# zbMATH — the first resource for mathematics

## International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

 Short Title: Int. J. Bifurcation Chaos Appl. Sci. Eng. Publisher: World Scientific, Singapore ISSN: 0218-1274; 1793-6551/e Online: https://www.worldscientific.com/loi/ijbc
 Documents Indexed: 6,130 Publications (since 1991) References Indexed: 5,245 Publications with 138,666 References.
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#### Authors

 175 Chua, Leon Ong 165 Chen, Guanrong 85 Li, Jibin 68 Llibre, Jaume 55 Yu, Pei 50 Han, Maoan 48 Sprott, Julien Clinton 42 Jafari, Sajad 42 Kurths, Jürgen 39 Aihara, Kazuyuki 39 Mira, Christian 33 Gardini, Laura 33 Itoh, Makoto 31 Yang, Xiaosong 31 Zhang, Wei 30 Luo, Albert C. J. 28 Pham, Viet-Thanh 28 Sanjuán, Miguel A. F. 26 Kapitaniak, Tomasz 25 Fortuna, Luigi 25 Lakshmanan, Muthusamy 24 Grassi, Giuseppe 23 Grebogi, Celso 22 Wei, Junjie 21 Billings, Stephen A. 21 Feng, Zhaosheng 21 Freire Macías, Emilio 21 Mees, Alistair I. 21 Ponce, Enrique 20 Awrejcewicz, Jan 20 Frasca, Mattia 20 Holden, Arun V. 20 Lu, Jinhu 20 Stewart, Ian Nicholas 20 Tse, Chi Kong 19 Wiggins, Stephen 19 Yu, Simin 18 Adamatzky, Andrew I. 18 Danca, Marius-Florin 18 Moiola, Jorge Luis 18 Pérez-Muñuzuri, Vicente 18 Velarde, Manuel G. 18 Yang, Qigui 18 Zhou, Tianshou 17 Anishchenko, Vadim Semenovich 17 Balibrea, Francisco 17 Cao, Jinde 17 Chen, Fangyue 17 Liao, Xiaofeng 17 Parlitz, Ulrich 17 Xu, Wei 16 Bountis, Tassos C. 16 Kawakami, Hiroshi 16 Leonov, Gennadiĭ Alekseevich 16 Liu, Yirong 16 Min, Lequan 16 Pérez-Villar, Vicente 16 Rodríguez-Luis, Alejandro J. 15 Algaba, Antonio 15 Brown, Ray 15 Doedel, Eusebius J. 15 Fournier-Prunaret, Danièle 15 Guo, Shangjiang 15 Kim, Hyongsuk 15 Kocarev, Ljupco 15 Li, Changpin 15 Li, Chunbiao 15 Ma, Junhai 15 Mosekilde, Erik 15 Rinaldi, Sergio 15 Sbitnev, Valery I. 15 Ueta, Tetsushi 15 Wei, Zhouchao 15 Yang, Tao 15 Zhang, Tonghua 14 Avrutin, Viktor 14 Bashkirtseva, Irina Adol’fovna 14 Bi, Qinsheng 14 Bollt, Erik M. 14 Cafagna, Donato 14 Chen, Fengjuan 14 Kuznetsov, Nikolay Vladimirovich 14 Lai, Yingcheng 14 Liu, Zhong 14 Nekorkin, Vladimir I. 14 Ryashko, Lev Borisovich 14 Starkov, Konstantin E. 14 Wu, Xinxing 14 Xu, Jian 13 Bao, Bocheng 13 Barbé, André M. 13 Bilotta, Eleonora 13 Buscarino, Arturo 13 Chen, Goong 13 Hsu, Cheng-Hsiung 13 Krauskopf, Bernd 13 Maistrenko, Yuri L. 13 Nazarimehr, Fahimeh 13 Nijmeijer, Henk 13 Pantano, Pietro ...and 7,579 more Authors
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#### Fields

 3,245 Dynamical systems and ergodic theory (37-XX) 2,537 Ordinary differential equations (34-XX) 1,158 Biology and other natural sciences (92-XX) 734 Information and communication theory, circuits (94-XX) 587 Systems theory; control (93-XX) 505 Partial differential equations (35-XX) 441 Mechanics of particles and systems (70-XX) 292 Computer science (68-XX) 223 Numerical analysis (65-XX) 184 Fluid mechanics (76-XX) 172 Statistical mechanics, structure of matter (82-XX) 159 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 137 Difference and functional equations (39-XX) 117 Mechanics of deformable solids (74-XX) 104 Optics, electromagnetic theory (78-XX) 101 Statistics (62-XX) 78 Operations research, mathematical programming (90-XX) 71 Probability theory and stochastic processes (60-XX) 66 Measure and integration (28-XX) 54 Geophysics (86-XX) 45 Quantum theory (81-XX) 42 Global analysis, analysis on manifolds (58-XX) 38 Classical thermodynamics, heat transfer (80-XX) 36 Operator theory (47-XX) 35 General and overarching topics; collections (00-XX) 32 General topology (54-XX) 31 Combinatorics (05-XX) 29 Real functions (26-XX) 20 Functions of a complex variable (30-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 17 Number theory (11-XX) 16 Manifolds and cell complexes (57-XX) 13 Astronomy and astrophysics (85-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 9 History and biography (01-XX) 9 Approximations and expansions (41-XX) 9 Integral equations (45-XX) 9 Differential geometry (53-XX) 7 Mathematical logic and foundations (03-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Relativity and gravitational theory (83-XX) 6 Special functions (33-XX) 5 Nonassociative rings and algebras (17-XX) 5 Integral transforms, operational calculus (44-XX) 5 Convex and discrete geometry (52-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Topological groups, Lie groups (22-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Algebraic geometry (14-XX) 2 Algebraic topology (55-XX) 1 Commutative algebra (13-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

4,493 Publications have been cited 35,241 times in 17,596 Documents Cited by Year
Yet another chaotic attractor. Zbl 0962.37013
Chen, Guanrong; Ueta, Tetsushi
1999
A new chaotic attractor coined. Zbl 1063.34510
Lü, Jinhu; Chen, Guanrong
2002
Bridge the gap between the Lorenz system and the Chen system. Zbl 1043.37026
Lü, Jinhu; Chen, Guanrong; Cheng, Daizhan; Celikovsky, Sergej
2002
Hilbert’s 16th problem and bifurcations of planar polynomial vector fields. Zbl 1063.34026
Li, Jibin
2003
Neural excitability, spiking and bursting. Zbl 1090.92505
Izhikevich, Eugene M.
2000
Hidden attractors in dynamical systems. from hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman problems to hidden chaotic attractor in Chua circuits. Zbl 1270.34003
Leonov, G. A.; Kuznetsov, N. V.
2013
One-parameter bifurcations in planar Filippov systems. Zbl 1079.34029
Kuznetsov, Yu. A.; Rinaldi, S.; Gragnani, A.
2003
Model reduction for fluids, using balanced proper orthogonal decomposition. Zbl 1140.76443
Rowley, C. W.
2005
Memristor oscillators. Zbl 1165.94300
Itoh, Makoto; Chua, Leon O.
2008
Complexity and real computation: A manifesto. Zbl 0872.68036
Blum, Lenore; Cucker, Felipe; Shub, Mike; Smale, Steve
1996
Generating multiscroll chaotic attractors: theories, methods and applications. Zbl 1097.94038
Lü, Jinhu; Chen, Guanrong
2006
On a generalized Lorenz canonical form of chaotic systems. Zbl 1043.37023
Čelikovský, Sergej; Chen, Guanrong
2002
Numerical analysis and control of bifurcation problems. I: Bifurcation in finite dimensions. Zbl 0876.65032
Doedel, Eusebius; Keller, Herbert B.; Kernevez, Jean Pierre
1991
Attractors for lattice dynamical systems. Zbl 1091.37515
Bates, Peter W.; Lu, Kening; Wang, Bixiang
2001
Bifurcation analysis of Chen’s equation. Zbl 1090.37531
Ueta, Tetsushi; Chen, Guanrong
2000
Experimental demonstration of secure communications via chaotic synchronization. Zbl 0875.94134
Kocarev, Lj.; Halle, K. S.; Eckert, K.; Chua, L. O.; Parlitz, U.
1992
A new chaotic system and beyond: the generalized Lorenz-like system. Zbl 1129.37323
Lü, Jinhu; Chen, Guanrong; Cheng, Daizhan
2004
Border-collision bifurcations for piecewise smooth one-dimensional maps. Zbl 0885.58060
Nusse, Helena E.; Yorke, James A.
1995
Bifurcation sets of continuous piecewise linear systems with two zones. Zbl 0996.37065
Freire, Emilio; Ponce, Enrique; Rodrigo, Francisco; Torres, Francisco
1998
Complex networks: Topology, dynamics and synchronization. Zbl 1044.37561
Wang, Xiao Fan
2002
Symmetric ciphers based on two-dimensional chaotic maps. Zbl 0935.94019
Fridrich, Jiri
1998
Some basic cryptographic requirements for chaos-based cryptosystems. Zbl 1192.94088
Alvarez, Gonzalo; Li, Shujun
2006
A unified framework for synchronization and control of dynamical systems. Zbl 0875.93445
Wu, Chai Wah; Chua, Leon O.
1994
A simple way to synchronize chaotic systems with applications to secure communication systems. Zbl 0884.94004
Wu, Chai Wah; Chua, Leon O.
1993
Riddled basins. Zbl 0870.58046
Alexander, J. C.; Yorke, James A.; You, Zhiping; Kan, I.
1992
Simple chaotic flows with one stable equilibrium. Zbl 1284.34064
Molaie, Malihe; Jafari, Sajad; Sprott, Julien Clinton; Golpayegani, S. Mohammad Reza Hashemi
2013
On a class of singular nonlinear traveling wave equations. Zbl 1158.35080
Li, Jibin; Chen, Guanrong
2007
The spatial dilemmas of evolution. Zbl 0870.92011
Nowak, Martin A.; May, Robert M.
1993
Global synchronization of coupled delayed neural networks and applications to chaotic CNN models. Zbl 1077.37506
Chen, Guanrong; Zhou, Jin; Liu, Zengrong
2004
Numerical analysis and control of bifurcation problems. II: Bifurcation in infinite dimensions. Zbl 0876.65060
Doedel, Eusebius; Keller, Herbert B.; Kernevez, Jean Pierre
1991
Implementing memristor based chaotic circuits. Zbl 1193.94082
Muthuswamy, Bharathwaj
2010
From chaos to order – perspectives and methodologies in controlling chaotic nonlinear dynamical systems. Zbl 0886.58076
Chen, Guanrong; Dong, Xiaoning
1993
Dynamical analysis of a new chaotic attractor. Zbl 1044.37021
Lü, Jinhu; Chen, Guanrong; Zhang, Suochun
2002
Transmission of digital signals by chaotic synchronization. Zbl 0870.94011
Parlitz, U.; Chua, L. O.; Kocarev, Lj.; Halle, K. S.; Shang, A.
1992
Time-varying linearization and the Perron effects. Zbl 1142.34033
Leonov, G. A.; Kuznetsov, N. V.
2007
A survey of methods for computing (un)stable manifolds of vector fields. Zbl 1086.34002
Krauskopf, B.; Osinga, H. M.; Doedel, E. J.; Henderson, M. E.; Guckenheimer, J.; Vladimirsky, A.; Dellnitz, M.; Junge, O.
2005
Coexisting hidden attractors in a 4-D simplified Lorenz system. Zbl 1296.34111
Li, Chunbiao; Sprott, J. C.
2014
Families of scroll grid attractors. Zbl 1044.37029
Yalçin, Müştak E.; Suykens, Johan A. K.; Vandewalle, Joos; Özoğuz, Serdar
2002
A chaotic system with one saddle and two stable node-foci. Zbl 1147.34306
Yang, Qigui; Chen, Guanrong
2008
Existence results for fractional boundary value problem via critical point theory. Zbl 1258.34015
Jiao, Feng; Zhou, Yong
2012
Bifurcation control: theories, methods, and applications. Zbl 1090.37552
Chen, Guanrong; Moiola, Jorge L.; Wang, Hua O.
2000
Feedback anticontrol of discrete chaos. Zbl 0941.93522
Chen, Guanrong; Lai, Dejian
1998
Stability and Hopf bifurcation of fractional-order complex-valued single neuron model with time delay. Zbl 1378.92012
Wang, Zhen; Wang, Xiaohong; Li, Yuxia; Huang, Xia
2017
A numerical toolbox for homoclinic bifurcation analysis. Zbl 0877.65058
Champneys, A. R.; Kuznetsov, Yu. A.; Sandstede, B.
1996
New 3D-scroll attractors in hyperchaotic Chua’s circuits forming a ring. Zbl 1057.37026
Cafagna, Donato; Grassi, Giuseppe
2003
Chen’s attractor exists. Zbl 1129.37326
Zhou, Tianshou; Tang, Yun; Chen, Guanrong
2004
Active control and global synchronization of the complex Chen and Lü systems. Zbl 1146.93372
Mahmoud, Gamal M.; Bountis, Tassos; Mahmoud, Emad E.
2007
Memristor cellular automata and memristor discrete-time cellular neural networks. Zbl 1182.37014
Itoh, Makoto; Chua, Leon O.
2009
Nonlinear time sequence analysis. Zbl 0874.58029
Grassberger, Peter; Schreiber, Thomas; Schaffrath, Carsten
1991
Numerical detection and continuation of codimension-two homoclinic bifurcations. Zbl 0873.34030
Champneys, A. R.; Kuznetsov, Yu. A.
1994
On adaptive synchronization and control of nonlinear dynamical systems. Zbl 0875.93182
Wu, Chai Wah; Yang, Tao; Chua, Leon O.
1996
Hyperchaotic attractors of unidirectionally-coupled Chua’s circuits. Zbl 0813.58037
Kapitaniak, Tomasz; Chua, Leon O.
1994
Sliding bifurcations: a novel mechanism for the sudden onset of chaos in dry friction oscillators. Zbl 1099.70504
di Bernardo, M.; Kowalczyk, P.; Nordmark, A.
2003
Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication. Zbl 0925.93374
Yang, Tao; Chua, Leon O.
1997
Algorithms and visualization for solutions of nonlinear elliptic equations. Zbl 1090.65549
Chen, Goong; Zhou, Jianxin; Ni, Wei-Ming
2000
Hopf bifurcations for near-Hamiltonian systems. Zbl 1183.34054
Han, Maoan; Yang, Junmin; Yu, Pei
2009
Conditions for impulsive synchronization of chaotic and hyperchaotic systems. Zbl 1090.37520
Itoh, Makoto; Yang, Tao; Chua, Leon O.
2001
Steps toward unmasking secure communications. Zbl 0875.94002
Short, Kevin M.
1994
Hyperchaos in a modified canonical Chua’s circuit. Zbl 1067.94597
Thamilmaran, K.; Lakshmanan, M.; Venkatesan, A.
2004
A new chaotic system and its generators. Zbl 1078.37504
Liu, Wenbo; Chen, Guanrong
2003
Bifurcation and chaos in noninteger order cellular neural networks. Zbl 0936.92006
Arena, P.; Caponetto, R.; Fortuna, L.; Porto, D.
1998
Bifurcation of limit cycles by perturbing piecewise Hamiltonian systems. Zbl 1193.34082
Liu, Xia; Han, Maoan
2010
Cycles of chaotic intervals in a time-delayed Chua’s circuit. Zbl 0890.58052
Maistrenko, Yu. L.; Maistrenko, V. L.; Chua, L. O.
1993
Feedback control of Lyapunov exponents for discrete-time dynamical systems. Zbl 0875.93157
Chen, Guanrong; Lai, Dejian
1996
Absolute stability theory and the synchronization problem. Zbl 0910.34054
Curran, P. F.; Chua, L. O.
1997
Complex dynamical behaviors of the chaotic Chen’s system. Zbl 1046.37018
Zhou, Tianshou; Tang, Yun; Chen, Guanrong
2003
An unusual 3D autonomous quadratic chaotic system with two stable node-foci. Zbl 1193.34091
Yang, Qigui; Wei, Zhouchao; Chen, Guanrong
2010
Pinning impulsive stabilization of nonlinear dynamical networks with time-varying delay. Zbl 1270.92006
Lu, Jianquan; Wang, Zidong; Cao, Jinde; Ho, Daniel W. C.; Kurths, Jürgen
2012
Chimera states in a ring of nonlocally coupled oscillators. Zbl 1101.37319
Abrams, Daniel M.; Strogatz, Steven H.
2006
Chua’s circuit: Rigorous results and future problems. Zbl 0870.58072
Shil’nikov, Leonid P.
1994
Chaos of travelling waves in a discrete chain of diffusively coupled maps. Zbl 0870.58049
Afraimovich, V. S.; Nekorkin, V. I.
1994
Chaos synchronization of general Lur’e systems via time-delay feedback control. Zbl 1129.93509
Liao, Xiaoxin; Chen, Guanrong
2003
An adaptive approach to the control and synchronization of continuous-time chaotic systems. Zbl 0900.70413
Di Bernardo, Mario
1996
Generalized synchronization of chaos via linear transformations. Zbl 0937.37019
Yang, Tao; Chua, Leon O.
1999
Local bifurcations of the Chen system. Zbl 1047.34044
Lü, Jinhu; Zhou, Tianshou; Chen, Guanrong; Zhang, Suochun
2002
Recent developments in dynamical systems: three perspectives. Zbl 1202.37003
Balibrea, F.; Caraballo, T.; Kloeden, P. E.; Valero, J.
2010
Synchronization of chaotic fractional-order systems via linear control. Zbl 1183.34095
Odibat, Zaid M.; Corson, Nathalie; Aziz-Alaoui, M. A.; Bertelle, Cyrille
2010
More spatial games. Zbl 0884.90147
Nowak, Martin A.; Bonhoeffer, Sebastian; May, Robert M.
1994
Monodromy and stability for nilpotent critical points. Zbl 1088.34021
Álvarez, M. J.; Gasull, A.
2005
Experimental chaos synchronization in Chua’s circuit. Zbl 0875.94133
Chua, Leon O.; Kocarev, Ljupco; Eckert, Kevin; Itoh, Makoto
1992
Multistability in the Lorenz system: a broken butterfly. Zbl 1302.34015
Li, Chunbiao; Sprott, Julien Clinton
2014
Degenerate bifurcations and border collisions in piecewise smooth 1D and 2D maps. Zbl 1196.37090
Sushko, Iryna; Gardini, Laura
2010
A unified Lorenz-type system and its canonical form. Zbl 1185.37088
Yang, Qigui; Chen, Guangrong; Zhou, Tianshou
2006
Spread spectrum communication through modulation of chaos. Zbl 0870.94002
Halle, K. Sean; Wu, Chai Wah; Itoh, Makoto; Chua, Leon O.
1993
A novel fast image encryption scheme based on 3D chaotic Baker maps. Zbl 1064.94509
Mao, Yaobin; Chen, Guanrong; Lian, Shiguo
2004
Constructing a novel no-equilibrium chaotic system. Zbl 1296.34114
Pham, Viet-Thanh; Volos, Christos; Jafari, Sajad; Wei, Zhouchao; Wang, Xiong
2014
Hidden hyperchaotic attractors in a modified Lorenz-Stenflo system with only one stable equilibrium. Zbl 1302.34017
Wei, Zhouchao; Zhang, Wei
2014
CNN: A vision of complexity. Zbl 0901.68138
Chua, Leon O.
1997
Twelve limit cycles in a cubic case of the 16th Hilbert problem. Zbl 1092.34524
Yu, P.; Han, M.
2005
Finite difference methods for fractional differential equations. Zbl 1258.34018
Li, Changpin; Zeng, Fanhai
2012
Normal forms and Lorenz attractors. Zbl 0885.58080
Shil’nikov, A. L.; Shil’nikov, L. P.; Turaev, D. V.
1993
Classification of chaos in 3-D autonomous quadratic systems. I. Basic framework and methods. Zbl 1185.37092
Zhou, Tianshou; Chen, Guangrong
2006
Peakons and their bifurcation in a generalized Camassa-Holm equation. Zbl 1090.37554
Liu, Zhengrong; Qian, Tifei
2001
Basin bifurcations of two-dimensional noninvertible maps: Fractalization of basins. Zbl 0818.58032
Mira, C.; Fournier-Prunaret, D.; Gardini, L.; Kawakami, H.; Cathala, J. C.
1994
A gallery of attractors from smooth Chua’s equation. Zbl 1069.94523
Tsuneda, Akio
2005
Methods of the qualitative theory for the Hindmarsh–Rose model: a case study. A tutorial. Zbl 1165.34364
Shilnikov, Andrey; Kolomiets, Marina
2008
Lévy flight superdiffusion: an introduction. Zbl 1157.82300
Dubkov, A. A.; Spagnolo, B.; Uchaikin, V. V.
2008
Three-dimensional Hénon-like maps and wild Lorenz-like attractors. Zbl 1097.37023
Gonchenko, S. V.; Ovsyannikov, I. I.; Simó, C.; Turaev, D.
2005
Bifurcations of attracting cycles from time-delayed Chua’s circuit. Zbl 0885.58059
Maistrenko, Yu. L.; Maistrenko, V. L.; Vikul, S. I.; Chua, L. O.
1995
Invariant manifolds for competitive discrete systems in the plane. Zbl 1202.37027
Kulenović, M. R. S.; Merino, Orlando
2010
Quasiperiodic-chaotic neural networks and short-term analog memory. Zbl 1462.37101
Ichinose, Natsuhiro
2021
Spatiotemporal complexity analysis for a space-time discrete generalized toxic-phytoplankton-zooplankton model with self-diffusion and cross-diffusion. Zbl 1459.37091
Zhong, Shihong; Wang, Jinliang; Bao, Junhua; Li, You; Jiang, Nan
2021
Recurrent misconceptions in the study of CA reversibility on triangular grids. Zbl 07321545
Wolnik, Barbara; Dziemiańczuk, Maciej; De Baets, Bernard
2021
Quadratic differential systems with a finite saddle-node and an infinite saddle-node $$(1,1)SN$$-(A). Zbl 07321560
Artés, Joan C.; Mota, Marcos C.; Rezende, Alex C.
2021
Topological equivalence classification of balanced linearly separable Boolean functions on $$n$$-dimensional hypercube. Zbl 07321565
He, Qinbin; Chen, Fangyue; Jin, Wei
2021
Oscillatory and stationary patterns in a diffusive model with delay effect. Zbl 1461.35031
Guo, Shangjiang; Li, Shangzhi; Sounvoravong, Bounsanong
2021
Minimal universal model for chaos in laser with feedback. Zbl 1464.37088
Meucci, Riccardo; Euzzor, Stefano; Tito Arecchi, F.; Ginoux, Jean-Marc
2021
Complex dynamics of a Filippov three-species food chain model. Zbl 07352633
Hamdallah, Soliman A. A.; Arafa, Ayman A.; Tang, Sanyi; Xu, Yong
2021
Two-dimensional manifolds of controlled Chen system. Zbl 1467.93151
Ma, Suqi
2021
Stability and bifurcation in a predator-prey system with prey-taxis. Zbl 1435.35395
Qiu, Huanhuan; Guo, Shangjiang; Li, Shangzhi
2020
Tilting and squeezing: phase space geometry of Hamiltonian saddle-node bifurcation and its influence on chemical reaction dynamics. Zbl 1442.37069
García-Garrido, Víctor J.; Naik, Shibabrat; Wiggins, Stephen
2020
Patterns in a modified Leslie-Gower model with Beddington-DeAngelis functional response and nonlocal prey competition. Zbl 1446.35220
Gao, Jianping; Guo, Shangjiang
2020
The mean sensitivity and mean equicontinuity in uniform spaces. Zbl 1448.37012
Wu, Xinxing; Liang, Shudi; Ma, Xin; Lu, Tianxiu; Ahmadi, Seyyed Alireza
2020
Four-wing hidden attractors with one stable equilibrium point. Zbl 1446.34023
Deng, Quanli; Wang, Chunhua; Yang, Linmao
2020
An asymmetric image encryption algorithm based on a fractional-order chaotic system and the RSA public-key cryptosystem. Zbl 1459.94151
Ye, Guodong; Jiao, Kaixin; Wu, Huishan; Pan, Chen; Huang, Xiaoling
2020
Dynamic pricing game under different channel power structures in a closed-loop supply chain. Zbl 1443.91015
Ma, Junhai; Zhang, Fang; Jiang, Hui
2020
Hopf bifurcation for semilinear FDEs in general Banach spaces. Zbl 1447.35038
Li, Shangzhi; Guo, Shangjiang
2020
Global dynamics of a Lotka-Volterra competition diffusion system with nonlocal effects. Zbl 1439.35267
Han, Bang-Sheng; Yang, Yinghui; Bo, Wei-Jian; Tang, Huiling
2020
High-order analysis of global bifurcations in a codimension-three Takens-Bogdanov singularity in reversible systems. Zbl 1436.34035
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.
2020
Turing pattern induced by cross-diffusion in a predator-prey model with pack predation-herd behavior. Zbl 1448.92257
Yang, Jingen; Zhang, Tonghua; Yuan, Sanling
2020
Turing instability and pattern formation in a strongly coupled diffusive predator-prey system. Zbl 1445.35036
Hu, Guangping; Feng, Zhaosheng
2020
Bifurcations of negative responses to positive feedback current mediated by memristor in a neuron model with bursting patterns. Zbl 1446.34069
Wu, Fuqiang; Gu, Huaguang
2020
Period-bubbling transition to chaos in thermo-viscoelastic fluid systems. Zbl 1446.34065
Layek, G. C.; Pati, N. C.
2020
A new category of three-dimensional chaotic flows with identical eigenvalues. Zbl 1445.34038
Faghani, Zahra; Nazarimehr, Fahimeh; Jafari, Sajad; Sprott, Julien C.
2020
Bifurcations and exact solutions for a class of MKdV equations with the conformable fractional derivative via dynamical system method. Zbl 1436.34034
Liang, Jianli; Tang, Longkun; Xia, Yonghui; Zhang, Yi
2020
Completing the study of traveling wave solutions for three two-component shallow water wave models. Zbl 1444.34004
Li, Jibin; Chen, Guanrong; Song, Jie
2020
Memristor synapse-based Morris-Lecar model: bifurcation analyses and FPGA-based validations for periodic and chaotic bursting/spiking firings. Zbl 1441.34054
Bao, Han; Zhu, Dong; Liu, Wenbo; Xu, Quan; Chen, Mo; Bao, Bocheng
2020
Bifurcation analysis of mathematical model of prostate cancer with immunotherapy. Zbl 1448.34104
Zazoua, Assia; Zhang, Yongxin; Wang, Wendi
2020
Hopf bifurcation and stability crossing curve in a planktonic resource-consumer system with double delays. Zbl 1455.37073
Jiang, Zhichao; Guo, Yanfen
2020
Logical chaotic resonance in a bistable system. Zbl 1453.94033
Yao, Yuangen; Ma, Jun
2020
The structural stability of maps with heteroclinic repellers. Zbl 1455.37020
Chen, Yuanlong; Li, Liangliang; Wu, Xiaoying; Wang, Feng
2020
Fear induced stabilization in an intraguild predation model. Zbl 1446.34064
Hossain, Mainul; Pal, Nikhil; Samanta, Sudip; Chattopadhyay, Joydev
2020
A new route to strange nonchaotic attractors in an interval map. Zbl 07192276
Zhang, Yongxiang; Shen, Yunzhu
2020
Formal Weierstrass nonintegrability criterion for some classes of polynomial differential systems in $$\mathbb{C}^2$$. Zbl 1446.34001
Giné, Jaume; Llibre, Jaume
2020
Overcoming oscillation quenching via mean-field feedback. Zbl 1446.34095
Zhao, Nannan; Sun, Zhongkui
2020
Symmetries of quotient networks for doubly periodic patterns on the hexagonal lattice. Zbl 1442.37056
Stewart, Ian; Gökaydin, Dinis
2020
Periodic solutions of a delayed eco-epidemiological model with infection-age structure and Holling type II functional response. Zbl 1436.35302
Yang, Peng; Wang, Yuanshi
2020
Unfolding codimension-two subsumed homoclinic connections in two-dimensional piecewise-linear maps. Zbl 1441.37056
Simpson, David J. W.
2020
Bifurcation analysis of phytoplankton and zooplankton interaction system with two delays. Zbl 1445.34120
Jiang, Zhichao; Dai, Jiangtao; Zhang, Tongqian
2020
Picard-Fuchs equation applied to quadratic isochronous systems with two switching lines. Zbl 1445.34041
Yang, Jihua
2020
Limit cycles induced by threshold nonlinearity in planar piecewise linear systems of node-focus or node-center type. Zbl 07258124
Wang, Jiafu; He, Su; Huang, Lihong
2020
A dynamic duopoly game with content providers’ bounded rationality. Zbl 1447.91064
Garmani, Hamid; Omar, Driss Ait; El Amrani, Mohamed; Baslam, Mohamed; Jourhmane, Mostafa
2020
Synchronization of periodic self-oscillators interacting via memristor-based coupling. Zbl 1448.34074
2020
Amplitude equations and bifurcation diagrams for multifrequency synchronization of canonical-dissipative oscillators. Zbl 1453.34077
Frank, Till D.; Mongkolsakulvong, S.
2020
Complexities and bifurcations induced by drug responses in a pulsed tumour-immune model. Zbl 1454.92018
Yang, Jin; Tan, Yuanshun; Cheke, Robert A.
2020
Bifurcation analysis of the $$\gamma$$-Ricker population model using the Lambert $$W$$ function. Zbl 1445.39014
2020
Bifurcations and dynamics of traveling wave solutions for the regularized Saint-Venant equation. Zbl 1445.35037
Li, Jibin; Chen, Guanrong; Song, Jie
2020
Extreme multistability and complex dynamics of a memristor-based chaotic system. Zbl 1448.34097
Chang, Hui; Li, Yuxia; Chen, Guanrong; Yuan, Fang
2020
Dynamics associated with the normally hyperbolic invariant manifold that governs the ionization of hydrogen in a circularly polarized electric field. Zbl 1448.37072
Jung, Christof; Waalkens, Holger
2020
Bifurcations in a pre-stressed, harmonically excited, vibro-impact oscillator at subharmonic resonances. Zbl 07236644
Rounak, Aasifa; Gupta, Sayan
2020
Hamiltonian-based energy analysis for brushless DC motor chaotic system. Zbl 1448.37063
2020
Independent period-2 motions to chaos in a van der Pol-Duffing oscillator. Zbl 07306747
Xu, Yeyin; Luo, Albert C. J.
2020
Deep learning for nonlinear time series: examples for inferring slow driving forces. Zbl 1459.37070
Hirata, Yoshito; Aihara, Kazuyuki
2020
Chaotification of first-order partial difference equations. Zbl 1458.39013
Liang, Wei; Guo, Haihong
2020
The effects of a constant excitation force on the dynamics of an infinite-equilibrium chaotic system without linear terms: analysis, control and circuit simulation. Zbl 1466.37030
Kamdjeu Kengne, L.; Njitacke, Z. Tabekoueng; Pone, J. R. Mboupda; Tagne, H. T. Kamdem
2020
Analysis of pricing and service effort in dual-channel supply chains with showrooming effect. Zbl 1457.90008
Ma, Junhai; Li, Yaping; Wang, Zongxian
2020
Analysis of degenerate Chenciner bifurcation. Zbl 1460.39007
Tigan, Gheorghe; Lugojan, Sorin; Ciurdariu, Loredana
2020
On the scaling law of phase drift in coupled nonlinear oscillators for precision timing. Zbl 1465.34051
Palacios, Antonio; Buono, Pietro-Luciano; In, Visarath; Longhini, Patrick
2020
Milnor and topological attractors in a family of two-dimensional Lotka-Volterra maps. Zbl 1456.37049
Gardini, Laura; Tikjha, Wirot
2020
Hidden attractors with conditional symmetry. Zbl 1455.37027
Li, Chunbiao; Sun, Jiayu; Sprott, Julien Clinton; Lei, Tengfei
2020
Chaos suppression via integrative time delay control. Zbl 1457.34112
Arafa, Ayman A.; Xu, Yong; Mahmoud, Gamal M.
2020
Chaos generated by a class of 3D three-zone piecewise affine systems with coexisting singular cycles. Zbl 07281773
Lu, Kai; Xu, Wenjing; Yang, Qigui
2020
Dynamics of a discrete nonlinear prey-predator model. Zbl 1442.37106
Wang, JinRong; Fečkan, Michal
2020
Classification of invariant algebraic curves and nonexistence of algebraic limit cycles in quadratic systems from family $$(I)$$ of the Chinese classification. Zbl 1446.34047
Demina, Maria V.; Valls, Claudia
2020
An improved return maps method for parameter estimation of chaotic systems. Zbl 1442.37087
Peng, Yuexi; Sun, Kehui; He, Shaobo
2020
An extension of discrete Lagrangian descriptors for unbounded maps. Zbl 1445.37059
García-Garrido, Víctor J.
2020
Time-reversible chaotic system with conditional symmetry. Zbl 1446.34025
Li, Chunbiao; Sprott, Julien Clinton; Liu, Yongjian
2020
Positive solutions of a predator-prey model with additive Allee effect. Zbl 1446.35236
Zhang, Conghui; Yuan, Hailong
2020
Global analysis of stochastic systems by the digraph cell mapping method based on short-time Gaussian approximation. Zbl 1457.60109
Han, Qun; Xu, Wei; Hao, Huibing; Yue, Xiaole
2020
Finding method and analysis of hidden chaotic attractors for plasma chaotic system from physical and mechanistic perspectives. Zbl 1447.34054
Yang, Yingjuan; Qi, Guoyuan; Hu, Jianbing; Faradja, Philippe
2020
Design and Virtex-7-based implementation of video chaotic secure communications. Zbl 1457.94109
Chen, Baoju; Yu, Simin; Chen, Ping; Xiao, Liangshan; Lü, Jinhu
2020
High-order analysis of canard explosion in the Brusselator equations. Zbl 1447.34023
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.
2020
Detection and classification of solutions for systems interacting by soft impacts with sample-based method. Zbl 1446.34060
Lazarek, M.; Brzeski, P.; Solecki, W.; Perlikowski, P.
2020
Dynamical analysis of planetary gear transmission system under support stiffness effects. Zbl 07214511
Xiang, Ling; Deng, Zeqi; Hu, Aijun
2020
Dynamics of convective thermal explosion in porous media. Zbl 1443.76145
Allali, Karam; Joundy, Youssef; Taik, Ahmed; Volpert, Vitaly
2020
Rich bifurcation structure of prey-predator model induced by the Allee effect in the growth of generalist predator. Zbl 1446.34067
Sen, Deeptajyoti; Petrovskii, Sergei; Ghorai, S.; Banerjee, Malay
2020
The coexisting behaviors on the boundary of a Duffing-like oscillator with signum nonlinearity and its FPGA-based implementation. Zbl 1446.34061
Min, Fuhong; Chen, Jiayun
2020
Multistability and hidden attractors in a three-dimensional chaotic system. Zbl 1446.34026
Yang, Ting
2020
Spectral and dynamic consequences of network specialization. Zbl 1442.90025
Bunimovich, Leonid; Passey, D. J.; Smith, Dallas; Webb, Benjamin
2020
Bifurcation analysis in a cancer growth model. Zbl 1445.34069
Chang, Yu; Wang, Xiaoli; Feng, Zhihong; Feng, Wei
2020
How to construct complex dynamics? A note on a topological approach. Zbl 1443.37012
Sovrano, Elisa
2020
Dynamics in a plankton model with toxic substances and phytoplankton harvesting. Zbl 1445.34079
Zhang, Hua; Niu, Ben
2020
Characterizing the dynamics of the watt governor system under harmonic perturbation and Gaussian noise. Zbl 1432.70050
Rosa, Lucas A. S.; Prebianca, Flavio; Hoff, Anderson; Manchein, Cesar; Albuquerque, Holokx A.
2020
Determining the properties of the basins of convergence in the generalized Hénon-Heiles system. Zbl 1432.37070
Zotos, Euaggelos E.; Sanam Suraj, Md.; Mittal, Amit; Aggarwal, Rajiv
2020
A complete investigation of the effect of external force on a 3D megastable oscillator. Zbl 1436.34010
Liu, Yongjian; Khalaf, Abdul Jalil M.; Hayat, Tasawar; Alsaedi, Ahmed; Pham, Viet-Thanh; Jafari, Sajad
2020
Second order Melnikov functions of piecewise Hamiltonian systems. Zbl 1436.37071
Yang, Peixing; Françoise, Jean-Pierre; Yu, Jiang
2020
Bifurcations of traveling wave solutions for fully nonlinear water waves with surface tension in the generalized Serre-Green-Naghdi equations. Zbl 1435.34007
Li, Jibin; Chen, Guanrong; Song, Jie
2020
Hopf bifurcation analysis and stability for a ratio-dependent predator-prey diffusive system with time delay. Zbl 1435.35392
Li, Longyue; Mei, Yingying; Cao, Jianzhi
2020
Meng, Fanqi; Zeng, Xiaoqin; Wang, Zuolei; Wang, Xinjun
2020
A linear spline Markov approximation method for random maps with position dependent probabilities. Zbl 1445.37036
Jin, Congming; Ding, Jiu
2020
Continuous sequences with frequency independence generated by discrete spatiotemporal systems. Zbl 1442.39008
Tian, Chuanjun
2020
Experimentally accessible orbits near a Bykov cycle. Zbl 1450.37075
Barrio, Roberto; Carvalho, Maria; Castro, Luísa; Rodrigues, Alexandre A. P.
2020
Dynamic evolution, synchronization and multistability in an advertising game model with homogeneous products and spillover effect. Zbl 1448.37130
Wang, Wenrui; Zhou, Wei; Xia, Libin
2020
Sensitivity and chaoticity on nonautonomous dynamical systems. Zbl 1458.37027
Li, Nan; Wang, Lidong
2020
A new 4D four-wing memristive hyperchaotic system: dynamical analysis, electronic circuit design, shape synchronization and secure communication. Zbl 1450.37094
Yu, Fei; Qian, Shuai; Chen, Xi; Huang, Yuanyuan; Liu, Li; Shi, Changqiong; Cai, Shuo; Song, Yun; Wang, Chunhua
2020
Stochastic spiking-bursting excitability and transition to chaos in a discrete-time neuron model. Zbl 1450.37084
Bashkirtseva, Irina; Nasyrova, Venera; Ryashko, Lev
2020
Exploring the location and linear stability of the equilibrium points in the equilateral restricted four-body problem. Zbl 1460.70010
Zotos, Euaggelos E.
2020
Stability and bifurcation in discrete mechanical systems: an experimental and analytical study. Zbl 07247471
Guan, Yue; Virgin, Lawrence N.
2020
Detection of dynamical matching in a Caldera Hamiltonian system using Lagrangian descriptors. Zbl 1460.37076
Katsanikas, Matthaios; García-Garrido, Víctor J.; Wiggins, S.
2020
Exact peakon, periodic peakon and pseudo-peakon solutions of the rotation-two-component Camassa-Holm system. Zbl 1447.35106
Li, Jibin; Chen, Guanrong; Zhou, Yan
2020
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#### Cited by 18,376 Authors

 303 Chen, Guanrong 217 Llibre, Jaume 140 Han, Maoan 120 Li, Jibin 112 Yu, Pei 110 Cao, Jinde 93 Chua, Leon Ong 85 Gardini, Laura 82 Wang, Xingyuan 79 Liao, Xiaofeng 77 Pham, Viet-Thanh 77 Vaidyanathan, Sundarapandian 73 Kurths, Jürgen 68 Jafari, Sajad 67 Sprott, Julien Clinton 64 Zhang, Wei 63 Yang, Xiaosong 61 Aihara, Kazuyuki 60 Algaba, Antonio 60 Valls Anglés, Cláudia 57 Leonov, Gennadiĭ Alekseevich 54 Yang, Qigui 53 Xu, Wei 52 Kapitaniak, Tomasz 50 Wei, Junjie 49 Giné, Jaume 47 Lu, Junan 46 Kuznetsov, Nikolay Vladimirovich 45 Liu, Yirong 45 Lu, Jinhu 44 Wei, Zhouchao 43 Gasull, Armengol 43 Grassi, Giuseppe 43 Kashchenko, Sergeĭ Aleksandrovich 43 Krauskopf, Bernd 43 Liu, Xinzhi 42 Osinga, Hinke Maria 41 Guo, Shangjiang 41 Li, Changpin 41 Li, Chuandong 41 Luo, Albert C. J. 41 Rodríguez-Luis, Alejandro J. 40 Huang, Lihong 40 Kumar Upadhyay, Ranjit 40 Valero, José 40 Zhang, Tonghua 39 Avrutin, Viktor 39 Sanjuán, Miguel A. F. 38 Chen, Zengqiang 38 Danca, Marius-Florin 38 Ponce, Enrique 38 Ryashko, Lev Borisovich 38 Sun, Ji Tao 37 Bi, Qinsheng 37 Volos, Christos K. 37 Zhang, Fuchen 37 Zhou, Shengfan 36 Letellier, Christophe 36 Wang, Bixiang 35 Bashkirtseva, Irina Adol’fovna 35 Billings, Stephen A. 35 Freire Macías, Emilio 35 Park, Juhyun (Jessie) 35 Qi, Guoyuan 34 Awrejcewicz, Jan 34 Ouannas, Adel 34 Wang, Zhen 33 Andres, Jan 33 Fang, Jian’an 33 Feng, Zhaosheng 33 Liu, Shutang 32 Kuznetsov, Sergey P. 32 Liu, Zhengrong 32 Mosekilde, Erik 32 Torregrosa, Joan 31 Aguirre, Luis Antonio 31 Caraballo Garrido, Tomás 31 Fu, Xinchu 31 Huang, Tingwen 31 Lu, Jianquan 31 Shi, Yuming 30 Guan, Zhihong 30 Huang, Wentao 30 Xu, Jian 30 Zhang, Xiang 29 Bao, Bocheng 29 Bowong, Samuel 29 Kloeden, Peter Eris 29 Lakshmanan, Muthusamy 29 Yu, Simin 29 Zhao, Yulin 28 Grebogi, Celso 28 Kulenović, Mustafa R. S. 28 Li, Chunbiao 28 Li, Yuxia 28 Nijmeijer, Henk 28 Song, Yongli 28 Xiong, Yanqin 27 Ashwin, Peter 27 Jiang, Weihua ...and 18,276 more Authors
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#### Cited in 721 Journals

 3,415 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1,263 Chaos, Solitons and Fractals 1,009 Chaos 903 Nonlinear Dynamics 522 Communications in Nonlinear Science and Numerical Simulation 516 Physica D 470 Applied Mathematics and Computation 300 Journal of Mathematical Analysis and Applications 241 Journal of Differential Equations 230 Mathematical Problems in Engineering 192 Nonlinear Analysis. Real World Applications 188 Discrete Dynamics in Nature and Society 186 Journal of the Franklin Institute 175 Abstract and Applied Analysis 174 Advances in Difference Equations 160 Complexity 159 Discrete and Continuous Dynamical Systems. Series B 154 Journal of Difference Equations and Applications 146 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 132 Journal of Computational and Applied Mathematics 127 Qualitative Theory of Dynamical Systems 120 Computers & Mathematics with Applications 115 SIAM Journal on Applied Dynamical Systems 114 Neural Networks 110 Journal of Theoretical Biology 106 Mathematics and Computers in Simulation 106 Applied Mathematical Modelling 99 Automatica 92 Physics Letters. A 92 Dynamical Systems 88 Discrete and Continuous Dynamical Systems 87 Journal of Fluid Mechanics 86 International Journal of Modern Physics B 84 Journal of Nonlinear Science 82 Journal of Dynamics and Differential Equations 82 Journal of Applied Analysis and Computation 77 Regular and Chaotic Dynamics 65 Mathematical Biosciences 64 Physica A 59 International Journal of Control 57 Journal of Mathematical Biology 57 Nonlinearity 56 Proceedings of the American Mathematical Society 55 Journal of Mathematical Physics 55 Bulletin of Mathematical Biology 54 Journal of Computational Physics 54 Mathematical and Computer Modelling 54 Celestial Mechanics and Dynamical Astronomy 54 Journal of Applied Mathematics 51 Biological Cybernetics 51 Mathematical Methods in the Applied Sciences 50 Topology and its Applications 50 Applied Mathematics Letters 49 Neural Computation 49 Mathematical Biosciences and Engineering 47 Information Sciences 47 Ergodic Theory and Dynamical Systems 46 Nonlinear Analysis. Hybrid Systems 44 Advances in Mathematical Physics 42 International Journal of Modern Physics C 41 International Journal of Biomathematics 39 Physics of Fluids 39 Fractals 38 Journal of Vibration and Control 36 Journal of Statistical Physics 36 Doklady Mathematics 36 Differential Equations 35 International Journal of Systems Science 35 Systems & Control Letters 34 Circuits, Systems, and Signal Processing 34 Applied Mathematics and Mechanics. (English Edition) 34 International Journal of Computer Mathematics 34 Bulletin des Sciences Mathématiques 34 Asian Journal of Control 33 International Journal of Circuit Theory and Applications 33 Transactions of the American Mathematical Society 33 Nonlinear Analysis. Modelling and Control 33 Discrete and Continuous Dynamical Systems. Series S 32 Computer Methods in Applied Mechanics and Engineering 32 Acta Applicandae Mathematicae 32 Acta Mathematicae Applicatae Sinica. English Series 31 Foundations of Computational Mathematics 30 Acta Mechanica 30 Meccanica 30 Differential Equations and Dynamical Systems 29 Journal of Mathematical Sciences (New York) 28 Computational and Applied Mathematics 28 Journal of Computational Neuroscience 28 Fractional Calculus & Applied Analysis 27 Modern Physics Letters B 27 Dynamics and Stability of Systems 27 Entropy 27 Stochastics and Dynamics 26 Kybernetika 26 Communications on Pure and Applied Analysis 25 Applicable Analysis 25 International Journal of Robust and Nonlinear Control 25 Acta Mathematica Sinica. English Series 25 Journal of Nonlinear Science and Applications 24 ZAMP. Zeitschrift für angewandte Mathematik und Physik ...and 621 more Journals
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#### Cited in 61 Fields

 7,710 Dynamical systems and ergodic theory (37-XX) 7,020 Ordinary differential equations (34-XX) 3,160 Biology and other natural sciences (92-XX) 3,013 Systems theory; control (93-XX) 1,797 Partial differential equations (35-XX) 1,308 Information and communication theory, circuits (94-XX) 1,224 Numerical analysis (65-XX) 1,105 Mechanics of particles and systems (70-XX) 710 Computer science (68-XX) 588 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 539 Fluid mechanics (76-XX) 458 Difference and functional equations (39-XX) 453 Probability theory and stochastic processes (60-XX) 452 Mechanics of deformable solids (74-XX) 318 Statistical mechanics, structure of matter (82-XX) 285 Statistics (62-XX) 279 Real functions (26-XX) 276 Operations research, mathematical programming (90-XX) 268 Operator theory (47-XX) 203 Combinatorics (05-XX) 198 Measure and integration (28-XX) 181 General topology (54-XX) 164 Calculus of variations and optimal control; optimization (49-XX) 160 Optics, electromagnetic theory (78-XX) 124 Quantum theory (81-XX) 120 Functions of a complex variable (30-XX) 120 Geophysics (86-XX) 115 Global analysis, analysis on manifolds (58-XX) 74 Classical thermodynamics, heat transfer (80-XX) 65 Linear and multilinear algebra; matrix theory (15-XX) 65 Integral equations (45-XX) 55 Mathematical logic and foundations (03-XX) 52 Algebraic geometry (14-XX) 50 Differential geometry (53-XX) 47 Number theory (11-XX) 44 Harmonic analysis on Euclidean spaces (42-XX) 43 Approximations and expansions (41-XX) 40 Special functions (33-XX) 39 Functional analysis (46-XX) 36 Astronomy and astrophysics (85-XX) 34 General and overarching topics; collections (00-XX) 32 History and biography (01-XX) 29 Manifolds and cell complexes (57-XX) 23 Several complex variables and analytic spaces (32-XX) 22 Relativity and gravitational theory (83-XX) 19 Field theory and polynomials (12-XX) 18 Commutative algebra (13-XX) 18 Group theory and generalizations (20-XX) 17 Convex and discrete geometry (52-XX) 11 Topological groups, Lie groups (22-XX) 11 Integral transforms, operational calculus (44-XX) 10 Algebraic topology (55-XX) 9 Nonassociative rings and algebras (17-XX) 9 Potential theory (31-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 6 Geometry (51-XX) 4 Sequences, series, summability (40-XX) 2 Category theory; homological algebra (18-XX) 2 Abstract harmonic analysis (43-XX) 2 Mathematics education (97-XX) 1 Associative rings and algebras (16-XX)