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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: https://www.sciencedirect.com/journal/chaos-solitons-and-fractals/issues
Comments: Journal; No longer indexed
Documents Indexed: 9,319 Publications (1991–2022)
References Indexed: 9,227 Publications with 265,983 References.
all top 5

Authors

175 El Naschie, Mohamed Saladin
65 Chen, Guanrong
51 Zhang, Hongqing
49 Xu, Wei
44 Zhang, Yufeng
43 Liao, Xiaofeng
40 Chen, Lansun
37 Han, Maoan
36 Kapitaniak, Tomasz
36 Park, Juhyun (Jessie)
34 Băleanu, Dumitru I.
34 Gómez-Aguilar, José Francisco
34 Sidharth, Burra Gautam
32 Antoniou, Ioannis E.
32 Tian, Lixin
31 Cao, Jinde
31 Kofané, Timoléon Crépin
31 Yang, Xiaosong
30 Atangana, Abdon
29 Yan, Zhenya
28 Gardini, Laura
26 Owolabi, Kolade Matthew
26 Wang, Jiang
25 Chen, Dengyuan
25 Grigolini, Paolo
24 Roy Chowdhury, Asesh
24 Seadawy, Aly R.
22 Biswas, Anjan
22 Elishakoff, Isaac
22 Ge, Zhengming
22 Llibre, Jaume
22 Xia, Tie-Cheng
21 Caldas, Iberê L.
21 Jing, Zhujun
21 Yan, Jun-Juh
20 Chen, Yong
20 Wazwaz, Abdul-Majid Abdul-Rahman
19 Abdeljawad, Thabet
19 Argyris, John Hadji
19 Cui, Baotong
19 Holden, Arun V.
19 Kurths, Jürgen
19 Perc, Matjaž
19 Teng, Zhi-dong
18 Inc, Mustafa
18 Kumar Upadhyay, Ranjit
18 Malomed, Boris A.
18 Porsezian, Kuppusamy
18 Puu, Tönu
18 Sun, Yeong-Jeu
18 Tanimoto, Jun
18 Tian, Bo
18 Wadati, Miki
18 Wiercigroch, Marian
18 Zhong, Shou-Ming
17 Al-saedi, Ahmed Eid Salem
17 El-Gohary, Awad I.
17 Hayat, Tasawar
17 Jafari, Sajad
17 Lu, Junguo
17 Luo, Albert C. J.
17 Saniga, Metod
16 Bashkirtseva, Irina Adol’fovna
16 Dai, Meifeng
16 Rossler, Otto E.
16 Ryashko, Lev Borisovich
16 Wang, Fengyan
16 Zak, Michail A.
16 Zhang, Shuwen
16 Zhou, Tianshou
15 Agiza, Hamdy N.
15 Andreadis, Ioannis
15 Bekiros, Stelios D.
15 Dai, Chaoqing
15 Duan, Wenshan
15 Hu, Cheng
15 Kudryashov, Nikolaĭ Alekseevich
15 Lien, Chang-Hua
15 Lu, Junan
15 Ramos, Juan I.
15 Salarieh, Hassan
15 Tam, Hon-Wah
15 Wang, Qi
15 Wei, Junjie
15 Yu, Pei
15 Zhang, Suochun
14 Adamatzky, Andrew I.
14 Agop, Maricel
14 Akgül, Ali
14 Chen, Qingjiang
14 Fan, Engui
14 Heydari, Mohammad Hossein
14 Jiang, Haijun
14 Jumarie, Guy M.
14 Kengne, Jacques
14 Li, Chuandong
14 Liao, Tehlu
14 Sanjuán, Miguel A. F.
14 Shah, Kamal
14 Singh, Vimal
...and 11,991 more Authors
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Fields

3,340 Dynamical systems and ergodic theory (37-XX)
2,225 Ordinary differential equations (34-XX)
1,656 Partial differential equations (35-XX)
1,569 Biology and other natural sciences (92-XX)
1,066 Systems theory; control (93-XX)
745 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
617 Quantum theory (81-XX)
535 Numerical analysis (65-XX)
433 Information and communication theory, circuits (94-XX)
426 Probability theory and stochastic processes (60-XX)
407 Mechanics of particles and systems (70-XX)
404 Statistical mechanics, structure of matter (82-XX)
391 Real functions (26-XX)
372 Fluid mechanics (76-XX)
357 Measure and integration (28-XX)
266 Relativity and gravitational theory (83-XX)
234 Computer science (68-XX)
229 Mechanics of deformable solids (74-XX)
211 Operations research, mathematical programming (90-XX)
198 Optics, electromagnetic theory (78-XX)
190 Difference and functional equations (39-XX)
187 General topology (54-XX)
168 Statistics (62-XX)
114 Operator theory (47-XX)
107 Number theory (11-XX)
96 Geophysics (86-XX)
89 Combinatorics (05-XX)
77 Calculus of variations and optimal control; optimization (49-XX)
76 Differential geometry (53-XX)
66 Integral equations (45-XX)
54 General and overarching topics; collections (00-XX)
54 Global analysis, analysis on manifolds (58-XX)
53 Harmonic analysis on Euclidean spaces (42-XX)
48 Classical thermodynamics, heat transfer (80-XX)
46 Manifolds and cell complexes (57-XX)
41 Nonassociative rings and algebras (17-XX)
39 Functional analysis (46-XX)
35 Special functions (33-XX)
35 Approximations and expansions (41-XX)
31 Mathematical logic and foundations (03-XX)
27 Linear and multilinear algebra; matrix theory (15-XX)
24 Astronomy and astrophysics (85-XX)
22 Functions of a complex variable (30-XX)
20 Algebraic geometry (14-XX)
15 History and biography (01-XX)
15 Convex and discrete geometry (52-XX)
13 Geometry (51-XX)
12 Sequences, series, summability (40-XX)
12 Integral transforms, operational calculus (44-XX)
11 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)
3 General algebraic systems (08-XX)
3 Field theory and polynomials (12-XX)
3 Associative rings and algebras (16-XX)
3 Algebraic topology (55-XX)
2 Category theory; homological algebra (18-XX)
1 Commutative algebra (13-XX)
1 Topological groups, Lie groups (22-XX)
1 Abstract harmonic analysis (43-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

7,566 Publications have been cited 82,562 times in 38,155 Documents Cited by Year
Exp-function method for nonlinear wave equations. Zbl 1141.35448
He, Ji-Huan; Wu, Xu-Hong
542
2006
Application of homotopy perturbation method to nonlinear wave equations. Zbl 1072.35502
He, Ji-Huan
407
2005
Fractional relaxation-oscillation and fractional diffusion-wave phenomena. Zbl 1080.26505
Mainardi, Francesco
345
1996
Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order. Zbl 1360.34150
Atangana, Abdon; Koca, Ilknur
330
2016
Construction of solitary solution and compacton-like solution by variational iteration method. Zbl 1147.35338
He, Ji-Huan; Wu, Xu-Hong
261
2006
Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations. Zbl 0997.35083
Wazwaz, A. M.
241
2002
A review of \(E\) infinity theory and the mass spectrum of high energy particle physics. Zbl 1071.81501
El Naschie, M. S.
241
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
233
2003
A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative. Zbl 1483.92041
Baleanu, Dumitru; Jajarmi, Amin; Mohammadi, Hakimeh; Rezapour, Shahram
223
2020
Some probability densities and fundamental solutions of fractional evolution equations. Zbl 1005.34051
El-Borai, Mahmoud M.
218
2002
Simplest equation method to look for exact solutions of nonlinear differential equations. Zbl 1069.35018
Kudryashov, Nikolai A.
214
2005
Application of He’s variational iteration method to Helmholtz equation. Zbl 1086.65113
Momani, Shaher; Abuasad, Salah
197
2006
Chaos in Chen’s system with a fractional order. Zbl 1060.37026
Li, Changpin; Peng, Guojun
190
2004
Variational principles for some nonlinear partial differential equations with variable coefficients. Zbl 1135.35303
He, Ji-Huan
189
2004
Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order. Zbl 1152.34311
Odibat, Zaid; Momani, Shaher
189
2008
New periodic solutions for nonlinear evolution equations using Exp-function method. Zbl 1152.35441
He, Ji-Huan; Abdou, M. A.
178
2007
Chaos in the fractional order Chen system and its control. Zbl 1069.37025
Li, Chunguang; Chen, Guanrong
178
2004
Simple chaotic flows with a line equilibrium. Zbl 1355.37056
Jafari, Sajad; Sprott, J. C.
176
2013
Integrable theory of the perturbation equations. Zbl 1080.37578
Ma, W. X.; Fuchssteiner, B.
171
1996
A symmetric image encryption scheme based on 3D chaotic cat maps. Zbl 1049.94009
Chen, Guanrong; Mao, Yaobin; Chui, Charles K.
170
2004
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
170
2009
Chaos in duopoly pricing. Zbl 0754.90015
Puu, T.
168
1991
An adaptive chaos synchronization scheme applied to secure communication. Zbl 1048.93508
Feki, Moez
168
2003
A new chaotic attractor. Zbl 1060.37027
Liu, Chongxin; Liu, Tao; Liu, Ling; Liu, Kai
167
2004
Solution of fractional differential equations by using differential transform method. Zbl 1152.34306
Arikoglu, Aytac; Ozkol, Ibrahim
164
2007
On new solutions of fuzzy differential equations. Zbl 1142.34309
Chalco-Cano, Y.; Román-Flores, H.
162
2008
Complex dynamic behaviors of a discrete-time predator-prey system. Zbl 1130.92056
Liu, Xiaoli; Xiao, Dongmei
161
2007
Adaptive synchronization of chaotic systems and its application to secure communications. Zbl 0967.93059
Liao, Teh-Lu; Tsai, Shin-Hwa
158
2000
On the uncertainty of Cantorian geometry and the two-slit experiment. Zbl 0935.81009
El Naschie, M. S.
157
1998
Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system. Zbl 1374.28002
Atangana, Abdon
157
2017
New solitary-wave special solutions with compact support for the nonlinear dispersive \(K(m,n)\) equations. Zbl 1028.35131
Wazwaz, A. M.
151
2002
Numerical comparison of methods for solving linear differential equations of fractional order. Zbl 1137.65450
Momani, Shaher; Odibat, Zaid
147
2007
Synchronization of an uncertain unified chaotic system via adaptive control. Zbl 1005.93020
Chen, Shihua; Lü, Jinhu
145
2002
Chaos in fractional-order autonomous nonlinear systems. Zbl 1033.37019
Ahmad, Wajdi M.; Sprott, J. C.
145
2003
Intuitionistic fuzzy metric spaces. Zbl 1060.54010
Park, Jin Han
135
2004
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.
134
1999
On the intuitionistic fuzzy topological spaces. Zbl 1083.54514
Saadati, Reza; Park, Jin Han
134
2006
Limit cycle and bifurcation of nonlinear problems. Zbl 1093.34520
He, Ji-Huan
132
2005
Fractional derivatives with no-index law property: application to chaos and statistics. Zbl 1415.34010
Atangana, Abdon; Gómez-Aguilar, J. F.
116
2018
A note on the fractional-order Chen system. Zbl 1101.37307
Lu, Jun Guo; Chen, Guanrong
115
2006
The extended \(F\)-expansion method and its application for a class of nonlinear evolution equations. Zbl 1138.35385
Abdou, M. A.
114
2007
On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative. Zbl 1442.34016
Jarad, Fahd; Abdeljawad, Thabet; Hammouch, Zakia
112
2018
Chaos synchronization between linearly coupled chaotic systems. Zbl 1067.37043
Lü, Jinhu; Zhou, Tianshou; Zhang, Suochun
111
2002
Adaptive synchronization of uncertain chaotic systems via backstepping design. Zbl 1015.37052
Wang, C.; Ge, S. S.
109
2001
Homotopy-perturbation method for pure nonlinear differential equation. Zbl 1142.65418
Cveticanin, L.
109
2006
Simple and complex adjustment dynamics in Cournot duopoly models. Zbl 1080.91541
Kopel, Michael
108
1996
Time-space fabric underlying anomalous diffusion. Zbl 1098.60078
Chen, W.
105
2006
Study of a Leslie-Gower-type tritrophic population model. Zbl 1031.92027
Aziz-Alaoui, M. A.
105
2002
Bifurcation analysis for Chen’s system with delayed feedback and its application to control of chaos. Zbl 1112.37303
Song, Yongli; Wei, Junjie
105
2004
The one-dimensional heat equation subject to a boundary integral specification. Zbl 1139.35352
Dehghan, Mehdi
104
2007
New exact travelling wave solutions using modified extended tanh-function method. Zbl 1139.35388
El-Wakil, S. A.; Abdou, M. A.
104
2007
Synchronization of two Lorenz systems using active control. Zbl 1079.37515
Bai, Er-Wei; Lonngren, Karl E.
103
1997
Global robust stability of delayed recurrent neural networks. Zbl 1075.68070
Cao, Jinde; Huang, De-Shuang; Qu, Yuzhong
103
2005
Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method. Zbl 1022.35051
Wazwaz, A. M.
102
2001
Beyond Adomian polynomials: He polynomials. Zbl 1197.65061
Ghorbani, Asghar
102
2009
Global exponential stability of BAM neural networks with delays and impulses. Zbl 1099.68085
Li, Yongkun
100
2005
Complex dynamics of a Holling type II prey-predator system with state feedback control. Zbl 1203.34071
Jiang, Guirong; Lu, Qishao; Qian, Linning
96
2007
On redefining a snap-back repeller. Zbl 1077.37027
Marotto, F. R.
96
2005
Variational approach for nonlinear oscillators. Zbl 1152.34327
He, Ji-Huan
96
2007
Chaos synchronization between two different chaotic systems using active control. Zbl 1091.93520
Yassen, M. T.
96
2005
Controlling and synchronizing chaotic Genesio system via nonlinear feedback control. Zbl 1044.93026
Chen, Maoyin; Han, Zhengzhi
94
2003
Modeling attractors of chaotic dynamical systems with fractal-fractional operators. Zbl 1448.65268
Atangana, Abdon; Qureshi, Sania
94
2019
Design of adaptive sliding mode controller for chaos synchronization with uncertainties. Zbl 1060.93536
Yau, Her-Terng
94
2004
Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equation. Zbl 1092.37054
Wang, Mingliang; Li, Xiangzheng
93
2005
A numerical simulation and explicit solutions of KdV-Burgers’ and Lax’s seventh-order KdV equations. Zbl 1099.35521
Soliman, A. A.
93
2006
Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics. Zbl 1030.35136
Fan, Engui
93
2003
A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative. Zbl 1483.92060
Ghanbari, Behzad; Kumar, Sunil; Kumar, Ranbir
93
2020
Chua’s circuit model with Atangana-Baleanu derivative with fractional order. Zbl 1360.34160
Alkahtani, Badr Saad T.
92
2016
On the Fibonacci \(k\)-numbers. Zbl 1158.11306
Falcón, Sergio; Plaza, Ángel
92
2007
Bifurcation and chaos in discrete-time predator-prey system. Zbl 1085.92045
Jing, Zhujun; Yang, Jianping
92
2006
Sequential synchronization of two Lorenz systems using active control. Zbl 0985.37106
Bai, Er-Wei; Lonngren, Karl E.
91
2000
Hidden extreme multistability in memristive hyperchaotic system. Zbl 1373.34069
Bao, B. C.; Bao, H.; Wang, N.; Chen, M.; Xu, Q.
91
2017
Bifurcations of a predator-prey system of Holling and Leslie types. Zbl 1156.34029
Li, Yilong; Xiao, Dongmei
90
2007
Periodic and solitary-wave solutions of the Degasperis-Procesi equation. Zbl 1049.35162
Vakhnenko, V. O.; Parkes, E. J.
90
2004
Exact special solutions with solitary patterns for the nonlinear dispersive \(K(m,n)\) equations. Zbl 1027.35115
Wazwaz, A. M.
90
2002
Solution of fractional integro-differential equations by using fractional differential transform method. Zbl 1197.45001
Arikoglu, Aytac; Ozkol, Ibrahim
90
2009
Chaotic dynamics and synchronization of fractional-order Arneodo’s systems. Zbl 1074.65146
Lu, Jun Guo
89
2005
Controllability of impulsive functional differential systems with infinite delay in Banach spaces. Zbl 1136.93006
Chang, Yong-Kui
88
2007
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
87
2005
Global exponential stability and periodicity of reaction-diffusion delayed recurrent neural networks with Dirichlet boundary conditions. Zbl 1134.35066
Lu, Jun Guo
86
2008
Comparing the Atangana-Baleanu and Caputo-Fabrizio derivative with fractional order: Allen Cahn model. Zbl 1360.35094
Algahtani, Obaid Jefain Julaighim
84
2016
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.
84
2005
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.
84
2003
A mathematical model for COVID-19 transmission by using the Caputo fractional derivative. Zbl 1495.92104
Tuan, Nguyen Huy; Mohammadi, Hakimeh; Rezapour, Shahram
84
2020
On the generalized Lorenz canonical form. Zbl 1100.37016
Čelikovský, Sergej; Chen, Guanrong
82
2005
Lag synchronization of hyperchaos with application to secure communications. Zbl 1068.94004
Li, Chuandong; Liao, Xiaofeng; Wong, Kwok-wo
80
2005
Synchronization criteria of Lur’e systems with time-delay feedback control. Zbl 1086.93050
Cao, Jinde; Li, H. X.; Ho, Daniel W. C.
80
2005
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.
79
2004
On a coupled system of fractional differential equations with coupled nonlocal and integral boundary conditions. Zbl 1355.34012
Ahmad, Bashir; Ntouyas, Sotiris K.; Alsaedi, Ahmed
78
2016
Calculation of Lyapunov exponents for dynamic systems with discontinuities. Zbl 1080.34540
Müller, Peter C.
78
1995
Analysis of a 3D chaotic system. Zbl 1148.37027
Tigan, Gheorghe; Opriş, Dumitru
77
2008
Modified projective synchronization of chaotic system. Zbl 1134.37331
Li, Guo-Hui
77
2007
Chaos of discrete dynamical systems in complete metric spaces. Zbl 1067.37047
Shi, Yuming; Chen, Guanrong
77
2004
Global chaos synchronization of new chaotic systems via nonlinear control. Zbl 1102.37302
Chen, Hsien-Keng
77
2005
Delay-dependent exponential stability of cellular neural networks with time-varying delays. Zbl 1094.34055
Zhang, Qiang; Wei, Xiaopeng; Xu, Jin
77
2005
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
76
2005
Horseshoes in piecewise continuous maps. Zbl 1053.37006
Yang, Xiao-Song; Tang, Yun
76
2004
Generalized synchronization in chaotic systems. Zbl 0946.34040
Yang, S. S.; Duan, C. K.
75
1998
Fractional-order dynamical models of love. Zbl 1133.91539
Ahmad, Wajdi M.; El-Khazali, Reyad
74
2007
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
74
2019
Shallow-water-wave studies on a (2 + 1)-dimensional Hirota-Satsuma-Ito system: \(X\)-type soliton, resonant \(Y\)-type soliton and hybrid solutions. Zbl 1498.35437
Shen, Yuan; Tian, Bo; Zhou, Tian-Yu; Gao, Xiao-Tian
15
2022
Computational study on the dynamics of fractional order differential equations with applications. Zbl 1498.34042
Shah, Kamal; Arfan, Muhammad; Ullah, Aman; Al-Mdallal, Qasem; Ansari, Khursheed J.; Abdeljawad, Thabet
15
2022
Darboux transformation, localized waves and conservation laws for an \(M\)-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber. Zbl 1506.78011
Yang, Dan-Yu; Tian, Bo; Tian, He-Yuan; Wei, Cheng-Cheng; Shan, Wen-Rui; Jiang, Yan
14
2022
Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation. Zbl 1506.35193
Wu, Xi-Hu; Gao, Yi-Tian; Yu, Xin; Ding, Cui-Cui; Li, Liu-Qing
11
2022
Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method. Zbl 1498.35162
Zhang, Run-Fa; Li, Ming-Chu; Gan, Jian-Yuan; Li, Qing; Lan, Zhong-Zhou
10
2022
Effects of bounded noise and time delay on signal transmission in excitable neural networks. Zbl 1498.92046
Yu, Dong; Wang, Guowei; Ding, Qianming; Li, Tianyu; Jia, Ya
10
2022
On the fractional double integral inclusion relations having exponential kernels via interval-valued co-ordinated convex mappings. Zbl 1506.26004
Du, Tingsong; Zhou, Taichun
9
2022
A note concerning to approximate controllability of Atangana-Baleanu fractional neutral stochastic systems with infinite delay. Zbl 1498.34168
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Nisar, Kottakkaran Sooppy; Shukla, Anurag
9
2022
Complex dynamics of Kopel model with nonsymmetric response between oligopolists. Zbl 1506.91094
Li, Bo; Liang, Houjun; Shi, Lian; He, Qizhi
8
2022
Dynamical behaviors of a stochastic HTLV-I infection model with general infection form and Ornstein-Uhlenbeck process. Zbl 1508.92294
Shi, Zhenfeng; Jiang, Daqing
8
2022
Bifurcation and traveling wave solution to fractional Biswas-Arshed equation with the beta time derivative. Zbl 1504.35623
Li, Zhao
7
2022
\(N\)-fold generalized Darboux transformation and soliton interactions for a three-wave resonant interaction system in a weakly nonlinear dispersive medium. Zbl 1508.35114
Wu, Xi-Hu; Gao, Yi-Tian; Yu, Xin; Ding, Cui-Cui
7
2022
Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, \(N\)-fold Darboux transformation and explicit exact solutions. Zbl 1508.35159
Shen, Yuan; Tian, Bo; Zhou, Tian-Yu; Gao, Xiao-Tian
7
2022
New results on T-S fuzzy sampled-data stabilization for switched chaotic systems with its applications. Zbl 1508.93191
Vadivel, R.; Sabarathinam, S.; Wu, Yongbao; Chaisena, Kantapon; Gunasekaran, Nallappan
7
2022
A new exploration on the existence and approximate controllability for fractional semilinear impulsive control systems of order \(r\in(1,2)\). Zbl 1498.34044
Shukla, Anurag; Vijayakumar, V.; Nisar, Kottakkaran Sooppy
7
2022
Taking into consideration an extended coupled (2+1)-dimensional Burgers system in oceanography, acoustics and hydrodynamics. Zbl 1504.35320
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui
6
2022
Ergodic stationary distribution of stochastic epidemic model for HBV with double saturated incidence rates and vaccination. Zbl 1504.92136
Hussain, Ghulam; Khan, Amir; Zahri, Mostafa; Zaman, Gul
6
2022
Spatiotemporal (target) patterns in sub-diffusive predator-prey system with the Caputo operator. Zbl 1504.92093
Alqhtani, Manal; Owolabi, Kolade M.; Saad, Khaled M.
6
2022
Existence results for Caputo fractional mixed Volterra-Fredholm-type integrodifferential inclusions of order \(r\in (1,2)\) with sectorial operators. Zbl 1505.34096
Mohan Raja, M.; Vijayakumar, V.
6
2022
New finite-time passivity criteria for delayed fractional-order neural networks based on Lyapunov function approach. Zbl 1505.92013
Shafiya, M.; Nagamani, G.
6
2022
Ulam-Hyers stability of Caputo type fuzzy fractional differential equations with time-delays. Zbl 1506.34102
Wang, Xue; Luo, Danfeng; Zhu, Quanxin
6
2022
On the modified Gardner type equation and its time fractional form. Zbl 1498.35597
Wang, Gangwei; Wazwaz, Abdul-Majid
6
2022
Some results on the study of Caputo-Hadamard fractional stochastic differential equations. Zbl 1498.60198
Ben Makhlouf, Abdellatif; Mchiri, Lassaad
6
2022
On fractal-fractional Covid-19 mathematical model. Zbl 1498.92226
Khan, Hasib; Ahmad, Farooq; Tunç, Osman; Idrees, Muhammad
6
2022
Multiple lump, generalized breathers, Akhmediev breather, manifold periodic and rogue wave solutions for generalized FitzHugh-Nagumo equation: applications in nuclear reactor theory. Zbl 1504.35433
Seadawy, Aly R.; Rizvi, Syed T. R.; Ahmed, Sarfaraz
5
2022
Weierstrass and Jacobi elliptic, Bell and kink type, lumps, Ma and Kuznetsov breathers with rogue wave solutions to the dissipative nonlinear Schrödinger equation. Zbl 1504.35496
Seadawy, Aly R.; Rizvi, Syed T. R.; Ahmed, Sarfaraz
5
2022
Some results on finite-time stability of stochastic fractional-order delay differential equations. Zbl 1505.93225
Luo, Danfeng; Tian, Mengquan; Zhu, Quanxin
5
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Non-fractional and fractional mathematical analysis and simulations for Q fever. Zbl 1506.92083
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5
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Interaction properties between rogue wave and breathers to the Manakov system arising from stationary self-focusing electromagnetic systems. Zbl 1506.35189
Li, Bang-Qing; Ma, Yu-Lan
5
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Regarding the shallow water in an ocean via a Whitham-Broer-Kaup-like system: hetero-Bäcklund transformations, bilinear forms and \(M\) solitons. Zbl 1506.35159
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui
5
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Complex dynamics of a Kaldor model of business cycle with discrete-time. Zbl 1498.37138
Eskandari, Z.; Avazzadeh, Z.; Khoshsiar Ghaziani, R.
5
2022
A discussion concerning to partial-approximate controllability of Hilfer fractional system with nonlocal conditions via approximating method. Zbl 1498.34170
Kavitha, K.; Vijayakumar, V.
5
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Novel stability results of multivariable fractional-order system with time delay. Zbl 1498.34218
Zhang, Zhe; Wang, Yaonan; Zhang, Jing; Ai, Zhaoyang; Liu, Feng
5
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Adaptation on power series method with conformable operator for solving fractional order systems of nonlinear partial differential equations. Zbl 1498.35583
Liaqat, Muhammad Imran; Khan, Adnan; Akgül, Ali
5
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Efficient numerical techniques for computing the Riesz fractional-order reaction-diffusion models arising in biology. Zbl 1504.35611
Alqhtani, Manal; Owolabi, Kolade M.; Saad, Khaled M.; Pindza, Edson
4
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Discussion on rational solutions for nematicons in liquid crystals with Kerr law. Zbl 1504.35516
Ali, Kashif; Seadawy, Aly R.; Ahmed, Sarfaraz; Rizvi, Syed T. R.
4
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Modulation instability gain and discrete soliton interaction in gyrotropic molecular chain. Zbl 1504.82063
Abbagari, Souleymanou; Houwe, Alphonse; Akinyemi, Lanre; Saliou, Youssoufa; Bouetou, Thomas Bouetou
4
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Application of Hirota operators for controlling soliton interactions for Bose-Einstein condensate and quintic derivative nonlinear Schrödinger equation. Zbl 1505.35330
Rizvi, Syed T. R.; Seadawy, Aly R.; Farah, N.; Ahmad, S.
4
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Design and DSP implementation of a fractional-order detuned laser hyperchaotic circuit with applications in image encryption. Zbl 1505.94007
Li, Xuejun; Mou, Jun; Banerjee, Santo; Wang, Zhisen; Cao, Yinghong
4
2022
Stability and dynamics of complex order fractional difference equations. Zbl 1505.39013
Bhalekar, Sachin; Gade, Prashant M.; Joshi, Divya
4
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Chirped periodic waves for an cubic-quintic nonlinear Schrödinger equation with self steepening and higher order nonlinearities. Zbl 1506.35213
Seadawy, Aly R.; Rizvi, Syed T. R.; Mustafa, B.; Ali, K.; Althubiti, Saeed
4
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A novel approach for solving linear and nonlinear time-fractional Schrödinger equations. Zbl 1506.35268
Liaqat, Muhammad Imran; Akgül, Ali
4
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Resemblance of the power-law scaling behavior of a non-Markovian and nonlinear point processes. Zbl 1506.60052
Kononovicius, Aleksejus; Kazakevičius, Rytis; Kaulakys, Bronislovas
4
2022
Collisions of kinks in deformed \(\varphi^4\) and \(\varphi^6\) models. Zbl 1508.81933
Moradi Marjaneh, Aliakbar; Simas, Fabiano C.; Bazeia, D.
4
2022
Diffusion of resources and their impact on epidemic spreading in multilayer networks with simplicial complexes. Zbl 1508.92298
Sun, Qingyi; Wang, Zhishuang; Zhao, Dawei; Xia, Chengyi; Perc, Matjaž
4
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Generalized enriched cyclic contractions with application to generalized iterated function system. Zbl 1506.47086
Abbas, Mujahid; Anjum, Rizwan; Iqbal, Hira
4
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Fixed/predefined-time synchronization of fuzzy neural networks with stochastic perturbations. Zbl 1498.34143
Abudusaimaiti, Mairemunisa; Abdurahman, Abdujelil; Jiang, Haijun; Hu, Cheng
4
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Orthonormal shifted discrete Legendre polynomials for the variable-order fractional extended Fisher-Kolmogorov equation. Zbl 1498.35577
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z.
4
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On stability and feedback control of discrete fractional order singular systems with multiple time-varying delays. Zbl 1498.93600
Liu, Xiang; Wang, Peiguang; Anderson, Douglas R.
4
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Partial-approximate controllability of semi-linear systems involving two Riemann-Liouville fractional derivatives. Zbl 1498.93045
Haq, Abdul
4
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Lumps, breathers, interactions and rogue wave solutions for a stochastic gene evolution in double chain deoxyribonucleic acid system. Zbl 1504.35123
Seadawy, Aly R.; Ahmed, Sarfaraz; Rizvi, Syed T. R.; Ali, Kashif
3
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Event-triggered hybrid impulsive control on lag synchronization of delayed memristor-based bidirectional associative memory neural networks for image hiding. Zbl 1504.93155
Yuan, Manman; Luo, Xiong; Mao, Xue; Han, Zhen; Sun, Lei; Zhu, Peican
3
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Predator-taxis creates spatial pattern of a predator-prey model. Zbl 1504.92096
Chen, Mengxin; Zheng, Qianqian
3
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Bifurcation analysis and multiple solitons in birefringent fibers with coupled Schrödinger-Hirota equation. Zbl 1504.35498
Tang, Lu
3
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Hamilton energy, complex dynamical analysis and information patterns of a new memristive FitzHugh-Nagumo neural network. Zbl 1504.92013
Njitacke, Zeric Tabekoueng; Takembo, Clovis Ntahkie; Awrejcewicz, Jan; Fouda, Henri Paul Ekobena; Kengne, Jacques
3
2022
Robust stabilization and synchronization in a network of chaotic systems with time-varying delays. Zbl 1505.93142
Serrano, Fernando E.; Ghosh, Dibakar
3
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Soliton molecules, multi-breathers and hybrid solutions in (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation. Zbl 1505.35085
Wei, Peng-Fei; Long, Chun-Xiao; Zhu, Chen; Zhou, Yi-Ting; Yu, Hui-Zhen; Ren, Bo
3
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Hyers-Ulam stability and existence of solution for hybrid fractional differential equation with \(p\)-Laplacian operator. Zbl 1506.34013
Devi, Amita; Kumar, Anoop
3
2022
Finite-time and fixed-time synchronization analysis of shunting inhibitory memristive neural networks with time-varying delays. Zbl 1506.68104
Kashkynbayev, Ardak; Issakhanov, Alfarabi; Otkel, Madina; Kurths, Jürgen
3
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Construction of dense maximal-dimensional hypercyclic subspaces for Rolewicz operators. Zbl 1511.47045
Bernal-González, L.; Calderón-Moreno, M. C.; Fernández-Sánchez, J.; Muñoz-Fernández, G. A.; Seoane-Sepúlveda, J. B.
3
2022
Lipschitz stability analysis of fractional-order impulsive delayed reaction-diffusion neural network models. Zbl 1506.35273
Stamova, Ivanka; Stamov, Trayan; Stamov, Gani
3
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Some local fractional Maclaurin type inequalities for generalized convex functions and their applications. Zbl 1506.26036
Meftah, B.; Souahi, A.; Merad, M.
3
2022
Guaranteed cost robust output feedback control design for fractional-order uncertain neutral delay systems. Zbl 1507.93174
Aghayan, Zahra Sadat; Alfi, Alireza; Mousavi, Yashar; Kucukdemiral, Ibrahim Beklan; Fekih, Afef
3
2022
Multidimensional dissipative solitons and solitary vortices. Zbl 1507.35260
Malomed, B. A.
3
2022
The Weierstrass and Jacobi elliptic solutions along with multiwave, homoclinic breather, kink-periodic-cross rational and other solitary wave solutions to Fornberg Whitham equation. Zbl 1507.35070
Bashir, Azhar; Seadawy, Aly R.; Ahmed, Sarfaraz; Rizvi, Syed T. R.
3
2022
A stochastic SICA model for HIV/AIDS transmission. Zbl 1507.92119
Tan, Yiping; Cai, Yongli; Sun, Xiaodan; Wang, Kai; Yao, Ruoxia; Wang, Weiming; Peng, Zhihang
3
2022
Kinks in higher-order polynomial models. Zbl 1508.35107
Blinov, Petr A.; Gani, Tatiana V.; Malnev, Alexander A.; Gani, Vakhid A.; Sherstyukov, Vladimir B.
3
2022
Existence of Urysohn and Atangana-Baleanu fractional integral inclusion systems solutions via common fixed point of multi-valued operators. Zbl 1508.45002
Amiri, Pari; Samei, Mohammad Esmael
3
2022
Scattering of kinks in the \(B\varphi^4\) model. Zbl 1508.35111
Mohammadi, M.; Momeni, E.
3
2022
Stability of multi-links complex-valued impulsive stochastic systems with Markovian switching and multiple delays. Zbl 1508.93329
Yang, Ni; Gao, Ruiyi; Su, Huan
3
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Recurrence of a class of quantum Markov chains on trees. Zbl 1508.82006
Barhoumi, Abdessatar; Souissi, Abdessatar
3
2022
Thinking about the oceanic shallow water via a generalized Whitham-Broer-Kaup-Boussinesq-Kupershmidt system. Zbl 1508.76019
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui
3
2022
Superstatistical approach of the anomalous exponent for scaled Brownian motion. Zbl 1508.60100
dos Santos, M. A. F.; Menon, L.; Cius, D.
3
2022
Implementation of \(q\)-calculus on \(q\)-integro-differential equation involving anti-periodic boundary conditions with three criteria. Zbl 1498.39004
Alam, Mehboob; Zada, Akbar
3
2022
Stability analysis for Schnakenberg reaction-diffusion model with gene expression time delay. Zbl 1498.35330
Alfifi, H. Y.
3
2022
Reliability analysis of a class of stochastically excited nonlinear Markovian jump systems. Zbl 1498.62183
Hu, Rongchun; Zhang, Dongxu; Gu, Xudong
3
2022
Chirped optical soliton propagation in birefringent fibers modeled by coupled Fokas-Lenells system. Zbl 1498.35515
Triki, Houria; Zhou, Qin; Liu, Wenjun; Biswas, Anjan; Moraru, Luminita; Yıldırım, Yakup; Alshehri, Hashim M.; Belic, Milivoj R.
3
2022
Controllability of a second-order non-autonomous stochastic semilinear system with several delays in control. Zbl 1498.93032
Afreen, A.; Raheem, A.; Khatoon, A.
3
2022
Novel approximate analytical and numerical cylindrical rogue wave and breathers solutions: an application to electronegative plasma. Zbl 1498.35498
El-Tantawy, S. A.; Alharbey, R. A.; Salas, Alvaro H.
3
2022
A new fractional-order chaos system of Hopfield neural network and its application in image encryption. Zbl 1498.94018
Xu, Shaochuan; Wang, Xingyuan; Ye, Xiaolin
3
2022
Simultaneous inversion of a time-dependent potential coefficient and a time source term in a time fractional diffusion-wave equation. Zbl 1498.35600
Yan, Xiong-bin; Zhang, Zheng-qiang; Wei, Ting
3
2022
Design of fractional hierarchical gradient descent algorithm for parameter estimation of nonlinear control autoregressive systems. Zbl 1498.90248
Chaudhary, Naveed Ishtiaq; Raja, Muhammad Asif Zahoor; Khan, Zeshan Aslam; Mehmood, Ammara; Shah, Syed Muslim
3
2022
Numerical investigation of the variable-order fractional Sobolev equation with non-singular Mittag-Leffler kernel by finite difference and local discontinuous Galerkin methods. Zbl 1498.65157
Fouladi, Somayeh; Dahaghin, Mohammad Shafi
3
2022
Nonparaxial pulse propagation in a planar waveguide with Kerr-like and quintic nonlinearities; computational simulations. Zbl 1498.35463
Khater, Mostafa M. A.
3
2022
Design of intelligent computing networks for nonlinear chaotic fractional Rossler system. Zbl 1498.34167
Bukhari, Ayaz Hussain; Raja, Muhammad Asif Zahoor; Rafiq, Naila; Shoaib, Muhammad; Kiani, Adiqa Kausar; Shu, Chi-Min
3
2022
Existence results and Ulam type stability for conformable fractional oscillating system with pure delay. Zbl 1504.34231
Li, Mengmeng; Wang, JinRong
2
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‘Period doubling’ induced by optimal control in a behavioral SIR epidemic model. Zbl 1504.92157
Sharbayta, Sileshi Sintayehu; Buonomo, Bruno; d’Onofrio, Alberto; Abdi, Tadesse
2
2022
On a study for the neutral Caputo fractional multi-delayed differential equations with noncommutative coefficient matrices. Zbl 1504.34229
Aydin, Mustafa; Mahmudov, Nazim I.
2
2022
Numerical approximation of time fractional partial integro-differential equation based on compact finite difference scheme. Zbl 1504.65291
Luo, Ziyang; Zhang, Xingdong; Wang, Shuo; Yao, Lin
2
2022
Perturbation of chirped localized waves in a dual-power law nonlinear medium. Zbl 1504.74047
Zhou, Qin; Triki, Houria; Xu, Jiakun; Zeng, Zhongliang; Liu, Wenjun; Biswas, Anjan
2
2022
Study on existence and data dependence results for fractional order differential equations. Zbl 1504.45008
Ravichandran, C.; Sowbakiya, V.; Nisar, Kottakkaran Sooppy
2
2022
Rényi entropy and divergence for VARFIMA processes based on characteristic and impulse response functions. Zbl 1504.94078
Contreras-Reyes, Javier E.
2
2022
The influence of quadratic Lévy noise on the dynamic of an SIC contagious illness model: new framework, critical comparison and an application to COVID-19 (SARS-CoV-2) case. Zbl 1505.92228
Sabbar, Yassine; Kiouach, Driss; Rajasekar, S. P.; El Azami El-idrissi, Salim
2
2022
Stochastic generation and shifts of phantom attractors in the 2D Rulkov model. Zbl 1505.37062
Bashkirtseva, Irina; Ryashko, Lev
2
2022
Bifurcations, stability analysis and complex dynamics of Caputo fractal-fractional cancer model. Zbl 1505.37104
Xuan, Liu; Ahmad, Shabir; Ullah, Aman; Saifullah, Sayed; Akgül, Ali; Qu, Haidong
2
2022
Exploration of bifurcation for a fractional-order BAM neural network with \(n+2\) neurons and mixed time delays. Zbl 1505.37103
Wang, Yangling; Cao, Jinde; Huang, Chengdai
2
2022
Prediction of optical solitons using an improved physics-informed neural network method with the conservation law constraint. Zbl 1505.78035
Wu, Gang-Zhou; Fang, Yin; Kudryashov, Nikolay A.; Wang, Yue-Yue; Dai, Chao-Qing
2
2022
The nonlinear wave solutions and parameters discovery of the Lakshmanan-Porsezian-Daniel based on deep learning. Zbl 1505.35332
Zhang, Yabin; Wang, Lei; Zhang, Peng; Luo, Haotian; Shi, Wanlin; Wang, Xin
2
2022
Kraenkel-Manna-Merle saturated ferromagnetic system: Darboux transformation and loop-like soliton excitations. Zbl 1505.35317
Ma, Yu-Lan; Li, Bang-Qing
2
2022
Faedo-Galerkin method for impulsive second-order stochastic integro-differential systems. Zbl 1505.65238
Kumar, Surendra; Sharma, Paras
2
2022
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153 Wang, Xingyuan
147 Dehghan Takht Fooladi, Mehdi
144 Hayat, Tasawar
141 Chen, Lansun
131 Han, Maoan
128 Al-saedi, Ahmed Eid Salem
122 Teng, Zhi-dong
122 Xu, Wei
114 Park, Juhyun (Jessie)
101 Shah, Kamal
100 Zhong, Shou-Ming
99 Liao, Xiaofeng
98 Gómez-Aguilar, José Francisco
98 Jafari, Sajad
97 Ahmad, Bashir
97 Inc, Mustafa
96 Ma, Wen-Xiu
96 Rezapour, Shahram
94 Biswas, Anjan
92 Atangana, Abdon
90 Momani, Shaher M.
88 Tian, Bo
88 Tian, Lixin
86 Pham, Viet-Thanh
85 Jiang, Daqing
85 Kudryashov, Nikolaĭ Alekseevich
84 Yıldırım, Ahmet
82 Sooppy Nisar, Kottakkaran
82 Vaidyanathan, Sundarapandian
78 Balasubramaniam, Pagavathigounder
78 Jiang, Haijun
78 Nieto Roig, Juan Jose
74 Li, Xiaodi
72 Khalique, Chaudry Masood
71 Llibre, Jaume
70 Gardini, Laura
70 Jarad, Fahd
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69 Huang, Lihong
69 Kumar Upadhyay, Ranjit
69 Yang, Xiaosong
68 Agarwal, Ravi P.
68 Akgül, Ali
68 Zhang, Yufeng
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65 Seadawy, Aly R.
64 Zhang, Wei
63 Rajagopal, Karthikeyan
62 Xu, Changjin
61 Li, Yongkun
61 Sakthivel, Rathinasamy
61 Xu, Rui
60 Abbasbandy, Saeid
60 Li, Chuandong
60 Owolabi, Kolade Matthew
59 Yu, Pei
58 Bekir, Ahmet
58 Chu, Yuming
58 Liu, Xinzhi
57 Gao, Yitian
57 Noorani, Mohd Salmi Mohd
57 Odibat, Zaid M.
57 Yang, Qigui
57 Zhang, Tonghua
56 Meng, Xinzhu
56 Mohyud-Din, Syed Tauseef
56 Rakkiyappan, Rajan
56 Zhu, Quanxin
55 Hashim, Ishak
55 Ma, Junhai
55 Salahshour, Soheil
54 Etemad, Sina
54 Kwon, O. M.
54 Zhang, Hongqing
53 Heydari, Mohammad Hossein
53 Kapitaniak, Tomasz
53 Machado, José António Tenreiro
52 Baskonus, Haci Mehmet
52 Bi, Qinsheng
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51 Dong, Huanhe
51 Ouannas, Adel
50 El-Nabulsi, Rami Ahmad
50 Kumar, Devendra
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50 Vijayakumar, Velusamy
49 Jafari, Hossein
49 Kurths, Jürgen
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