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Chaos

An Interdisciplinary Journal of Nonlinear Science

Short Title: Chaos
Publisher: AIP Publishing, Melville, NY; American Institute of Physics (AIP), College Park, MD
ISSN: 1054-1500; 1089-7682/e
Online: https://aip.scitation.org/toc/cha/current
Documents Indexed: 3,688 Publications (since 1991)
References Indexed: 3,667 Publications with 132,182 References.
all top 5

Latest Issues

31, No. 7 (2021)
31, No. 6 (2021)
31, No. 5 (2021)
31, No. 4 (2021)
31, No. 3 (2021)
31, No. 2 (2021)
31, No. 1 (2021)
30, No. 12 (2020)
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26, No. 12 (2016)
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26, No. 5 (2016)
26, No. 4 (2016)
26, No. 3 (2016)
26, No. 2 (2016)
26, No. 1 (2016)
25, No. 12 (2015)
25, No. 11 (2015)
25, No. 10 (2015)
25, No. 9 (2015)
25, No. 8 (2015)
25, No. 7 (2015)
25, No. 5 (2015)
25, No. 4 (2015)
25, No. 3 (2015)
25, No. 2 (2015)
25, No. 1 (2015)
24, No. 4 (2014)
24, No. 3 (2014)
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24, No. 1 (2014)
23, No. 4 (2013)
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22, No. 4 (2012)
22, No. 3 (2012)
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21, No. 4 (2011)
21, No. 3 (2011)
21, No. 2 (2011)
21, No. 1 (2011)
20, No. 4 (2010)
20, No. 3 (2010)
20, No. 2 (2010)
20, No. 1 (2010)
19, No. 4 (2009)
19, No. 3 (2009)
...and 72 more Volumes
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Authors

70 Kurths, Jürgen
35 Chen, Guanrong
32 Ott, Edward
31 Zaslavskiĭ, Georgiĭ Moiseevich
26 Lai, Yingcheng
25 Malomed, Boris A.
24 Pikovsky, Arkady S.
23 Carroll, Thomas L.
22 Aihara, Kazuyuki
19 Schöll, Eckehard
18 Letellier, Christophe
18 Small, Michael
17 Cao, Jinde
17 Ghosh, Dibakar
17 Haller, George
17 Nekorkin, Vladimir I.
17 Xu, Wei
17 Yan, Zhenya
16 Dana, Syamal Kumar
16 Grebogi, Celso
16 Hirata, Yoshito
16 Neĭshtadt, Anatoliĭ Iserovich
16 Sanjuán, Miguel A. F.
15 Băleanu, Dumitru I.
15 Caldas, Iberê L.
15 Duan, Jinqiao
15 Epstein, Irving R.
14 Bollt, Erik M.
14 Gottwald, Georg A.
14 Lu, Junan
14 Wu, Xiaoqun
13 Anishchenko, Vadim Semenovich
13 Antonsen, Thomas M. jun.
13 Girvan, Michelle
13 Kapitaniak, Tomasz
13 Macau, Elbert E. N.
13 Meiss, James D.
13 Osipov, Grigory V.
13 Wang, Jiang
12 Boccaletti, Stefano
12 Crutchfield, James P.
12 Lakshmanan, Muthusamy
12 Sorrentino, Francesco
11 Baptista, Murilo S.
11 Bunimovich, Leonid Abramovich
11 Li, Chuandong
11 Lin, Wei
11 Lu, Jinhu
11 Rosenblum, Michael G.
11 Tél, Tamás
11 Timme, Marc
11 Tresser, Charles
11 Urías, Jesús
10 Banerjee, Tanmoy
10 Deng, Bin
10 Glass, Leon
10 Kantz, Holger
10 Mezić, Igor
10 Parlitz, Ulrich
10 Pecora, Louis M.
10 Porfiri, Maurizio
10 Prasad, Awadhesh
10 Romance, Miguel
10 Wang, Xingyuan
10 Yanchuk, Sergiĭ Volodymyrovych
9 Ashwin, Peter
9 Dettmann, Carl P.
9 Dudkowski, Dawid
9 Fortuna, Luigi
9 Frasca, Mattia
9 Fu, Xinchu
9 Grimshaw, Roger Hamilton James
9 Li, Yuxia
9 Liao, Xiaofeng
9 Naimzada, Ahmad K.
9 Nakao, Hiroya
9 Nijmeijer, Henk
9 Porter, Mason Alexander
9 Schwartz, Ira Bruce
9 Shang, Pengjian
9 Sprott, Julien Clinton
9 Strogatz, Steven Henry
9 Viana, Ricardo Luiz
9 Yuan, Fang
9 Yudovich, Viktor Iosifovich
8 Aguirre, Luis Antonio
8 Amigó, José María
8 Belykh, Igor V.
8 Blakely, Jonathan N.
8 Buldú, Javier M.
8 Criado, Regino
8 Donner, Reik V.
8 Eleonskij, V. M.
8 Gaspard, Pierre
8 Gauthier, Daniel J.
8 Kiss, István Z.
8 Leonel, Edson Denner
8 Li, Changpin
8 Maistrenko, Yuri L.
8 Parmananda, Punit
...and 6,065 more Authors
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Fields

1,772 Dynamical systems and ergodic theory (37-XX)
1,049 Ordinary differential equations (34-XX)
670 Biology and other natural sciences (92-XX)
282 Partial differential equations (35-XX)
272 Systems theory; control (93-XX)
216 Fluid mechanics (76-XX)
203 Statistical mechanics, structure of matter (82-XX)
183 Mechanics of particles and systems (70-XX)
162 Information and communication theory, circuits (94-XX)
141 Probability theory and stochastic processes (60-XX)
139 Combinatorics (05-XX)
129 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
111 Statistics (62-XX)
97 Quantum theory (81-XX)
80 Computer science (68-XX)
72 Numerical analysis (65-XX)
67 Optics, electromagnetic theory (78-XX)
54 Operations research, mathematical programming (90-XX)
47 Geophysics (86-XX)
45 Mechanics of deformable solids (74-XX)
38 Real functions (26-XX)
35 Measure and integration (28-XX)
33 Difference and functional equations (39-XX)
29 Classical thermodynamics, heat transfer (80-XX)
12 General and overarching topics; collections (00-XX)
9 Number theory (11-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
8 History and biography (01-XX)
8 Differential geometry (53-XX)
8 Relativity and gravitational theory (83-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Astronomy and astrophysics (85-XX)
6 Operator theory (47-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
2 Mathematical logic and foundations (03-XX)
2 Functions of a complex variable (30-XX)
2 Special functions (33-XX)
2 Integral equations (45-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Integral transforms, operational calculus (44-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

2,649 Publications have been cited 18,350 times in 11,749 Documents Cited by Year
Fractional kinetic equations: Solutions and applications. Zbl 0933.37029
Saichev, Alexander I.; Zaslavsky, George M.
222
1997
Fundamentals of synchronization in chaotic systems, concepts, and applications. Zbl 0933.37030
Pecora, Louis M.; Carroll, Thomas L.; Johnson, Gregg A.; Mar, Douglas J.; Heagy, James F.
160
1997
Low dimensional behavior of large systems of globally coupled oscillators. Zbl 1309.34058
Ott, Edward; Antonsen, Thomas M.
152
2008
Practical implementation of nonlinear time series methods: The TISEAN package. Zbl 0990.37522
Hegger, Rainer; Kantz, Holger; Schreiber, Thomas
127
1999
From diffusion to anomalous diffusion: a century after Einstein’s Brownian motion. Zbl 1080.82022
Sokolov, I. M.; Klafter, J.
116
2005
Adaptive synchronization of neural networks with or without time-varying delay. Zbl 1144.37331
Cao, Jinde; Lu, Jianquan
114
2006
Pinning synchronization of delayed dynamical networks via periodically intermittent control. Zbl 1311.93061
Xia, Weiguo; Cao, Jinde
102
2009
Long time evolution of phase oscillator systems. Zbl 1309.34059
Ott, Edward; Antonsen, Thomas M.
90
2009
Fractional differentiability of nowhere differentiable functions and dimensions. Zbl 1055.26504
Kolwankar, Kiran M.; Gangal, Anil D.
87
1996
Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation. Zbl 1069.92503
Fenton, Flavio; Karma, Alain
85
1998
Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics. Zbl 0987.70010
Koon, Wang Sang; Lo, Martin W.; Marsden, Jerrold E.; Ross, Shane D.
80
2000
Finding finite-time invariant manifolds in two-dimensional velocity fields. Zbl 0979.37012
Haller, G.
78
2000
Applied koopmanism. Zbl 1319.37013
Budišić, Marko; Mohr, Ryan; Mezić, Igor
77
2012
Generalized outer synchronization between complex dynamical networks. Zbl 1311.34119
Wu, Xiaoqun; Zheng, Wei Xing; Zhou, Jin
70
2009
Anticontrol of chaos in continuous-time systems via time-delay feedback. Zbl 0967.93045
Wang, Xiao Fan; Chen, Guanrong; Yu, Xinghuo
69
2000
Fractals and quantum mechanics. Zbl 1071.81513
Laskin, Nick
67
2000
Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media. Zbl 1031.76502
Winfree, Arthur T.
65
1992
Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) systems with fully unknown parameters. Zbl 1144.37378
Lu, Jianquan; Cao, Jinde
62
2005
Overview of coupled map lattices. Zbl 1055.37540
Kaneko, Kunihiko
61
1992
Dynamic analysis of the fractional-order Liu system and its synchronization. Zbl 1163.37382
Wang, Xing-Yuan; Wang, Ming-Jun
58
2007
Transport in time-dependent dynamical systems: finite-time coherent sets. Zbl 1311.37008
Froyland, Gary; Santitissadeekorn, Naratip; Monahan, Adam
57
2010
The size of the sync basin. Zbl 1144.37417
Wiley, Daniel A.; Strogatz, Steven H.; Girvan, Michelle
55
2006
Classical solutions and pattern formation for a volume filling chemotaxis model. Zbl 1163.37383
Wang, Zhian; Hillen, Thomas
55
2007
Multistationarity, the basis of cell differentiation and memory. I: Structural conditions of multistationarity and other nontrivial behavior. Zbl 0997.92011
Thomas, R.; Kaufman, M.
51
2001
Persistent clusters in lattices of coupled nonidentical chaotic systems. Zbl 1080.37525
Belykh, I.; Belykh, V.; Nevidin, K.; Hasler, M.
51
2003
A new method to realize cluster synchronization in connected chaotic networks. Zbl 1146.37330
Ma, Zhongjun; Liu, Zengrong; Zhang, Gang
51
2006
The impact of awareness on epidemic spreading in networks. Zbl 1331.92154
Wu, Qingchu; Fu, Xinchu; Small, Michael; Xu, Xin-Jian
51
2012
A unifying definition of synchronization for dynamical systems. Zbl 0973.34041
Brown, Reggie; Kocarev, Ljupčo
50
2000
Pinning control of fractional-order weighted complex networks. Zbl 1311.34018
Tang, Yang; Wang, Zidong; Fang, Jian-an
50
2009
Homoclinic snaking: Structure and stability. Zbl 1163.37317
Burke, John; Knobloch, Edgar
50
2007
Self-similarity, renormalization, and phase space nonuniformity of Hamiltonian chaotic dynamics. Zbl 0933.37024
Zaslavsky, G. M.; Edelman, M.; Niyazov, B. A.
49
1997
Cluster synchronization in networks of coupled nonidentical dynamical systems. Zbl 1311.34117
Lu, Wenlian; Liu, Bo; Chen, Tianping
49
2010
Multistationarity, the basis of cell differentiation and memory. II: Logical analysis of regulatory networks in terms of feedback circuits. Zbl 0997.92012
Thomas, R.; Kaufman, M.
48
2001
Regularities unseen, randomness observed: levels of entropy convergence. Zbl 1080.94006
Crutchfield, James P.; Feldman, David P.
48
2003
Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action. Zbl 1311.34082
Marvel, Seth A.; Mirollo, Renato E.; Strogatz, Steven H.
48
2009
On exact traveling-wave solutions for local fractional Korteweg-de Vries equation. Zbl 1378.35329
Yang, Xiao-Jun; Tenreiro Machado, J. A.; Baleanu, Dumitru; Cattani, Carlo
48
2016
Spatial dynamics in a predator-prey model with herd behavior. Zbl 1323.92197
Yuan, Sanling; Xu, Chaoqun; Zhang, Tonghua
48
2013
Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits. Zbl 1055.37578
Gonchenko, S. V.; Shil’nikov, L. P.; Turaev, D. V.
47
1996
The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples. Zbl 0933.37020
Pesin, Yakov; Weiss, Howard
47
1997
Cluster synchronization in community networks with nonidentical nodes. Zbl 1309.34107
Wang, Kaihua; Fu, Xinchu; Li, Kezan
46
2009
Fractional dynamics of coupled oscillators with long-range interaction. Zbl 1152.37345
Tarasov, Vasily E.; Zaslavsky, George M.
45
2006
Periodicity, chaos, and multiple attractors in a memristor-based Shinriki’s circuit. Zbl 1374.94910
Kengne, J.; Njitacke Tabekoueng, Z.; Kamdoum Tamba, V.; Nguomkam Negou, A.
45
2015
Outer synchronization of coupled discrete-time networks. Zbl 1311.34115
Li, Changpin; Xu, Congxiang; Sun, Weigang; Xu, Jian; Kurths, Jürgen
44
2009
On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity. Zbl 0933.37002
Barreira, Luis; Pesin, Yakov; Schmeling, Jörg
43
1997
A chaotic circuit based on Hewlett-Packard memristor. Zbl 1331.34074
Buscarino, Arturo; Fortuna, Luigi; Frasca, Mattia; Valentina Gambuzza, Lucia
42
2012
Exponential stabilization of chaotic systems with delay by periodically intermittent control. Zbl 1159.93353
Li, Chuandong; Liao, Xiaofeng; Huang, Tingwen
42
2007
Synchronization of complex dynamical networks via impulsive control. Zbl 1163.37389
Zhang, Gang; Liu, Zengrong; Ma, Zhongjun
42
2007
Synchronization of complex networks through local adaptive coupling. Zbl 1309.34090
De Lellis, Pietro; di Bernardo, Mario; Garofalo, Franco
40
2008
A speculative study of 2/3-order fractional Laplacian modeling of turbulence: Some thoughts and conjectures. Zbl 1146.37312
Chen, Wen
40
2006
Synchronization of chaotic systems with delay using intermittent linear state feedback. Zbl 1309.34096
Huang, Tingwen; Li, Chuandong; Liu, Xinzhi
39
2008
Combination synchronization of three classic chaotic systems using active backstepping design. Zbl 1317.93114
Runzi, Luo; Yinglan, Wang; Shucheng, Deng
39
2011
Characterizing strange nonchaotic attractors. Zbl 1055.37519
Pikovsky, Arkady S.; Feudel, Ulrike
38
1995
A method for visualization of invariant sets of dynamical systems based on the ergodic partition. Zbl 0987.37080
Mezić, Igor; Wiggins, Stephen
38
1999
Impulsive stabilization and synchronization of a class of chaotic delay systems. Zbl 1144.37371
Li, Chuandong; Liao, Xiaofeng; Yang, Xiaofan; Huang, Tingwen
38
2005
Dynamical phases of the Hindmarsh-Rose neuronal model: Studies of the transition from bursting to spiking chaos. Zbl 1163.37336
Innocenti, Giacomo; Morelli, Alice; Genesio, Roberto; Torcini, Alessandro
38
2007
Compound synchronization of four memristor chaotic oscillator systems and secure communication. Zbl 1319.34093
Sun, Junwei; Shen, Yi; Yin, Quan; Xu, Chengjie
38
2013
Border collision route to quasiperiodicity: Numerical investigation and experimental confirmation. Zbl 1146.37343
Zhusubaliyev, Zhanybai T.; Mosekilde, Erik; Maity, Somnath; Mohanan, Srijith; Banerjee, Soumitro
37
2006
Julia sets for the super-Newton method, Cauchy’s method, and Halley’s method. Zbl 1080.65532
Kneisl, Kyle
36
2001
Computing Lagrangian coherent structures from their variational theory. Zbl 1331.37128
Farazmand, Mohammad; Haller, George
36
2012
Impulsive synchronization of chaotic systems. Zbl 1080.37034
Li, Chuandong; Liao, Xiaofeng; Zhang, Xingyou
35
2005
Q-S (lag or anticipated) synchronization backstepping scheme in a class of continuous-time hyperchaotic systems – a symbolic-numeric computation approach. Zbl 1080.93008
Yan, Zhenya
35
2005
Chimera states in heterogeneous networks. Zbl 1311.34080
Laing, Carlo R.
35
2009
Resolution of a shock in hyperbolic systems modified by weak dispersion. Zbl 1144.37341
El, G. A.
35
2005
Dynamics of globally coupled oscillators: progress and perspectives. Zbl 1374.34001
Pikovsky, Arkady; Rosenblum, Michael
35
2015
Hidden hyperchaos and electronic circuit application in a 5D self-exciting homopolar disc dynamo. Zbl 1390.34159
Wei, Zhouchao; Moroz, Irene; Sprott, J. C.; Akgul, Akif; Zhang, Wei
35
2017
Multistability and the control of complexity. Zbl 0933.37032
Feudel, Ulrike; Grebogi, Celso
34
1997
Mushrooms and other billiards with divided phase space. Zbl 1080.37582
Bunimovich, Leonid A.
34
2001
Mixed outer synchronization of coupled complex networks with time-varying coupling delay. Zbl 1345.34102
Wang, Jun-Wei; Ma, Qinghua; Zeng, Li; Abd-Elouahab, Mohammed Salah
34
2011
Using machine learning to replicate chaotic attractors and calculate Lyapunov exponents from data. Zbl 1390.37138
Pathak, Jaideep; Lu, Zhixin; Hunt, Brian R.; Girvan, Michelle; Ott, Edward
34
2017
Food chain chaos due to Shilnikov’s orbit. Zbl 1080.92518
Deng, Bo; Hines, Gwendolen
33
2002
The iteration-approximation decoupling in the reversible KAM theory. Zbl 1055.37576
Sevryuk, M. B.
32
1995
Manipulating the scaling factor of projective synchronization in three-dimensional chaotic systems. Zbl 0996.37075
Xu, Daolin; Li, Zhigang; Bishop, Steven R.
32
2001
An approach to chaotic synchronization. Zbl 1080.37029
Dramov, Alexander E.; Koronovskii, Alexey A.
32
2004
The Fermi-Pasta-Ulam problem: fifty years of progress. Zbl 1080.37077
Berman, G. P.; Izrailev, F. M.
32
2005
Mixed-mode oscillations in a three time-scale model for the dopaminergic neuron. Zbl 1306.34057
Krupa, Martin; Popović, Nikola; Kopell, Nancy; Rotstein, Horacio G.
32
2008
Stability diagram for the forced Kuramoto model. Zbl 1309.34088
Childs, Lauren M.; Strogatz, Steven H.
32
2008
Extreme multistability: attractor manipulation and robustness. Zbl 1374.34219
Hens, Chittaranjan; Dana, Syamal K.; Feudel, Ulrike
32
2015
A numerical method for the solution of the bidomain equations in cardiac tissue. Zbl 1069.92507
Keener, J. P.; Bogar, K.
31
1998
Exponential lag synchronization for neural networks with mixed delays via periodically intermittent control. Zbl 1311.92017
Hu, Cheng; Yu, Juan; Jiang, Haijun; Teng, Zhidong
31
2010
Localized patterns in reaction-diffusion systems. Zbl 1163.37381
Vanag, Vladimir K.; Epstein, Irving R.
31
2007
Food chain chaos due to junction-fold point. Zbl 0993.92034
Deng, Bo
30
2001
Bifurcation analysis and existence of periodic solutions in a simple neural network with delays. Zbl 1080.34064
Wei, J. J.; Velarde, M. G.
30
2004
Spectral properties of Chimera states. Zbl 1345.34067
Wolfrum, M.; Omel’chenko, O. E.; Yanchuk, S.; Maistrenko, Y. L.
30
2011
On noise reduction methods for chaotic data. Zbl 1055.37585
Grassberger, Peter; Hegger, Rainer; Kantz, Holger; Schaffrath, Carsten; Schreiber, Thomas
29
1993
Combinatorial explosion in model gene networks. Zbl 1033.92014
Edwards, R.; Glass, L.
29
2000
Weak mixing and anomalous kinetics along filamented surfaces. Zbl 1080.37584
Zaslavsky, G. M.; Edelman, M.
29
2001
Weak chimeras in minimal networks of coupled phase oscillators. Zbl 1345.34052
Ashwin, Peter; Burylko, Oleksandr
29
2015
Fully synchronous solutions and the synchronization phase transition for the finite-\(N\) Kuramoto model. Zbl 1319.34053
Bronski, Jared C.; DeVille, Lee; Jip Park, Moon
29
2012
Two-dimensional global manifolds of vector fields. Zbl 0983.37110
Krauskopf, Bernd; Osinga, Hinke
28
1999
On the origin of reproducible sequential activity in neural circuits. Zbl 1080.37100
Afraimovich, V. S.; Zhigulin, V. P.; Rabinovich, M. I.
28
2004
Estimation of dynamical invariants without embedding by recurrence plots. Zbl 1080.37091
Thiel, M.; Romano, M. C.; Read, P. L.; Kurths, J.
27
2004
Multiscroll attractors by switching systems. Zbl 1311.93045
Campos-Cantón, E.; Barajas-Ramírez, J. G.; Solís-Perales, G.; Femat, R.
27
2010
Lagrangian coherent structures and the smallest finite-time Lyapunov exponent. Zbl 1317.37106
Haller, George; Sapsis, Themistoklis
27
2011
Synchronization in asymmetrically coupled networks with node balance. Zbl 1144.37318
Belykh, Igor; Belykh, Vladimir; Hasler, Martin
27
2006
Striped pattern selection by advective reaction-diffusion systems: resilience of banded vegetation on slopes. Zbl 1374.92167
Siero, E.; Doelman, A.; Eppinga, M. B.; Rademacher, J. D. M.; Rietkerk, M.; Siteur, K.
27
2015
A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data. Zbl 1374.37114
Froyland, Gary; Padberg-Gehle, Kathrin
27
2015
Synchronization of chaotic systems. Zbl 1374.34002
Pecora, Louis M.; Carroll, Thomas L.
27
2015
A neural network model as a globally coupled map and applications based on chaos. Zbl 1055.92501
Nozawa, Hiroshi
26
1992
Average exit time for volume-preserving maps. Zbl 0933.37022
Meiss, J. D.
26
1997
Identifying parameter by identical synchronization between different systems. Zbl 1080.37092
Huang, Debin; Guo, Rongwei
26
2004
Shilnikov attractors in three-dimensional orientation-reversing maps. Zbl 1458.34090
Karatetskaia, Efrosiniia; Shykhmamedov, Aikan; Kazakov, Alexey
3
2021
On discrete Lorenz-like attractors. Zbl 1465.37047
Gonchenko, Sergey; Gonchenko, Alexander; Kazakov, Alexey; Samylina, Evgeniya
2
2021
Topological characterization of toroidal chaos: a branched manifold for the Deng toroidal attractor. Zbl 1458.37052
Mangiarotti, Sylvain; Letellier, Christophe
2
2021
Synchronization of wave structures in a heterogeneous multiplex network of 2D lattices with attractive and repulsive intra-layer coupling. Zbl 1458.34093
Shepelev, I. A.; Muni, S. S.; Vadivasova, T. E.
1
2021
Multi-scroll hidden attractor in memristive HR neuron model under electromagnetic radiation and its applications. Zbl 1458.34095
Zhang, Sen; Zheng, Jiahao; Wang, Xiaoping; Zeng, Zhigang
1
2021
Mitigating long transient time in deterministic systems by resetting. Zbl 1466.37060
Ray, Arnob; Pal, Arnab; Ghosh, Dibakar; Dana, Syamal K.; Hens, Chittaranjan
1
2021
A SIRD epidemic model with community structure. Zbl 1458.92081
Yang, Jin-Xuan
1
2021
Dynamics of the price-volume information flow based on surrogate time series. Zbl 1458.91167
Nie, Chun-Xiao
1
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On explaining the surprising success of reservoir computing forecaster of chaos? The universal machine learning dynamical system with contrast to VAR and DMD. Zbl 07338235
Bollt, Erik
1
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Chaos in the peroxidase-oxidase oscillator. Zbl 1458.92029
Olsen, Lars F.; Lunding, Anita
1
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Multifunctionality in a reservoir computer. Zbl 1458.92006
Flynn, Andrew; Tsachouridis, Vassilios A.; Amann, Andreas
1
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Fractional calculus with exponential memory. Zbl 1459.26010
Fu, Hui; Wu, Guo-Cheng; Yang, Guang; Huang, Lan-Lan
1
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Emergence and synchronization of a reversible core in a system of forced adaptively coupled Kuramoto oscillators. Zbl 1459.34117
Emelianova, Anastasiia A.; Nekorkin, Vladimir I.
1
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Reservoir computing with swarms. Zbl 1459.37072
Lymburn, Thomas; Algar, Shannon D.; Small, Michael; Jüngling, Thomas
1
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Synchronization and locking in oscillators with flexible periods. Zbl 1460.92037
Savinov, Mariya; Swigon, David; Ermentrout, Bard
1
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Nonlinear dynamical behavior of an SEIR mathematical model: effect of information and saturated treatment. Zbl 1460.92191
Das, Tanuja; Srivastava, Prashant K.; Kumar, Anuj
1
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A 2D hyperchaotic map with conditional symmetry and attractor growth. Zbl 07350353
Kong, Sixiao; Li, Chunbiao; Jiang, Haibo; Lai, Qiang; Jiang, Xiaowei
1
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Some elements for a history of the dynamical systems theory. Zbl 1462.37002
Letellier, Christophe; Abraham, Ralph; Shepelyansky, Dima L.; Rössler, Otto E.; Holmes, Philip; Lozi, René; Glass, Leon; Pikovsky, Arkady; Olsen, Lars F.; Tsuda, Ichiro; Grebogi, Celso; Parlitz, Ulrich; Gilmore, Robert; Pecora, Louis M.; Carroll, Thomas L.
1
2021
Rethinking the definition of rate-induced tipping. Zbl 07359925
Hoyer-Leitzel, Alanna; Nadeau, Alice N.
1
2021
Discriminating Gaussian processes via quadratic form statistics. Zbl 07372069
Balcerek, Michał; Burnecki, Krzysztof; Sikora, Grzegorz; Wyłomańska, Agnieszka
1
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Parity-time-symmetric rational vector rogue waves of the \(n\)-component nonlinear Schrödinger equation. Zbl 1465.35365
Zhang, Guoqiang; Ling, Liming; Yan, Zhenya; Konotop, Vladimir V.
1
2021
Scenarios of hyperchaos occurrence in 4D Rössler system. Zbl 1451.34056
Stankevich, N.; Kazakov, A.; Gonchenko, S.
8
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Forecasting the daily and cumulative number of cases for the COVID-19 pandemic in India. Zbl 1445.92152
Khajanchi, Subhas; Sarkar, Kankan
7
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Merger of a Hénon-like attractor with a Hénon-like repeller in a model of vortex dynamics. Zbl 1447.37050
Kazakov, Alexey
6
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The maximum likelihood climate change for global warming under the influence of greenhouse effect and Lévy noise. Zbl 1431.86011
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5
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Relay and complete synchronization in heterogeneous multiplex networks of chaotic maps. Zbl 1440.39002
Rybalova, E.; Strelkova, G.; Schöll, E.; Anishchenko, V.
5
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Path length statistics in reservoir computers. Zbl 07269094
Carroll, T. L.
5
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Homoclinic chaos in the Rössler model. Zbl 1451.34060
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5
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A new oscillator with mega-stability and its Hamilton energy: infinite coexisting hidden and self-excited attractors. Zbl 1435.34041
Leutcho, Gervais Dolvis; Khalaf, Abdul Jalil M.; Njitacke Tabekoueng, Zeric; Fozin, Theophile Fonzin; Kengne, Jacques; Jafari, Sajad; Hussain, Iqtadar
5
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A simple locally active memristor and its application in HR neurons. Zbl 1437.94108
Tan, Yumei; Wang, Chunhua
5
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A data-driven phase and isostable reduced modeling framework for oscillatory dynamical systems. Zbl 1433.37077
Wilson, Dan
4
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Coexistence of firing patterns and its control in two neurons coupled through an asymmetric electrical synapse. Zbl 1432.92024
Tabekoueng Njitacke, Z.; Sami Doubla, Isaac; Kengne, J.; Cheukem, A.
4
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Quadratic response of random and deterministic dynamical systems. Zbl 1434.37032
Galatolo, Stefano; Sedro, Julien
4
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The third type of chaos in a system of two adaptively coupled phase oscillators. Zbl 1437.34042
Emelianova, Anastasiia A.; Nekorkin, Vladimir I.
4
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A simple no-equilibrium chaotic system with only one signum function for generating multidirectional variable hidden attractors and its hardware implementation. Zbl 1437.34064
Zhang, Sen; Wang, Xiaoping; Zeng, Zhigang
4
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Solving Fokker-Planck equation using deep learning. Zbl 1431.35210
Xu, Yong; Zhang, Hao; Li, Yongge; Zhou, Kuang; Liu, Qi; Kurths, Jürgen
3
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Do reservoir computers work best at the edge of chaos? Zbl 07291817
Carroll, T. L.
3
2020
Kantorovich-Rubinstein-Wasserstein distance between overlapping attractor and repeller. Zbl 1455.37040
Chigarev, Vladimir; Kazakov, Alexey; Pikovsky, Arkady
3
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Dense networks that do not synchronize and sparse ones that do. Zbl 1445.34061
Townsend, Alex; Stillman, Michael; Strogatz, Steven H.
3
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Control of inter-layer synchronization by multiplexing noise. Zbl 1458.93240
Vadivasova, T. E.; Slepnev, A. V.; Zakharova, A.
3
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Initial-switched boosting bifurcations in 2D hyperchaotic map. Zbl 1445.37028
Bao, B. C.; Li, H. Z.; Zhu, L.; Zhang, X.; Chen, M.
3
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Representation of solutions for Sturm-Liouville eigenvalue problems with generalized fractional derivative. Zbl 1435.34031
Ozarslan, Ramazan; Bas, Erdal; Baleanu, Dumitru
3
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Transient Chimera-like states for forced oscillators. Zbl 1431.34063
Dudkowski, Dawid; Wojewoda, Jerzy; Czołczyński, Krzysztof; Kapitaniak, Tomasz
2
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Dimension of reservoir computers. Zbl 1432.68010
Carroll, T. L.
2
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A memristive conservative chaotic circuit consisting of a memristor and a capacitor. Zbl 1431.94211
Deng, Yue; Li, Yuxia
2
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Robust partial synchronization of delay-coupled networks. Zbl 1431.34069
Su, Libo; Wei, Yanling; Michiels, Wim; Steur, Erik; Nijmeijer, Henk
2
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An ensemble of random graphs with identical degree distribution. Zbl 1434.05134
Ma, Fei; Wang, Xiaomin; Wang, Ping
2
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Cross-diffusion-induced patterns in an SIR epidemic model on complex networks. Zbl 1431.92113
Chang, Lili; Duan, Moran; Sun, Guiquan; Jin, Zhen
2
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Additional repulsion reduces the dynamical resilience in the damaged networks. Zbl 1432.34062
Bera, Bidesh K.
2
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Multifractal temporally weighted detrended cross-correlation analysis of multivariate time series. Zbl 1435.62330
Jiang, Shan; Li, Bao-Gen; Yu, Zu-Guo; Wang, Fang; Anh, Vo; Zhou, Yu
2
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Deciphering chaos in evolutionary games. Zbl 1451.91020
Mukhopadhyay, Archan; Chakraborty, Sagar
2
2020
Breaking symmetries of the reservoir equations in echo state networks. Zbl 1451.37109
Herteux, Joschka; Räth, Christoph
2
2020
Effect of memory, intolerance, and second-order reputation on cooperation. Zbl 1448.91018
Xia, Chengyi; Gracia-Lázaro, Carlos; Moreno, Yamir
2
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Spreading of two interacting diseases in multiplex networks. Zbl 1445.92285
Wu, Qingchu; Chen, Shufang
2
2020
On the structure of time-delay embedding in linear models of non-linear dynamical systems. Zbl 1453.37089
Pan, Shaowu; Duraisamy, Karthik
2
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Chimera-like behavior in a heterogeneous Kuramoto model: the interplay between attractive and repulsive coupling. Zbl 1445.34072
Frolov, Nikita; Maksimenko, Vladimir; Majhi, Soumen; Rakshit, Sarbendu; Ghosh, Dibakar; Hramov, Alexander
2
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Predictive modeling of disease propagation in a mobile, connected community using cellular automata. Zbl 1445.92003
Tiwari, Ishant; Sarin, Pradeep; Parmananda, P.
2
2020
Basin of attraction for Chimera states in a network of Rössler oscillators. Zbl 1445.34057
dos Santos, Vagner; Borges, Fernando S.; Iarosz, Kelly C.; Caldas, Iberê L.; Szezech, J. D.; Viana, Ricardo L.; Baptista, Murilo S.; Batista, Antonio M.
2
2020
An averaging principle for fractional stochastic differential equations with Lévy noise. Zbl 1445.35313
Xu, Wenjing; Duan, Jinqiao; Xu, Wei
2
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Modified multiscale fuzzy entropy: a robust method for short-term physiologic signals. Zbl 1445.92147
Borin, Airton Monte Serrat jun.; Silva, Luiz Eduardo Virgilio; Murta, Luiz Otavio jun.
2
2020
Model reduction for the collective dynamics of globally coupled oscillators: from finite networks to the thermodynamic limit. Zbl 1451.34042
Smith, Lachlan D.; Gottwald, Georg A.
2
2020
Stochastic effects on the dynamics of an epidemic due to population subdivision. Zbl 1451.92277
Bittihn, Philip; Golestanian, Ramin
2
2020
Assessing observability of chaotic systems using delay differential analysis. Zbl 1456.37090
Gonzalez, Christopher E.; Lainscsek, Claudia; Sejnowski, Terrence J.; Letellier, Christophe
2
2020
Chimera states in coupled map lattices: spatiotemporally intermittent behavior and an equivalent cellular automaton. Zbl 1451.37021
Singha, Joydeep; Gupte, Neelima
2
2020
High-dimensional nonlinear wave transitions and their mechanisms. Zbl 1454.35048
Zhang, Xue; Wang, Lei; Liu, Chong; Li, Min; Zhao, Yin-Chuan
2
2020
Berry phases in the reconstructed KdV equation. Zbl 1451.35171
Oblak, Blagoje; Kozyreff, Gregory
2
2020
Amplification of explosive width in complex networks. Zbl 1435.34040
Khanra, Pitambar; Kundu, Prosenjit; Pal, Pinaki; Ji, Peng; Hens, Chittaranjan
2
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Aperiodically intermittent control for exponential bipartite synchronization of delayed signed networks with multi-links. Zbl 1447.93302
Wang, Mengxin; Zheng, Rulin; Feng, Jiqiang; Qin, Sitian; Li, Wenxue
2
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Static and dynamic attractive-repulsive interactions in two coupled nonlinear oscillators. Zbl 1435.34049
Dixit, Shiva; Shrimali, Manish Dev
2
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Reinforcement learning for suppression of collective activity in oscillatory ensembles. Zbl 1435.92005
Krylov, Dmitrii; Dylov, Dmitry V.; Rosenblum, Michael
2
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Amplitude Chimera and Chimera death induced by external agents in two-layer networks. Zbl 1437.34047
Verma, Umesh Kumar; Ambika, G.
2
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A novel memristor-based dynamical system with multi-wing attractors and symmetric periodic bursting. Zbl 1466.94073
Chang, Hui; Li, Yuxia; Chen, Guanrong
2
2020
Self-reproducing chaos and bursting oscillation analysis in a meminductor-based conservative system. Zbl 1447.37089
Yuan, Fang; Jin, Yuan; Li, Yuxia
2
2020
Bifurcations of front motion in passive and active Allen-Cahn-type equations. Zbl 1445.35039
Stegemerten, Fenna; Gurevich, Svetlana V.; Thiele, Uwe
2
2020
Dynamical analysis of a mean-field vector-borne diseases model on complex networks: an edge based compartmental approach. Zbl 1431.92144
Wang, Xiaoyan; Yang, Junyuan
1
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How entropic regression beats the outliers problem in nonlinear system identification. Zbl 1433.93032
AlMomani, Abd AlRahman R.; Sun, Jie; Bollt, Erik
1
2020
Using machine learning to predict extreme events in the Hénon map. Zbl 1434.68419
Lellep, Martin; Prexl, Jonathan; Linkmann, Moritz; Eckhardt, Bruno
1
2020
Numerical analysis of the Hirota equation: modulational instability, breathers, rogue waves, and interactions. Zbl 1435.35369
Wang, Li; Yan, Zhenya; Guo, Boling
1
2020
Conditions for stable equilibrium in Cournot duopoly models with tax evasion and time delay. Zbl 1431.91223
Villafuerte-Segura, Raúl; Alvarado-Santos, Eduardo; Itzá-Ortiz, Benjamín A.
1
2020
Mitigation of tipping point transitions by time-delay feedback control. Zbl 1431.93057
Farazmand, Mohammad
1
2020
Nonlinear correlations in multifractals: visibility graphs of magnitude and sign series. Zbl 1431.62401
Manshour, Pouya
1
2020
Supervised chaotic source separation by a tank of water. Zbl 1432.94031
Lu, Zhixin; Kim, Jason Z.; Bassett, Danielle S.
1
2020
Photon waiting-time distributions: a keyhole into dissipative quantum chaos. Zbl 1432.81037
Yusipov, I. I.; Vershinina, O. S.; Denisov, S. V.; Ivanchenko, M. V.
1
2020
Effect of parametric excitation on a bifractional-order damped system with a fractional-power nonlinearity. Zbl 1432.34016
Yan, Zhi; Liu, Xianbin
1
2020
Improving on transfer entropy-based network reconstruction using time-delays: approach and validation. Zbl 1432.37108
Sipahi, Rifat; Porfiri, Maurizio
1
2020
Nonisotropic chaotic vibrations of a 2D hyperbolic PDE. Zbl 1435.35224
Xiang, Qiaomin; Yang, Qigui
1
2020
Message-passing theory for cooperative epidemics. Zbl 1432.92095
Min, Byungjoon; Castellano, Claudio
1
2020
Phase and amplitude dynamics of coupled oscillator systems on complex networks. Zbl 1451.34044
Woo, Jae Hyung; Honey, Christopher J.; Moon, Joon-Young
1
2020
Fractional \(q\)-deformed chaotic maps: a weight function approach. Zbl 1455.39002
Wu, Guo-Cheng; Niyazi Çankaya, Mehmet; Banerjee, Santo
1
2020
Rössler-network with time delay: univariate impulse pinning synchronization. Zbl 1451.34043
Tian, Kun; Ren, Hai-Peng; Grebogi, Celso
1
2020
Falling off a limit cycle using phase-agnostic stimuli: definitions and conceptual framework. Zbl 1451.92034
Chang, Joshua; Sridhar, Varun; Paydarfar, David
1
2020
A novel four-step feedback procedure for rapid control of chaotic behavior of the logistic map and unstable traffic on the road. Zbl 1458.37082
Kumari, S.; Chugh, R.
1
2020
Multivariate group entropies, super-exponentially growing complex systems, and functional equations. Zbl 1458.94179
Tempesta, Piergiulio
1
2020
Predicting critical transitions in multiscale dynamical systems using reservoir computing. Zbl 1457.37099
Lim, Soon Hoe; Theo Giorgini, Ludovico; Moon, Woosok; Wettlaufer, J. S.
1
2020
Noisy consensus dynamics in windmill-type graphs. Zbl 1455.93182
Sun, Weigang; Li, Yifan; Liu, Suyu
1
2020
Dynamics of multilayer networks with amplification. Zbl 1451.34063
Njougouo, Thierry; Camargo, Victor; Louodop, Patrick; Fagundes Ferreira, Fernando; Talla, Pierre K.; Cerdeira, Hilda A.
1
2020
Averaging principle for stochastic differential equations under a weak condition. Zbl 1451.60058
Guo, Zhongkai; Lv, Guangying; Wei, Jinlong
1
2020
Existence of homoclinic orbits and heteroclinic cycle in a class of three-dimensional piecewise linear systems with three switching manifolds. Zbl 1455.37023
Zhu, Bin; Wei, Zhouchao; Escalante-González, R. J.; Kuznetsov, Nikolay V.
1
2020
Bistability and hidden attractors in the paradigmatic Rössler’76 system. Zbl 1465.34020
Malasoma, Jean-Marc; Malasoma, Niels
1
2020
Contrasting chaotic with stochastic dynamics via ordinal transition networks. Zbl 1440.37079
Olivares, F.; Zanin, M.; Zunino, L.; Pérez, D. G.
1
2020
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103 Chen, Guanrong
92 Kurths, Jürgen
56 Băleanu, Dumitru I.
55 Wang, Xingyuan
50 Haller, George
39 Tarasov, Vasily E.
38 Crutchfield, James P.
36 Aihara, Kazuyuki
36 Xu, Wei
35 Ha, Seung-Yeal
34 Fang, Jian’an
34 Jiang, Haijun
33 Li, Wenxue
33 Sanjuán, Miguel A. F.
33 Zaslavskiĭ, Georgiĭ Moiseevich
32 Mezić, Igor
32 Small, Michael
31 Fu, Xinchu
31 Pham, Viet-Thanh
31 Ryashko, Lev Borisovich
31 Schöll, Eckehard
30 Bashkirtseva, Irina Adol’fovna
30 Grebogi, Celso
30 Kapitaniak, Tomasz
30 Li, Chuandong
30 Yan, Zhenya
29 Jafari, Sajad
29 Pikovsky, Arkady S.
28 Bollt, Erik M.
28 Liao, Xiaofeng
27 Lai, Yingcheng
27 Sprott, Julien Clinton
27 Zhao, Yi
25 Feng, Jianwen
25 Froyland, Gary
25 Hu, Cheng
25 Li, Changpin
25 Lu, Jinhu
25 Meiss, James D.
25 Yang, Xiaosong
24 Anishchenko, Vadim Semenovich
24 Ashwin, Peter
24 Caldas, Iberê L.
24 Ghosh, Dibakar
24 Liu, Zengrong
24 Lu, Junan
24 Osinga, Hinke Maria
24 Park, Juhyun (Jessie)
24 Sun, Zhongkui
23 Gardini, Laura
23 Huang, Tingwen
23 Letellier, Christophe
23 Rodríguez-Luis, Alejandro J.
23 Simpson, David John Warwick
23 Wang, Jiang
22 Algaba, Antonio
22 Campos-Cantón, Eric
22 Grimshaw, Roger Hamilton James
22 Liu, Xinzhi
22 Ott, Edward
21 Duan, Jinqiao
21 Kengne, Jacques
21 Kurakin, Leonid G.
21 Lu, Jianquan
21 Perc, Matjaž
21 Vaienti, Sandro
21 Wu, Xiaoqun
21 Wu, Zhaoyan
21 Yang, Xinsong
20 Bunimovich, Leonid Abramovich
20 Holden, Arun V.
20 Krauskopf, Bernd
20 Lakshmanan, Muthusamy
20 Macau, Elbert E. N.
20 Nekorkin, Vladimir I.
20 Tang, Yang
19 Belykh, Igor V.
19 Carroll, Thomas L.
19 Danca, Marius-Florin
19 Gottwald, Georg A.
19 Knobloch, Edgar
19 Kuznetsov, Nikolay Vladimirovich
19 Laing, Carlo R.
19 Li, Chunbiao
19 Li, Yuxia
19 Porter, Mason Alexander
19 Strelkova, Galina Ivanova
19 Su, Huan
19 Wang, Chunhua
19 Wei, Juncheng
19 Yu, Wenwu
19 Zotos, Euaggelos E.
18 Aguirre, Luis Antonio
18 Atangana, Abdon
18 de la Llave, Rafael
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18 Doungmo Goufo, Emile Franc
18 Glass, Leon
18 Gonchenko, Sergey V.
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