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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.
all top 5

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)

Publications by Year

Citations contained in zbMATH Open

5,973 Publications have been cited 60,487 times in 27,600 Documents Cited by Year
Exp-function method for nonlinear wave equations. Zbl 1141.35448
He, Ji-Huan; Wu, Xu-Hong
450
2006
Application of homotopy perturbation method to nonlinear wave equations. Zbl 1072.35502
He, Ji-Huan
368
2005
Fractional relaxation-oscillation and fractional diffusion-wave phenomena. Zbl 1080.26505
Mainardi, Francesco
259
1996
Construction of solitary solution and compacton-like solution by variational iteration method. Zbl 1147.35338
He, Ji-Huan; Wu, Xu-Hong
246
2006
A review of \(E\) infinity theory and the mass spectrum of high energy particle physics. Zbl 1071.81501
El Naschie, M. S.
232
2004
Complex dynamics of Holling type II Lotka–Volterra predator–prey system with impulsive perturbations on the predator. Zbl 1085.34529
Liu, Xianning; Chen, Lansun
211
2003
Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations. Zbl 0997.35083
Wazwaz, A. M.
203
2002
Application of He’s variational iteration method to Helmholtz equation. Zbl 1086.65113
Momani, Shaher; Abuasad, Salah
184
2006
Some probability densities and fundamental solutions of fractional evolution equations. Zbl 1005.34051
El-Borai, Mahmoud M.
182
2002
Simplest equation method to look for exact solutions of nonlinear differential equations. Zbl 1069.35018
Kudryashov, Nikolai A.
180
2005
Chaos in Chen’s system with a fractional order. Zbl 1060.37026
Li, Changpin; Peng, Guojun
174
2004
Variational principles for some nonlinear partial differential equations with variable coefficients. Zbl 1135.35303
He, Ji-Huan
171
2004
New periodic solutions for nonlinear evolution equations using Exp-function method. Zbl 1152.35441
He, Ji-Huan; Abdou, M. A.
163
2007
Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order. Zbl 1360.34150
Atangana, Abdon; Koca, Ilknur
161
2016
An adaptive chaos synchronization scheme applied to secure communication. Zbl 1048.93508
Feki, Moez
159
2003
Integrable theory of the perturbation equations. Zbl 1080.37578
Ma, W. X.; Fuchssteiner, B.
157
1996
Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order. Zbl 1152.34311
Odibat, Zaid; Momani, Shaher
156
2008
A new chaotic attractor. Zbl 1060.37027
Liu, Chongxin; Liu, Tao; Liu, Ling; Liu, Kai
155
2004
Chaos in the fractional order Chen system and its control. Zbl 1069.37025
Li, Chunguang; Chen, Guanrong
151
2004
On the uncertainty of Cantorian geometry and the two-slit experiment. Zbl 0935.81009
El Naschie, M. S.
149
1998
Adaptive synchronization of chaotic systems and its application to secure communications. Zbl 0967.93059
Liao, Teh-Lu; Tsai, Shin-Hwa
146
2000
A transformed rational function method and exact solutions to the \(3+1\) dimensional Jimbo-Miwa equation. Zbl 1198.35231
Ma, Wen-Xiu; Lee, Jyh-Hao
141
2009
Synchronization of an uncertain unified chaotic system via adaptive control. Zbl 1005.93020
Chen, Shihua; Lü, Jinhu
139
2002
Chaos in duopoly pricing. Zbl 0754.90015
Puu, T.
136
1991
Simple chaotic flows with a line equilibrium. Zbl 1355.37056
Jafari, Sajad; Sprott, J. C.
136
2013
New solitary-wave special solutions with compact support for the nonlinear dispersive \(K(m,n)\) equations. Zbl 1028.35131
Wazwaz, A. M.
136
2002
A symmetric image encryption scheme based on 3D chaotic cat maps. Zbl 1049.94009
Chen, Guanrong; Mao, Yaobin; Chui, Charles K.
135
2004
Numerical comparison of methods for solving linear differential equations of fractional order. Zbl 1137.65450
Momani, Shaher; Odibat, Zaid
131
2007
On new solutions of fuzzy differential equations. Zbl 1142.34309
Chalco-Cano, Y.; Román-Flores, H.
130
2008
Limit cycle and bifurcation of nonlinear problems. Zbl 1093.34520
He, Ji-Huan
128
2005
Chaos in fractional-order autonomous nonlinear systems. Zbl 1033.37019
Ahmad, Wajdi M.; Sprott, J. C.
127
2003
Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems. Zbl 0967.37030
Di Bernardo, M.; Feigin, M. I.; Hogan, S. J.; Homer, M. E.
121
1999
Solution of fractional differential equations by using differential transform method. Zbl 1152.34306
Arikoglu, Aytac; Ozkol, Ibrahim
119
2007
Complex dynamic behaviors of a discrete-time predator-prey system. Zbl 1130.92056
Liu, Xiaoli; Xiao, Dongmei
117
2007
Intuitionistic fuzzy metric spaces. Zbl 1060.54010
Park, Jin Han
109
2004
Chaos synchronization between linearly coupled chaotic systems. Zbl 1067.37043
Lü, Jinhu; Zhou, Tianshou; Zhang, Suochun
107
2002
Homotopy-perturbation method for pure nonlinear differential equation. Zbl 1142.65418
Cveticanin, L.
105
2006
On the intuitionistic fuzzy topological spaces. Zbl 1083.54514
Saadati, Reza; Park, Jin Han
101
2006
Adaptive synchronization of uncertain chaotic systems via backstepping design. Zbl 1015.37052
Wang, C.; Ge, S. S.
99
2001
A note on the fractional-order Chen system. Zbl 1101.37307
Lu, Jun Guo; Chen, Guanrong
99
2006
Global exponential stability of BAM neural networks with delays and impulses. Zbl 1099.68085
Li, Yongkun
98
2005
Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method. Zbl 1022.35051
Wazwaz, A. M.
97
2001
Global robust stability of delayed recurrent neural networks. Zbl 1075.68070
Cao, Jinde; Huang, De-Shuang; Qu, Yuzhong
96
2005
Synchronization of two Lorenz systems using active control. Zbl 1079.37515
Bai, Er-Wei; Lonngren, Karl E.
96
1997
The extended \(F\)-expansion method and its application for a class of nonlinear evolution equations. Zbl 1138.35385
Abdou, M. A.
93
2007
Chaos synchronization between two different chaotic systems using active control. Zbl 1091.93520
Yassen, M. T.
91
2005
The one-dimensional heat equation subject to a boundary integral specification. Zbl 1139.35352
Dehghan, Mehdi
91
2007
Simple and complex adjustment dynamics in Cournot duopoly models. Zbl 1080.91541
Kopel, Michael
91
1996
Sequential synchronization of two Lorenz systems using active control. Zbl 0985.37106
Bai, Er-Wei; Lonngren, Karl E.
89
2000
Exact special solutions with solitary patterns for the nonlinear dispersive \(K(m,n)\) equations. Zbl 1027.35115
Wazwaz, A. M.
88
2002
Design of adaptive sliding mode controller for chaos synchronization with uncertainties. Zbl 1060.93536
Yau, Her-Terng
87
2004
A numerical simulation and explicit solutions of KdV-Burgers’ and Lax’s seventh-order KdV equations. Zbl 1099.35521
Soliman, A. A.
87
2006
New exact travelling wave solutions using modified extended tanh-function method. Zbl 1139.35388
El-Wakil, S. A.; Abdou, M. A.
86
2007
Periodic and solitary-wave solutions of the Degasperis-Procesi equation. Zbl 1049.35162
Vakhnenko, V. O.; Parkes, E. J.
85
2004
Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics. Zbl 1030.35136
Fan, Engui
85
2003
Study of a Leslie-Gower-type tritrophic population model. Zbl 1031.92027
Aziz-Alaoui, M. A.
85
2002
Variational approach for nonlinear oscillators. Zbl 1152.34327
He, Ji-Huan
85
2007
Complex dynamics of a Holling type II prey-predator system with state feedback control. Zbl 1203.34071
Jiang, Guirong; Lu, Qishao; Qian, Linning
85
2007
Controlling and synchronizing chaotic Genesio system via nonlinear feedback control. Zbl 1044.93026
Chen, Maoyin; Han, Zhengzhi
84
2003
On redefining a snap-back repeller. Zbl 1077.37027
Marotto, F. R.
82
2005
Bifurcation analysis for Chen’s system with delayed feedback and its application to control of chaos. Zbl 1112.37303
Song, Yongli; Wei, Junjie
81
2004
Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equation. Zbl 1092.37054
Wang, Mingliang; Li, Xiangzheng
78
2005
Chaotic dynamics and synchronization of fractional-order Arneodo’s systems. Zbl 1074.65146
Lu, Jun Guo
77
2005
On the generalized Lorenz canonical form. Zbl 1100.37016
Čelikovský, Sergej; Chen, Guanrong
77
2005
Beyond Adomian polynomials: He polynomials. Zbl 1197.65061
Ghorbani, Asghar
77
2009
Chaos of discrete dynamical systems in complete metric spaces. Zbl 1067.37047
Shi, Yuming; Chen, Guanrong
75
2004
On the solitary wave solutions for nonlinear Hirota-Satsuma coupled KdV equations. Zbl 1069.35080
Zayed, E. M. E.; Zedan, H. A.; Gepreel, K. A.
75
2004
Horseshoes in piecewise continuous maps. Zbl 1053.37006
Yang, Xiao-Song; Tang, Yun
75
2004
Delay-dependent exponential stability of cellular neural networks with time-varying delays. Zbl 1094.34055
Zhang, Qiang; Wei, Xiaopeng; Xu, Jin
74
2005
On the unification of heterotic strings, M theory and \({\mathcal E}^{(\infty)}\) theory. Zbl 1008.81511
El Naschie, M. S.
74
2000
Lag synchronization of hyperchaos with application to secure communications. Zbl 1068.94004
Li, Chuandong; Liao, Xiaofeng; Wong, Kwok-wo
72
2005
A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach. Zbl 1072.92004
Cao, Jinde; Ho, Daniel W. C.
72
2005
Globally exponentially robust stability and periodicity of delayed neural networks. Zbl 1061.94552
Cao, Jinde; Chen, Tianping
72
2004
Analysis of a 3D chaotic system. Zbl 1148.37027
Tigan, Gheorghe; Opriş, Dumitru
72
2008
Calculation of Lyapunov exponents for dynamic systems with discontinuities. Zbl 1080.34540
Müller, Peter C.
72
1995
Global chaos synchronization of new chaotic systems via nonlinear control. Zbl 1102.37302
Chen, Hsien-Keng
70
2005
Synchronization criteria of Lur’e systems with time-delay feedback control. Zbl 1086.93050
Cao, Jinde; Li, H. X.; Ho, Daniel W. C.
70
2005
The \(\tan h\) method: solitons and periodic solutions for the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations. Zbl 1070.35076
Wazwaz, Abdul-Majid
70
2005
Solution of fractional integro-differential equations by using fractional differential transform method. Zbl 1197.45001
Arikoglu, Aytac; Ozkol, Ibrahim
70
2009
Modified projective synchronization of chaotic system. Zbl 1134.37331
Li, Guo-Hui
70
2007
Hidden extreme multistability in memristive hyperchaotic system. Zbl 1373.34069
Bao, B. C.; Bao, H.; Wang, N.; Chen, M.; Xu, Q.
69
2017
Bifurcation and chaos in discrete - time predator - prey system. Zbl 1085.92045
Jing, Zhujun; Yang, Jianping
69
2006
A simple global synchronization criterion for coupled chaotic systems. Zbl 1065.70015
Jiang, Guoping; Tang, Wallace Kit-Sang; Chen, Guanrong
68
2003
Generalized synchronization in chaotic systems. Zbl 0946.34040
Yang, S. S.; Duan, C. K.
67
1998
Exponential stability of continuous-time and discrete-time bidirectional associative memory networks with delays. Zbl 1062.68102
Liang, Jinling; Cao, Jinde
67
2004
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
66
2005
Controlling chaos and synchronization for new chaotic system using linear feedback control. Zbl 1093.93539
Yassen, M. T.
66
2005
An application of the decomposition method for the generalized KdV and RLW equations. Zbl 1030.35139
Kaya, Doǧan; El-Sayed, Salah M.
66
2003
Bifurcations of a predator-prey system of Holling and Leslie types. Zbl 1156.34029
Li, Yilong; Xiao, Dongmei
66
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
65
2005
The solution of nonlinear coagulation problem with mass loss. Zbl 1101.82018
Abulwafa, E. M.; Abdou, M. A.; Mahmoud, A. A.
65
2006
A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation. Zbl 1030.37047
Vakhnenko, V. O.; Parkes, E. J.; Morrison, A. J.
65
2003
Synchronizing chaotic systems using backstepping design. Zbl 1035.34025
Tan, Xiaohui; Zhang, Jiye; Yang, Yiren
65
2003
Synchronization of Genesio chaotic system via backstepping approach. Zbl 1091.93028
Park, Ju H.
65
2006
Exp-function method and its application to nonlinear equations. Zbl 1153.35384
Wu, Xu-Hong (Benn); He, Ji-Huan
64
2008
On the Fibonacci \(k\)-numbers. Zbl 1158.11306
Falcón, Sergio; Plaza, Ángel
64
2007
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
63
2006
Dynamic complexities of a Holling I predator-prey model concerning periodic biological and chemical control. Zbl 1058.92047
Liu, Bing; Zhang, Yujuan; Chen, Lansun
63
2004
Parameter identification and backstepping control of uncertain Lü system. Zbl 1068.93019
Wu, Xiao-Qun; Lu, Jun-An
63
2003
The compound structure of a new chaotic attractor. Zbl 1067.37042
Lü, Jinhu; Chen, Guanrong; Zhang, Suochun
63
2002
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
9
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.
7
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’Regan, Donal
4
2020
Dynamics of fractional-order delay differential model for tumor-immune system. Zbl 1434.92017
Rihan, F. A.; Velmurugan, G.
3
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
2
2020
King algorithm: a novel optimization approach based on variable-order fractional calculus with application in chaotic financial systems. Zbl 1434.65084
Soradi-Zeid, Samaneh; Jahanshahi, Hadi; Yousefpour, Amin; Bekiros, Stelios
2
2020
Oligopolies price game in fractional order system. Zbl 1434.91043
Li, Yaguang; Sun, Chunhua; Ling, Haifeng; Lu, An; Liu, Yezheng
2
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.
2
2020
Symmetry breaking of spatial Kerr solitons in fractional dimension. Zbl 1434.35008
Li, Pengfei; Malomed, Boris A.; Mihalache, Dumitru
2
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
1
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.
1
2020
High- and low-level chaos in the time and frequency market returns of leading cryptocurrencies and emerging assets. Zbl 1434.91048
Omane-Adjepong, Maurice; Alagidede, Imhotep Paul
1
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.
1
2020
Piecewise asymptotic almost periodic solutions for impulsive fuzzy Cohen-Grossberg neural networks. Zbl 1434.34068
Abdelaziz, Meryem; Chérif, Farouk
1
2020
Implementing high-order chaos control scheme for cardiac conduction model with pathological rhythms. Zbl 1434.93031
Lounis, Fatima; Boukabou, Abdelkrim; Soukkou, Ammar
1
2020
Shifted-Chebyshev-polynomial-based numerical algorithm for fractional order polymer visco-elastic rotating beam. Zbl 1434.74060
Wang, Lei; Chen, Yi-Ming
1
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
1
2020
A stochastic delay model of HIV pathogenesis with reactivation of latent reservoirs. Zbl 1434.92019
Qesmi, Redouane; Hammoumi, Aayah
1
2020
Finite-time synchronization of hyperchaotic systems based on feedback passivation. Zbl 1434.93084
Sangpet, Teerawat; Kuntanapreeda, Suwat
1
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
1
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
10
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
6
2019
Fractional logistic models in the frame of fractional operators generated by conformable derivatives. Zbl 1448.34006
Abdeljawad, Thabet; Al-Mdallal, Qasem M.; Jarad, Fahd
5
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
5
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.
5
2019
Evolutionary vaccination game approach in metapopulation migration model with information spreading on different graphs. Zbl 1448.92303
Kabir, K. M. Ariful; Tanimoto, Jun
4
2019
System of fractional differential algebraic equations with applications. Zbl 1448.34026
Shiri, B.; Baleanu, D.
4
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
4
2019
A singular ABC-fractional differential equation with \(p\)-Laplacian operator. Zbl 1448.34047
Khan, Hasib; Jarad, Fahd; Abdeljawad, Thabet; Khan, Aziz
4
2019
Behavioural study of symbiosis dynamics via the Caputo and Atangana-Baleanu fractional derivatives. Zbl 1448.35558
Owolabi, Kolade M.
4
2019
Dynamical behaviors for vaccination can suppress infectious disease – a game theoretical approach. Zbl 1448.91033
Ariful Kabir, K. M.; Tanimoto, Jun
4
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
3
2019
Variational calculus involving nonlocal fractional derivative with Mittag-Leffler kernel. Zbl 1442.49026
Chatibi, Y.; El Kinani, E. H.; Ouhadan, A.
3
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
3
2019
Modeling the transmission of dengue infection through fractional derivatives. Zbl 1448.92300
Jan, Rashid; Khan, Muhammad Altaf; Kumam, Poom; Thounthong, Phatiphat
3
2019
Explicit impacts of harvesting in delayed predator-prey models. Zbl 1448.92171
Barman, Binandita; Ghosh, Bapan
3
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.
3
2019
Predator-prey models with non-analytical functional response. Zbl 1448.92210
Kooij, Robert E.; Zegeling, André
3
2019
Equicontinuity of maps on dendrites. Zbl 1448.54023
Camargo, Javier; Rincón, Michael; Uzcátegui, Carlos
3
2019
Mathematical modeling for the impacts of deforestation on wildlife species using Caputo differential operator. Zbl 1448.92380
Qureshi, Sania; Yusuf, Abdullahi
3
2019
Validity of fractal derivative to capturing chaotic attractors. Zbl 1448.34010
Atangana, Abdon; Khan, Muhammad Altaf
3
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.
3
2019
Numerical approximations of Atangana-Baleanu Caputo derivative and its application. Zbl 1442.65183
Yadav, Swati; Pandey, Rajesh K.; Shukla, Anil K.
2
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
2
2019
Impact of prey herd shape on the predator-prey interaction. Zbl 1448.92188
Djilali, Salih
2
2019
Bifurcations and simulations of two predator-prey models with nonlinear harvesting. Zbl 1448.92228
Lv, Yunfei; Pei, Yongzhen; Wang, Yong
2
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
2
2019
Can Bertrand and Cournot oligopolies be combined? Zbl 1448.91166
Puu, Tonu; Tramontana, Fabio
2
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
2
2019
On chaotic models with hidden attractors in fractional calculus above power law. Zbl 1448.34014
Doungmo Goufo, Emile Franc
2
2019
A fractional mathematical model of breast cancer competition model. Zbl 1448.92105
Solís-Pérez, J. E.; Gómez-Aguilar, J. F.; Atangana, A.
2
2019
On the oscillation of Caputo fractional differential equations with Mittag-Leffler nonsingular kernel. Zbl 1448.34005
Abdalla, Bahaaeldin; Abdeljawad, Thabet
2
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
2
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.
2
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.
2
2019
A new fractional analysis on the polluted lakes system. Zbl 1448.92369
Bildik, Necdet; Deniz, Sinan
2
2019
Modeling chickenpox disease with fractional derivatives: from Caputo to Atangana-Baleanu. Zbl 1448.92331
Qureshi, Sania; Yusuf, Abdullahi
2
2019
Optimal control problem for variable-order fractional differential systems with time delay involving Atangana-Baleanu derivatives. Zbl 1448.49005
Bahaa, G. M.
2
2019
A novel track control for Lorenz system with single state feedback. Zbl 1448.93128
Gao, Richie
2
2019
Nonlinear planetary-synoptic wave interaction under generalized beta effect and its solutions. Zbl 1448.86010
Zhang, Ruigang; Liu, Quansheng; Yang, Liangui; Song, Jian
2
2019
Modelling effects of a chemotherapeutic dose response on a stochastic tumour-immune model. Zbl 1448.92107
Yang, Jin; Tan, Yuanshun; Cheke, Robert A.
2
2019
Dynamical behaviour of fractional order tumor model with Caputo and conformable fractional derivative. Zbl 1448.92095
Balcı, Ercan; Öztürk, İlhan; Kartal, Senol
2
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
2
2019
Inverse Mittag-Leffler stability of structural derivative nonlinear dynamical systems. Zbl 1448.34113
Hu, D. L.; Chen, W.; Liang, Y. J.
2
2019
Stochastic sensitivity analysis of chaotic attractors in 2D non-invertible maps. Zbl 1448.39029
Bashkirtseva, I.; Ryashko, Lev
2
2019
Fractional difference operators with discrete generalized Mittag-Leffler kernels. Zbl 1448.39032
Abdeljawad, Thabet
2
2019
A comparison study of bank data in fractional calculus. Zbl 1448.91176
Wang, Wanting; Khan, Muhammad Altaf; Fatmawati; Kumam, P.; Thounthong, P.
2
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
2
2019
The dynamics of viral infection in toxin producing phytoplankton and zooplankton system with time delay. Zbl 1442.92120
Agnihotri, Kulbhushan; Kaur, Harpreet
1
2019
Unsteady Gerstner waves. Zbl 1442.76020
Abrashkin, Anatoly
1
2019
Approximation techniques of optimal control problems for fractional dynamic systems in separable Hilbert spaces. Zbl 1442.49007
Peng, Li; Zhou, Yong; Debbouche, Amar
1
2019
Suppression and revival of oscillations through time-varying interaction. Zbl 1442.34064
Chaurasia, Sudhanshu Shekhar; Choudhary, Anshul; Shrimali, Manish Dev; Sinha, Sudeshna
1
2019
Stability and Hopf bifurcation analysis of a TCP/RAQM network with ISMC procedure. Zbl 1442.93014
Khoshnevisan, Ladan; Liu, Xinzhi; Salmasi, Farzad R.
1
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
1
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
1
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
1
2019
Existence of solutions of a class of nonlinear nonlocal problems involving the potential. Zbl 1448.35528
Esfahani, Amin
1
2019
Chaotic behavior of predator-prey model with group defense and non-linear harvesting in prey. Zbl 1448.92213
Kumar, Sachin; Kharbanda, Harsha
1
2019
Noether’s theorem for fractional Herglotz variational principle in phase space. Zbl 1448.70051
Tian, Xue; Zhang, Yi
1
2019
Analysis of SIR epidemic model with information spreading of awareness. Zbl 1448.92302
Kabir, K. M. Ariful; Kuga, Kazuki; Tanimoto, Jun
1
2019
Fractal-fractional modelling of partially penetrating wells. Zbl 1448.35560
Razminia, Kambiz; Razminia, Abolhassan; Baleanu, Dumitru
1
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
1
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
1
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.
1
2019
Realizing the transformation of logic gates in a genetic toggle system under Lévy noise. Zbl 1448.92151
Wu, Juan; Xu, Yong; Ma, Shaojuan
1
2019
D-summable fractal dimensions of complex networks. Zbl 1451.28006
Ramirez-Arellano, Aldo; Bermúdez-Gómez, Salvador; Hernández-Simón, Luis Manuel; Bory-Reyes, Juan
1
2019
A synergy of punishment and extortion in cooperation dilemmas driven by the leader. Zbl 1448.91043
Wang, JunFang; Guo, JinLi
1
2019
New types of fractal interpolation surfaces. Zbl 1448.37033
Ri, Songil
1
2019
Identifying influential nodes based on fuzzy local dimension in complex networks. Zbl 1448.05167
Wen, Tao; Jiang, Wen
1
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.
1
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
1
2019
Global stability of a multipatch disease epidemics model. Zbl 1448.92332
Rebaza, Jorge
1
2019
Phase portraits of continuous piecewise linear Liénard differential systems with three zones. Zbl 1448.34070
Li, Shimin; Llibre, Jaume
1
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
1
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.
1
2019
Hopf bifurcation in a diffusive predator-prey model with competitive interference. Zbl 1448.92221
Liu, Fuxiang; Yang, Ruizhi; Tang, Leiyu
1
2019
Dynamics analysis on competition between manufacturing and remanufacturing in context of government subsidies. Zbl 1448.91167
Zhao, Liuwei; Chang, Jianwei; Du, Jianguo
1
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
1
2019
Stability and chaos in the fractional Chen system. Zbl 1448.34087
Čermák, Jan; Nechvátal, Luděk
1
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
1
2019
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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 Llibre, Jaume
54 Noorani, Mohd Salmi Mohd
54 Xu, Rui
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53 Abbasbandy, Saeid
53 Jiang, Haijun
53 Li, Yongkun
53 Tian, Bo
52 Kwon, O. M.
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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
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45 Machado, José António Tenreiro
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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.
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38 Jiang, Daqing
38 Jiao, Jianjun
38 Xia, Tie-Cheng
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