimal control; optimization (49-XX) 305 Statistics (62-XX) 290 Optics, electromagnetic theory (78-XX) 287 Number theory (11-XX) 252 Differential geometry (53-XX) 244 Combinatorics (05-XX) 242 Functional analysis (46-XX) 237 Special functions (33-XX) 232 Classical thermodynamics, heat transfer (80-XX) 186 Linear and multilinear algebra; matrix theory (15-XX) 162 Harmonic analysis on Euclidean spaces (42-XX) 155 Approximations and expansions (41-XX) 152 Global analysis, analysis on manifolds (58-XX) 140 Geophysics (86-XX) 110 Manifolds and cell complexes (57-XX) 96 Sequences, series, summability (40-XX) 95 Nonassociative rings and algebras (17-XX) 91 Integral transforms, operational calculus (44-XX) 83 Mathematical logic and foundations (03-XX) 76 Astronomy and astrophysics (85-XX) 64 Functions of a complex variable (30-XX) 56 General and overarching topics; collections (00-XX) 49 Algebraic geometry (14-XX) 47 Topological groups, Lie groups (22-XX) 34 Geometry (51-XX) 29 Group theory and generalizations (20-XX) 29 Abstract harmonic analysis (43-XX) 26 Convex and discrete geometry (52-XX) 21 Several complex variables and analytic spaces (32-XX) 20 History and biography (01-XX) 15 Associative rings and algebras (16-XX) 14 Field theory and polynomials (12-XX) 13 Mathematics education (97-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 12 General algebraic systems (08-XX) 12 Potential theory (31-XX) 9 Commutative algebra (13-XX) 9 Algebraic topology (55-XX) 6 Category theory; homological algebra (18-XX)