## 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: 6,383 Publications (since 1991) References Indexed: 5,498 Publications with 147,890 References.
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### Authors

 175 Chua, Leon Ong 169 Chen, Guanrong 89 Li, Jibin 76 Llibre, Jaume 55 Yu, Pei 52 Han, Maoan 49 Sprott, Julien Clinton 47 Jafari, Sajad 42 Kurths, Jürgen 39 Aihara, Kazuyuki 39 Mira, Christian 34 Gardini, Laura 33 Itoh, Makoto 32 Yang, Xiaosong 31 Luo, Albert C. J. 31 Zhang, Wei 30 Sanjuán, Miguel A. F. 29 Pham, Viet-Thanh 26 Fortuna, Luigi 26 Kapitaniak, Tomasz 25 Lakshmanan, Muthusamy 24 Grassi, Giuseppe 24 Grebogi, Celso 23 Wei, Junjie 22 Feng, Zhaosheng 22 Wiggins, Stephen 22 Xu, Wei 21 Billings, Stephen A. 21 Freire Macías, Emilio 21 Mees, Alistair I. 21 Ponce, Enrique 21 Tse, Chi Kong 20 Awrejcewicz, Jan 20 Frasca, Mattia 20 Holden, Arun V. 20 Lu, Jinhu 20 Stewart, Ian Nicholas 19 Danca, Marius-Florin 19 Ma, Junhai 19 Rajagopal, Karthikeyan 19 Yu, Simin 18 Adamatzky, Andrew I. 18 Li, Chunbiao 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 Zhang, Tonghua 16 Bashkirtseva, Irina Adol’fovna 16 Bi, Qinsheng 16 Bountis, Tassos C. 16 Guo, Shangjiang 16 Kawakami, Hiroshi 16 Leonov, Gennadiĭ Alekseevich 16 Liu, Yirong 16 Min, Lequan 16 Pérez-Villar, Vicente 16 Rodríguez-Luis, Alejandro J. 16 Wei, Zhouchao 15 Algaba, Antonio 15 Avrutin, Viktor 15 Brown, Ray 15 Doedel, Eusebius J. 15 Fournier-Prunaret, Danièle 15 Kim, Hyongsuk 15 Kocarev, Ljupco 15 Kuznetsov, Nikolay Vladimirovich 15 Li, Changpin 15 Mosekilde, Erik 15 Nazarimehr, Fahimeh 15 Rinaldi, Sergio 15 Ryashko, Lev Borisovich 15 Sbitnev, Valery I. 15 Ueta, Tetsushi 15 Yang, Tao 15 Zhao, Yi 14 Afraimovich, Valentin S. 14 Bao, Bocheng 14 Bollt, Erik M. 14 Buscarino, Arturo 14 Cafagna, Donato 14 Chen, Fengjuan 14 Lai, Yingcheng 14 Liu, Zhong 14 Nekorkin, Vladimir I. 14 Starkov, Konstantin E. 14 Wu, Xinxing 14 Xu, Jian 13 Andres, Jan 13 Barbé, André M. 13 Bilotta, Eleonora 13 Chen, Goong 13 Hong, Ling ...and 7,920 more Authors
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### Fields

 3,346 Dynamical systems and ergodic theory (37-XX) 2,676 Ordinary differential equations (34-XX) 1,237 Biology and other natural sciences (92-XX) 773 Information and communication theory, circuits (94-XX) 594 Systems theory; control (93-XX) 534 Partial differential equations (35-XX) 463 Mechanics of particles and systems (70-XX) 299 Computer science (68-XX) 225 Numerical analysis (65-XX) 190 Fluid mechanics (76-XX) 180 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 174 Statistical mechanics, structure of matter (82-XX) 147 Difference and functional equations (39-XX) 128 Mechanics of deformable solids (74-XX) 109 Optics, electromagnetic theory (78-XX) 106 Statistics (62-XX) 87 Operations research, mathematical programming (90-XX) 73 Probability theory and stochastic processes (60-XX) 66 Measure and integration (28-XX) 54 Geophysics (86-XX) 44 Quantum theory (81-XX) 43 Global analysis, analysis on manifolds (58-XX) 40 Operator theory (47-XX) 40 Classical thermodynamics, heat transfer (80-XX) 36 General and overarching topics; collections (00-XX) 34 Real functions (26-XX) 32 Combinatorics (05-XX) 31 General topology (54-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 Harmonic analysis on Euclidean spaces (42-XX) 13 Astronomy and astrophysics (85-XX) 11 Approximations and expansions (41-XX) 9 History and biography (01-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 Special functions (33-XX) 7 Relativity and gravitational theory (83-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 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Algebraic topology (55-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Mathematics education (97-XX)

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4,793 Publications have been cited 39,660 times in 19,928 Documents Cited by Year
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1999
A new chaotic attractor coined. Zbl 1063.34510
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2002
Neural excitability, spiking and bursting. Zbl 1090.92505
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2000
Hilbert’s 16th problem and bifurcations of planar polynomial vector fields. Zbl 1063.34026
Li, Jibin
2003
Bridge the gap between the Lorenz system and the Chen system. Zbl 1043.37026
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2002
One-parameter bifurcations in planar Filippov systems. Zbl 1079.34029
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2003
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
Model reduction for fluids, using balanced proper orthogonal decomposition. Zbl 1140.76443
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Complexity and real computation: A manifesto. Zbl 0872.68036
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1996
Memristor oscillators. Zbl 1165.94300
Itoh, Makoto; Chua, Leon O.
2008
Generating multiscroll chaotic attractors: theories, methods and applications. Zbl 1097.94038
Lü, Jinhu; Chen, Guanrong
2006
Attractors for lattice dynamical systems. Zbl 1091.37515
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2001
Numerical analysis and control of bifurcation problems. I: Bifurcation in finite dimensions. Zbl 0876.65032
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On a generalized Lorenz canonical form of chaotic systems. Zbl 1043.37023
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2002
Bifurcation analysis of Chen’s equation. Zbl 1090.37531
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2000
Bifurcation sets of continuous piecewise linear systems with two zones. Zbl 0996.37065
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1998
Some basic cryptographic requirements for chaos-based cryptosystems. Zbl 1192.94088
Alvarez, Gonzalo; Li, Shujun
2006
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
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1995
Symmetric ciphers based on two-dimensional chaotic maps. Zbl 0935.94019
Fridrich, Jiri
1998
Experimental demonstration of secure communications via chaotic synchronization. Zbl 0875.94134
Kocarev, Lj.; Halle, K. S.; Eckert, K.; Chua, L. O.; Parlitz, U.
1992
Complex networks: Topology, dynamics and synchronization. Zbl 1044.37561
Wang, Xiao Fan
2002
Simple chaotic flows with one stable equilibrium. Zbl 1284.34064
Molaie, Malihe; Jafari, Sajad; Sprott, Julien Clinton; Golpayegani, S. Mohammad Reza Hashemi
2013
The spatial dilemmas of evolution. Zbl 0870.92011
Nowak, Martin A.; May, Robert M.
1993
On a class of singular nonlinear traveling wave equations. Zbl 1158.35080
Li, Jibin; Chen, Guanrong
2007
A simple way to synchronize chaotic systems with applications to secure communication systems. Zbl 0884.94004
Wu, Chai Wah; Chua, Leon O.
1993
A unified framework for synchronization and control of dynamical systems. Zbl 0875.93445
Wu, Chai Wah; Chua, Leon O.
1994
Riddled basins. Zbl 0870.58046
Alexander, J. C.; Yorke, James A.; You, Zhiping; Kan, I.
1992
Global synchronization of coupled delayed neural networks and applications to chaotic CNN models. Zbl 1077.37506
Chen, Guanrong; Zhou, Jin; Liu, Zengrong
2004
Implementing memristor based chaotic circuits. Zbl 1193.94082
Muthuswamy, Bharathwaj
2010
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
Existence results for fractional boundary value problem via critical point theory. Zbl 1258.34015
Jiao, Feng; Zhou, Yong
2012
Numerical analysis and control of bifurcation problems. II: Bifurcation in infinite dimensions. Zbl 0876.65060
Doedel, Eusebius; Keller, Herbert B.; Kernevez, Jean Pierre
1991
Coexisting hidden attractors in a 4-D simplified Lorenz system. Zbl 1296.34111
Li, Chunbiao; Sprott, J. C.
2014
Dynamical analysis of a new chaotic attractor. Zbl 1044.37021
Lü, Jinhu; Chen, Guanrong; Zhang, Suochun
2002
From chaos to order – perspectives and methodologies in controlling chaotic nonlinear dynamical systems. Zbl 0886.58076
Chen, Guanrong; Dong, Xiaoning
1993
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
Transmission of digital signals by chaotic synchronization. Zbl 0870.94011
Parlitz, U.; Chua, L. O.; Kocarev, Lj.; Halle, K. S.; Shang, A.
1992
Families of scroll grid attractors. Zbl 1044.37029
Yalçin, Müştak E.; Suykens, Johan A. K.; Vandewalle, Joos; Özoğuz, Serdar
2002
Bifurcation control: theories, methods, and applications. Zbl 1090.37552
Chen, Guanrong; Moiola, Jorge L.; Wang, Hua O.
2000
A chaotic system with one saddle and two stable node-foci. Zbl 1147.34306
Yang, Qigui; Chen, Guanrong
2008
Bifurcation of limit cycles by perturbing piecewise Hamiltonian systems. Zbl 1193.34082
Liu, Xia; Han, Maoan
2010
Feedback anticontrol of discrete chaos. Zbl 0941.93522
Chen, Guanrong; Lai, Dejian
1998
Memristor cellular automata and memristor discrete-time cellular neural networks. Zbl 1182.37014
Itoh, Makoto; Chua, Leon O.
2009
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
Chimera states in a ring of nonlocally coupled oscillators. Zbl 1101.37319
Abrams, Daniel M.; Strogatz, Steven H.
2006
A numerical toolbox for homoclinic bifurcation analysis. Zbl 0877.65058
Champneys, A. R.; Kuznetsov, Yu. A.; Sandstede, B.
1996
Active control and global synchronization of the complex Chen and Lü systems. Zbl 1146.93372
Mahmoud, Gamal M.; Bountis, Tassos; Mahmoud, Emad E.
2007
New 3D-scroll attractors in hyperchaotic Chua’s circuits forming a ring. Zbl 1057.37026
Cafagna, Donato; Grassi, Giuseppe
2003
Nonlinear time sequence analysis. Zbl 0874.58029
Grassberger, Peter; Schreiber, Thomas; Schaffrath, Carsten
1991
Chen’s attractor exists. Zbl 1129.37326
Zhou, Tianshou; Tang, Yun; Chen, Guanrong
2004
Hyperchaotic attractors of unidirectionally-coupled Chua’s circuits. Zbl 0813.58037
Kapitaniak, Tomasz; Chua, Leon O.
1994
Numerical detection and continuation of codimension-two homoclinic bifurcations. Zbl 0873.34030
Champneys, A. R.; Kuznetsov, Yu. A.
1994
Algorithms and visualization for solutions of nonlinear elliptic equations. Zbl 1090.65549
Chen, Goong; Zhou, Jianxin; Ni, Wei-Ming
2000
Conditions for impulsive synchronization of chaotic and hyperchaotic systems. Zbl 1090.37520
Itoh, Makoto; Yang, Tao; Chua, Leon O.
2001
Hopf bifurcations for near-Hamiltonian systems. Zbl 1183.34054
Han, Maoan; Yang, Junmin; Yu, Pei
2009
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
Hyperchaos in a modified canonical Chua’s circuit. Zbl 1067.94597
Thamilmaran, K.; Lakshmanan, M.; Venkatesan, A.
2004
Bifurcation and chaos in noninteger order cellular neural networks. Zbl 0936.92006
Arena, P.; Caponetto, R.; Fortuna, L.; Porto, D.
1998
On adaptive synchronization and control of nonlinear dynamical systems. Zbl 0875.93182
Wu, Chai Wah; Yang, Tao; Chua, Leon O.
1996
A new chaotic system and its generators. Zbl 1078.37504
Liu, Wenbo; Chen, Guanrong
2003
Steps toward unmasking secure communications. Zbl 0875.94002
Short, Kevin M.
1994
Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication. Zbl 0925.93374
Yang, Tao; Chua, Leon O.
1997
Lévy flight superdiffusion: an introduction. Zbl 1157.82300
Dubkov, A. A.; Spagnolo, B.; Uchaikin, V. V.
2008
Stability and Hopf bifurcation of a delayed prey-predator model with disease in the predator. Zbl 1425.34093
Huang, Chuangxia; Zhang, Hua; Cao, Jinde; Hu, Haijun
2019
An unusual 3D autonomous quadratic chaotic system with two stable node-foci. Zbl 1193.34091
Yang, Qigui; Wei, Zhouchao; Chen, Guanrong
2010
A novel fast image encryption scheme based on 3D chaotic Baker maps. Zbl 1064.94509
Mao, Yaobin; Chen, Guanrong; Lian, Shiguo
2004
Multistability in the Lorenz system: a broken butterfly. Zbl 1302.34015
Li, Chunbiao; Sprott, Julien Clinton
2014
Absolute stability theory and the synchronization problem. Zbl 0910.34054
Curran, P. F.; Chua, L. O.
1997
Feedback control of Lyapunov exponents for discrete-time dynamical systems. Zbl 0875.93157
Chen, Guanrong; Lai, Dejian
1996
Complex dynamical behaviors of the chaotic Chen’s system. Zbl 1046.37018
Zhou, Tianshou; Tang, Yun; Chen, Guanrong
2003
Monodromy and stability for nilpotent critical points. Zbl 1088.34021
Álvarez, M. J.; Gasull, A.
2005
More spatial games. Zbl 0884.90147
Nowak, Martin A.; Bonhoeffer, Sebastian; May, Robert M.
1994
Cycles of chaotic intervals in a time-delayed Chua’s circuit. Zbl 0890.58052
Maistrenko, Yu. L.; Maistrenko, V. L.; Chua, L. O.
1993
Finite difference methods for fractional differential equations. Zbl 1258.34018
Li, Changpin; Zeng, Fanhai
2012
Generalized synchronization of chaos via linear transformations. Zbl 0937.37019
Yang, Tao; Chua, Leon O.
1999
Chaos of travelling waves in a discrete chain of diffusively coupled maps. Zbl 0870.58049
Afraimovich, V. S.; Nekorkin, V. I.
1994
Local bifurcations of the Chen system. Zbl 1047.34044
Lü, Jinhu; Zhou, Tianshou; Chen, Guanrong; Zhang, Suochun
2002
Chaos synchronization of general Lur’e systems via time-delay feedback control. Zbl 1129.93509
Liao, Xiaoxin; Chen, Guanrong
2003
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
Chua’s circuit: Rigorous results and future problems. Zbl 0870.58072
Shil’nikov, Leonid P.
1994
Center-focus problem for discontinuous planar differential equations. Zbl 1077.34031
Gasull, Armengol; Torregrosa, Joan
2003
Volatility effects on the escape time in financial market models. Zbl 1157.91347
Spagnolo, Bernardo; Valenti, Davide
2008
Degenerate bifurcations and border collisions in piecewise smooth 1D and 2D maps. Zbl 1196.37090
Sushko, Iryna; Gardini, Laura
2010
Methods of the qualitative theory for the Hindmarsh–Rose model: a case study. A tutorial. Zbl 1165.34364
Shilnikov, Andrey; Kolomiets, Marina
2008
An adaptive approach to the control and synchronization of continuous-time chaotic systems. Zbl 0900.70413
Di Bernardo, Mario
1996
Experimental chaos synchronization in Chua’s circuit. Zbl 0875.94133
Chua, Leon O.; Kocarev, Ljupco; Eckert, Kevin; Itoh, Makoto
1992
Hidden hyperchaotic attractors in a modified Lorenz-Stenflo system with only one stable equilibrium. Zbl 1302.34017
Wei, Zhouchao; Zhang, Wei
2014
Three-dimensional Hénon-like maps and wild Lorenz-like attractors. Zbl 1097.37023
Gonchenko, S. V.; Ovsyannikov, I. I.; Simó, C.; Turaev, D.
2005
Constructing a novel no-equilibrium chaotic system. Zbl 1296.34114
Pham, Viet-Thanh; Volos, Christos; Jafari, Sajad; Wei, Zhouchao; Wang, Xiong
2014
The multifractal formalism revisited with wavelets. Zbl 0807.58032
Muzy, J. F.; Bacry, E.; Arneodo, A.
1994
Finite difference schemes for variable-order time fractional diffusion equation. Zbl 1258.65079
Sun, Hongguang; Chen, Wen; Li, Changpin; Chen, Yangquan
2012
A unified Lorenz-type system and its canonical form. Zbl 1185.37088
Yang, Qigui; Chen, Guangrong; Zhou, Tianshou
2006
The response of a nonlinear system with a nonsemisimple one-to-one resonance to a combination parametric resonance. Zbl 0919.73156
Chin, C.; Nayfeh, A. H.; Mook, D. T.
1995
Normal forms and Lorenz attractors. Zbl 0885.58080
Shil’nikov, A. L.; Shil’nikov, L. P.; Turaev, D. V.
1993
Twelve limit cycles in a cubic case of the 16th Hilbert problem. Zbl 1092.34524
Yu, P.; Han, M.
2005
CNN: A vision of complexity. Zbl 0901.68138
Chua, Leon O.
1997
Classification of chaos in 3-D autonomous quadratic systems. I. Basic framework and methods. Zbl 1185.37092
Zhou, Tianshou; Chen, Guangrong
2006
Stability and bifurcation in a Leslie-Gower predator-prey model with Allee effect. Zbl 07491283
Zhu, Zhenliang; Chen, Yuming; Li, Zhong; Chen, Fengde
2022
Stability and bifurcation analysis for a nitrogen-fixing evolutionary game with environmental feedback and discrete delays. Zbl 07491267
Cheng, Haihui; Meng, Xinzhu; Hayat, Tasawar; Hobiny, Aatef; Zhang, Tonghua
2022
Limit cycles of continuous piecewise differential systems formed by linear and quadratic isochronous centers I. Zbl 07491221
Ghermoul, Bilal; Llibre, Jaume; Salhi, Tayeb
2022
Multiple bifurcations of a discrete-time prey-predator model with mixed functional response. Zbl 1489.92123
2022
A conservative memristive system with amplitude control and offset boosting. Zbl 07515533
Zhang, Xin; Li, Chunbiao; Dong, Enzeng; Zhao, Yibo; Liu, Zuohua
2022
Oscillatory and stationary patterns in a diffusive model with delay effect. Zbl 1461.35031
Guo, Shangjiang; Li, Shangzhi; Sounvoravong, Bounsanong
2021
Coexisting infinite equilibria and chaos. Zbl 1469.34060
Li, Chunbiao; Peng, Yuxuan; Tao, Ze; Sprott, Julien Clinton; Jafari, Sajad
2021
A unified chaotic system with various coexisting attractors. Zbl 1462.37041
Lai, Qiang
2021
Global dynamics of a Holling-II amensalism system with nonlinear growth rate and Allee effect on the first species. Zbl 1460.92173
Luo, Demou; Wang, Qiru
2021
Minimal universal model for chaos in laser with feedback. Zbl 1464.37088
Meucci, Riccardo; Euzzor, Stefano; Tito Arecchi, F.; Ginoux, Jean-Marc
2021
The generalization of the periodic orbit dividing surface in Hamiltonian systems with three or more degrees of freedom. I. Zbl 1479.37085
Katsanikas, Matthaios; Wiggins, Stephen
2021
Global dynamics of an ecosystem in open advective environments. Zbl 1466.92232
Nie, Hua; Liu, Chenrui; Wang, Zhiguo
2021
Dynamics of a food chain model with two infected predators. Zbl 1459.92160
Meng, Xin-You; Qin, Ni-Ni; Huo, Hai-Feng
2021
Rare energy-conservative attractors on global invariant hypersurfaces and their multistability. Zbl 1465.34019
Hu, Jianbing; Qi, Guoyuan; Wang, Ze; Chen, Guanrong
2021
Stability and bifurcation in an SI epidemic model with additive Allee effect and time delay. Zbl 1460.92211
Lv, Yangyang; Chen, Lijuan; Chen, Fengde; Li, Zhong
2021
Fear induced multistability in a predator-prey model. Zbl 1475.37103
Pati, N. C.; Garai, Shilpa; Hossain, Mainul; Layek, G. C.; Pal, Nikhil
2021
The bifurcations of the critical points and the role of depth in a symmetric Caldera potential energy surface. Zbl 1481.37056
Geng, Y.; Katsanikas, M.; Agaoglou, M.; Wiggins, S.
2021
The generalization of the periodic orbit dividing surface for Hamiltonian systems with three or more degrees of freedom – II. Zbl 1481.37070
Katsanikas, Matthaios; Wiggins, Stephen
2021
Stability and bifurcation analysis of a commensal model with additive Allee effect and nonlinear growth rate. Zbl 1472.92191
Wei, Zhen; Xia, Yonghui; Zhang, Tonghua
2021
Bifurcation of dividing surfaces constructed from a pitchfork bifurcation of periodic orbits in a symmetric potential energy surface with a post-transition-state bifurcation. Zbl 1485.37054
Katsanikas, M.; Agaoglou, M.; Wiggins, S.
2021
Complex dynamics of a Filippov three-species food chain model. Zbl 1469.37060
Hamdallah, Soliman A. A.; Arafa, Ayman A.; Tang, Sanyi; Xu, Yong
2021
Fast-slow variable dissection with two slow variables: a case study on bifurcations underlying bursting for seizure and spreading depression. Zbl 1466.92038
Ma, Kaihua; Gu, Huaguang; Zhao, Zhiguo
2021
Complex dynamics and periodic oscillation mechanism in two novel gene expression models with state-dependent delays. Zbl 1481.34098
Wang, Shuo; Pei, Lijun
2021
Presence of megastability and infinitely many equilibria in a periodically and quasi-periodically excited single-link manipulator. Zbl 1469.34068
Singh, Jay Prakash; Koley, Jit; Lochan, Kshetrimayum; Roy, Binoy Krishna
2021
Pseudo-Hopf bifurcation for a class of 3D Filippov linear systems. Zbl 1485.34115
Islas, José Manuel; Castillo, Juan; Aguirre-Hernandez, Baltazar; Verduzco, Fernando
2021
Dynamics of infectious diseases: local versus global awareness. Zbl 1471.34102
Tiwari, Pankaj Kumar; Rai, Rajanish Kumar; Misra, Arvind Kumar; Chattopadhyay, Joydev
2021
Complex behavior of a hyperchaotic TNC oscillator: coexisting bursting, space magnetization, control of multistability and application in image encryption based on DNA coding. Zbl 1472.34068
Tagne Mogue, R. L.; Folifack Signing, V. R.; Kengne, J.; Kountchou, M.; Njitacke, Z. T.
2021
Torus-breakdown near a heteroclinic attractor: a case study. Zbl 1479.37052
Castro, Luísa; Rodrigues, Alexandre
2021
Constructing keyed strong S-Box using an enhanced quadratic map. Zbl 1472.94064
Si, Yuanyuan; Liu, Hongjun; Chen, Yuehui
2021
Stability and bifurcations of equilibria in networks with piecewise linear interactions. Zbl 1479.37046
Duncan, William; Gedeon, Tomas
2021
Extreme multistability and antimonotonicity in a Shinriki oscillator with two flux-controlled memristors. Zbl 1478.34060
Min, Fuhong; Cheng, Yizi; Lu, Lei; Li, Xinya
2021
Planar Kolmogorov systems coming from spatial Lotka-Volterra systems. Zbl 1490.34030
Diz-Pita, Érika; Llibre, Jaume; Otero-Espinar, M. Victoria
2021
Discrete chaotification of a modulated logistic system. Zbl 1471.39014
Ashish; Cao, Jinde; Chugh, Renu
2021
A new memristive chaotic system with a plane and two lines of equilibria. Zbl 1469.34070
Wang, Zhen; Khalaf, Abdul Jalil M.; Jafari, Sajad; Panahi, Shirin; Li, Chunbiao; Hussain, Iqtadar
2021
Jacobi stability analysis and the onset of chaos in a two-degree-of-freedom mechanical system. Zbl 1483.70041
Wang, Fanrui; Liu, Ting; Kuznetsov, Nikolay V.; Wei, Zhouchao
2021
Effect of self feedback on mean-field coupled oscillators: revival and quenching of oscillations. Zbl 1467.93108
Chakraborty, Saumen; Dandapathak, Manaj; De Sarkar, Saumendra Sankar
2021
Generalized Lorenz canonical form revisited. Zbl 1467.93048
Čelikovský, Sergej; Chen, Guanrong
2021
Two-dimensional manifolds of controlled Chen system. Zbl 1467.93151
Ma, Suqi
2021
Complex bursting patterns in a van der Pol-Mathieu-Duffing oscillator. Zbl 1469.34054
Ma, Xindong; Song, Jin; Wei, Mengke; Han, Xiujing; Bi, Qinsheng
2021
Stochastic simulation on a minimal model of cancer immunoediting theory. Zbl 1462.92028
Núñez-López, Mayra; Hernández-López, Eymard; Delgado, Joaquín
2021
Limit cycles of planar piecewise smooth quadratic systems with focus-parabolic type critical points. Zbl 1480.34014
Sun, Liping; Du, Zhengdong
2021
Complexity and control of multichannel supply chain under carbon tax policy. Zbl 1466.90014
Tian, Yi; Ma, Junhai; Wang, Zongxian; Xie, Lei
2021
Quasiperiodic-chaotic neural networks and short-term analog memory. Zbl 1462.37101
Ichinose, Natsuhiro
2021
Time-delayed sampled-data feedback control of differential systems undergoing Hopf bifurcation. Zbl 1459.93102
Su, Huan; Xu, Jing
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
A simple guide for plotting a proper bifurcation diagram. Zbl 1469.37058
2021
Recurrent misconceptions in the study of CA reversibility on triangular grids. Zbl 07321545
Wolnik, Barbara; Dziemiańczuk, Maciej; De Baets, Bernard
2021
Codimension-one and -two bifurcations of a three-dimensional discrete game model. Zbl 1462.39014
Eskandari, Zohreh; Alidousti, Javad; Ghaziani, Reza Khoshsiar
2021
Stability and bifurcation analysis in a predator-prey model with age structure and two delays. Zbl 1461.35203
Wang, Yujia; Fan, Dejun; Wei, Junjie
2021
Quadratic differential systems with a finite saddle-node and an infinite saddle-node $$(1,1)SN$$-(A). Zbl 1477.34054
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
Uniform persistence and periodic solutions of generalized predator-prey type eco-epidemiological systems. Zbl 1464.34071
Sun, Mengfeng; Chen, Guoting; Fu, Xinchu
2021
Hopf bifurcation in a delayed single species network system. Zbl 1461.35036
Wu, Ranchao; Zhang, Chuanying; Feng, Zhaosheng
2021
Nonlinear phenomena in axially moving beams with speed-dependent tension and tension-dependent speed. Zbl 1462.74078
Chen, Ling; Tang, You-Qi; Liu, Shuang; Zhou, Yuan; Liu, Xing-Guang
2021
Evolutionary dynamics of cooperation in a corrupt society with anti-corruption control. Zbl 1460.91207
Liu, Linjie; Chen, Xiaojie
2021
Effect of a mode of update on universality class for coupled logistic maps: directed Ising to Ising class. Zbl 1467.82044
Deshmukh, Ankosh D.; Shambharkar, Nitesh D.; Gade, Prashant M.
2021
Complex dynamics of an eco-epidemic system with disease in prey species. Zbl 1460.92180
Shaikh, Absos Ali; Das, Harekrishna; Ali, Nijamuddin
2021
Bifurcation and chaos of spontaneous oscillations of hair bundles in auditory hair cells. Zbl 07331764
Cao, Ben; Gu, Huaguang; Bai, Jiawei; Wu, Fuqiang
2021
Bifurcations in a predator-prey model of Leslie-type with simplified Holling type IV functional response. Zbl 1458.92071
Zhang, Jun; Su, Juan
2021
Stability and bifurcation analysis of a prey-predator model. Zbl 1465.92097
Mishra, T. N.; Tiwari, B.
2021
Coexisting hidden and self-excited attractors in an economic model of integer or fractional order. Zbl 1464.37090
Danca, Marius-F.
2021
On existence and bifurcations of periodic motions in discontinuous dynamical systems. Zbl 1464.37051
Guo, Siyu; Luo, Albert C. J.
2021
Boundedness of a class of complex Lorenz systems. Zbl 1471.34036
Zhang, Xu
2021
Analysis of geometric invariants for three types of bifurcations in 2D differential systems. Zbl 1471.34070
Liu, Yongjian; Li, Chunbiao; Liu, Aimin
2021
Investigation on the running-in quality at different rotating speeds by chaos theory. Zbl 1486.74076
Ding, Cong; Zhou, Zhenyu; Piao, Zhongyu
2021
Slow-fast behaviors and their mechanism in a periodically excited dynamical system with double Hopf bifurcations. Zbl 1477.70040
Zhang, Miaorong; Zhang, Xiaofang; Bi, Qinsheng
2021
Sliding dynamics and bifurcations in the extended nonsmooth Filippov ecosystem. Zbl 1471.34098
Qin, Wenjie; Tan, Xuewen; Shi, Xiaotao; Tosato, Marco; Liu, Xinzhi
2021
Breaking the symmetry in queues with delayed information. Zbl 1470.90023
Doldo, Philip; Pender, Jamol; Rand, Richard
2021
Retardational effect and Hopf bifurcations in a new attitude system of quad-rotor unmanned aerial vehicle. Zbl 07383087
2021
Complex dynamics in a closed-loop supply chain with risk aversion and fairness concerns under supply disruption. Zbl 1470.90008
Zhang, Yuhao; Zhang, Tao
2021
Chaotic dynamics of partial difference equations with polynomial maps. Zbl 1471.39015
Guo, Haihong; Liang, Wei
2021
Bifurcation in a new fractional model of cerebral aneurysm at the circle of Willis. Zbl 1470.92070
Cui, Zhoujin; Shi, Min; Wang, Zaihua
2021
Limit cycles in discontinuous planar piecewise linear systems separated by a nonregular line of center-center type. Zbl 1479.34061
Zhao, Qianqian; Wang, Cheng; Yu, Jiang
2021
Stability and Hopf bifurcation analysis of a reduced Gierer-Meinhardt model. Zbl 1473.35030
Asheghi, Rasoul
2021
Nonlinear dynamics of suspended cables under periodic excitation in thermal environments: two-to-one internal resonance. Zbl 1487.74056
Zhao, Yaobing; Lin, Henghui
2021
Bifurcation analysis of a delay-induced predator-prey model with Allee effect and prey group defense. Zbl 1471.92274
Ye, Yong; Zhao, Yi
2021
Limit cycles from perturbing a piecewise smooth system with a center and a homoclinic loop. Zbl 1489.34050
Ke, Ai; Han, Maoan
2021
Synchronization and pattern formation in a memristive diffusive neuron model. Zbl 1471.92078
Sharma, Sanjeev Kumar; Mondal, Arnab; Mondal, Argha; Upadhyay, Ranjit Kumar; Ma, Jun
2021
Nonlinear stability of equilibrium points in the planar equilateral restricted mass-unequal four-body problem. Zbl 1477.70019
Zepeda Ramírez, José Alejandro; Alvarez-Ramírez, Martha; García, Antonio
2021
Steady-state problem of an S-K-T competition model with spatially degenerate coefficients. Zbl 1479.35376
Zhou, Hao; Wang, Yu-Xia
2021
Artificial intelligence, chaos, prediction and understanding in science. Zbl 1479.37088
Sanjuán, Miguel A. F.
2021
Stochastic bifurcations of a fractional-order vibro-impact oscillator subjected to colored noise excitation. Zbl 1480.34007
Sun, Ya-Hui; Yang, Yong-Ge; Hong, Ling; Xu, Wei
2021
Dynamics of a DC motor-driving arm with a circular periodic potential and DC/AC voltage input. Zbl 1477.70005
Kouam Tagne, R. F.; Fotsa, R. Tsapla; Woafo, P.
2021
Coexisting infinitely many nonchaotic attractors in a memristive weight-based tabu learning neuron. Zbl 1480.34061
Hou, Liping; Bao, Han; Xu, Quan; Chen, Mo; Bao, Bocheng
2021
Self-organization in a plankton community with herd predation and weakly nonlinear diffusion. Zbl 1472.92254
Liu, Zhi-Bin; Liu, Shutang; Wang, Wen; Tian, Da-Dong
2021
Ambient backscatter communication design over DCSK signals. Zbl 1476.94007
Luo, Ronghua; Yang, Hua; Shi, Hua; Lei, Jun
2021
A stochastic hierarchical population system: excitement, extinction and transition to chaos. Zbl 1484.34112
Bashkirtseva, Irina; Perevalova, Tatyana; Ryashko, Lev
2021
Complex dynamics of a four-dimensional circuit system. Zbl 1484.34122
Wang, Haijun; Fan, Hongdan; Pan, Jun
2021
Predator-prey system: bachelor herding of the prey imposes ecological constraints on predation. Zbl 1478.92158
Kaushik, Rajat; Banerjee, Sandip
2021
Controlling infectious diseases: the decisive phase effect on a seasonal vaccination strategy. Zbl 1478.92114
Duarte, Jorge; Januário, Cristina; Martins, Nuno; Seoane, Jesús M.; Sanjuán, Miguel A. F.
2021
Analysis and modeling of nonlinear effects in constant-frequency peak-current control. Zbl 1478.93438
Glišić, Marija; Pejović, Predrag
2021
Stability and Hopf bifurcation of a stage-structured cannibalism model with two delays. Zbl 07491238
Zheng, Tao; Zhang, Long; Luo, Yantao; Zhou, Xinran; Li, Hong-Li; Teng, Zhidong
2021
Spatio-temporal patterns of predator-prey model with Allee effect and constant stocking rate for predator. Zbl 1486.35038
Tian, Xuan; Guo, Shangjiang
2021
Stability and bifurcation in a predator-prey system with prey-taxis. Zbl 1435.35395
Qiu, Huanhuan; Guo, Shangjiang; Li, Shangzhi
2020
Limit cycles induced by threshold nonlinearity in planar piecewise linear systems of node-focus or node-center type. Zbl 1478.34037
Wang, Jiafu; He, Su; Huang, Lihong
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
Hopf bifurcation for semilinear FDEs in general Banach spaces. Zbl 1447.35038
Li, Shangzhi; Guo, Shangjiang
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
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
Four-wing hidden attractors with one stable equilibrium point. Zbl 1446.34023
Deng, Quanli; Wang, Chunhua; Yang, Linmao
2020
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### Cited by 20,956 Authors

 314 Chen, Guanrong 245 Llibre, Jaume 150 Han, Maoan 126 Li, Jibin 123 Cao, Jinde 114 Yu, Pei 93 Chua, Leon Ong 93 Wang, Xingyuan 90 Gardini, Laura 88 Jafari, Sajad 81 Pham, Viet-Thanh 80 Liao, Xiaofeng 79 Kurths, Jürgen 77 Vaidyanathan, Sundarapandian 72 Valls Anglés, Cláudia 71 Sprott, Julien Clinton 70 Zhang, Wei 68 Yang, Xiaosong 67 Xu, Wei 66 Algaba, Antonio 61 Aihara, Kazuyuki 57 Yang, Qigui 56 Leonov, Gennadiĭ Alekseevich 54 Kapitaniak, Tomasz 53 Giné, Jaume 53 Kuznetsov, Nikolay Vladimirovich 53 Wei, Junjie 52 Guo, Shangjiang 50 Ryashko, Lev Borisovich 49 Kumar Upadhyay, Ranjit 48 Bashkirtseva, Irina Adol’fovna 48 Huang, Lihong 48 Kashchenko, Sergeĭ Aleksandrovich 48 Rajagopal, Karthikeyan 48 Wei, Zhouchao 47 Grassi, Giuseppe 47 Lu, Junan 46 Bi, Qinsheng 46 Zhang, Tonghua 45 Avrutin, Viktor 45 Gasull, Armengol 45 Liu, Yirong 45 Lu, Jinhu 45 Luo, Albert C. J. 45 Rodríguez-Luis, Alejandro J. 44 Krauskopf, Bernd 44 Liu, Xinzhi 43 Li, Chuandong 43 Osinga, Hinke Maria 43 Sanjuán, Miguel A. F. 43 Valero, José 42 Liu, Shutang 42 Qi, Guoyuan 41 Danca, Marius-Florin 41 Li, Changpin 41 Ouannas, Adel 40 Ponce, Enrique 40 Wang, Bixiang 39 Chen, Zengqiang 39 Volos, Christos K. 39 Wang, Zhen 39 Zhou, Shengfan 38 Sun, Ji Tao 38 Torregrosa, Joan 37 Freire Macías, Emilio 37 Letellier, Christophe 37 Li, Chunbiao 37 Zhang, Fuchen 36 Xia, Yonghui 35 Andres, Jan 35 Awrejcewicz, Jan 35 Billings, Stephen A. 35 Park, Juhyun (Jessie) 35 Wu, Ranchao 34 Bao, Bocheng 34 Caraballo Garrido, Tomás 34 Feng, Zhaosheng 34 Huang, Wentao 34 Kengne, Jacques 34 Lu, Jianquan 34 Teixeira, Marco Antonio 34 Wiggins, Stephen 33 Fang, Jian’an 33 Grebogi, Celso 33 Xu, Jian 32 Kloeden, Peter Eris 32 Kuznetsov, Sergey P. 32 Liu, Zhengrong 32 Ma, Jun 32 Mosekilde, Erik 32 Simpson, David John Warwick 32 Song, Yongli 32 Xiong, Yanqin 32 Zhang, Xiang 31 Aguirre, Luis Antonio 31 Ashwin, Peter 31 Fu, Xinchu 31 Guan, Zhihong 31 Huang, Tingwen 31 Ma, Junhai ...and 20,856 more Authors
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### Cited in 785 Journals

 3,629 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1,616 Chaos, Solitons and Fractals 1,009 Chaos 902 Nonlinear Dynamics 601 Physica D 585 Communications in Nonlinear Science and Numerical Simulation 523 Applied Mathematics and Computation 317 Journal of Mathematical Analysis and Applications 272 Journal of Differential Equations 259 Physica A 256 Advances in Difference Equations 230 Mathematical Problems in Engineering 209 Nonlinear Analysis. Real World Applications 206 Discrete Dynamics in Nature and Society 202 Journal of the Franklin Institute 202 Discrete and Continuous Dynamical Systems. Series B 175 Abstract and Applied Analysis 165 Qualitative Theory of Dynamical Systems 163 Journal of Difference Equations and Applications 160 Complexity 154 Mathematics and Computers in Simulation 149 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 136 Journal of Computational and Applied Mathematics 133 SIAM Journal on Applied Dynamical Systems 132 Applied Mathematical Modelling 121 Computers & Mathematics with Applications 117 Neural Networks 116 Journal of Theoretical Biology 112 Physics Letters. A 106 Automatica 101 Journal of Fluid Mechanics 97 Journal of Dynamics and Differential Equations 97 Discrete and Continuous Dynamical Systems 96 Journal of Nonlinear Science 96 Dynamical Systems 88 Journal of Applied Analysis and Computation 87 Regular and Chaotic Dynamics 86 International Journal of Modern Physics B 80 Fractals 74 Mathematical Biosciences and Engineering 71 International Journal of Control 66 Journal of Mathematical Biology 66 Mathematical Biosciences 65 Nonlinearity 64 Bulletin of Mathematical Biology 62 Applied Mathematics Letters 60 Celestial Mechanics and Dynamical Astronomy 59 Journal of Computational Physics 59 Proceedings of the American Mathematical Society 58 International Journal of Biomathematics 57 Information Sciences 56 Journal of Mathematical Physics 55 Biological Cybernetics 55 Nonlinear Analysis. Hybrid Systems 54 Mathematical and Computer Modelling 54 Journal of Applied Mathematics 53 Topology and its Applications 53 Neural Computation 52 Advances in Mathematical Physics 51 Mathematical Methods in the Applied Sciences 50 Ergodic Theory and Dynamical Systems 44 Journal of Applied Mathematics and Computing 43 Discrete and Continuous Dynamical Systems. Series S 42 International Journal of Modern Physics C 40 International Journal of Computer Mathematics 39 Journal of Statistical Physics 39 Systems & Control Letters 39 Physics of Fluids 39 Bulletin des Sciences Mathématiques 39 Nonlinear Analysis. Modelling and Control 38 Doklady Mathematics 38 Journal of Vibration and Control 37 International Journal of Systems Science. Principles and Applications of Systems and Integration 36 Acta Mechanica 36 Computer Methods in Applied Mechanics and Engineering 36 Differential Equations and Dynamical Systems 36 Differential Equations 35 International Journal of Systems Science 35 Circuits, Systems, and Signal Processing 35 Acta Applicandae Mathematicae 35 Computational and Applied Mathematics 34 Transactions of the American Mathematical Society 34 Applied Mathematics and Mechanics. (English Edition) 34 Acta Mathematicae Applicatae Sinica. English Series 34 Journal of Mathematical Sciences (New York) 34 Stochastics and Dynamics 34 Asian Journal of Control 33 Applicable Analysis 33 International Journal of Circuit Theory and Applications 32 Foundations of Computational Mathematics 31 Meccanica 31 Journal of Computational Neuroscience 30 AIMS Mathematics 29 Communications on Pure and Applied Analysis 29 Journal of Applied Nonlinear Dynamics 28 ZAMP. Zeitschrift für angewandte Mathematik und Physik 28 Fractional Calculus & Applied Analysis 28 Acta Mathematica Sinica. English Series 28 International Journal of Nonlinear Sciences and Numerical Simulation 27 Modern Physics Letters B ...and 685 more Journals
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### Cited in 62 Fields

 8,447 Dynamical systems and ergodic theory (37-XX) 7,900 Ordinary differential equations (34-XX) 3,805 Biology and other natural sciences (92-XX) 3,234 Systems theory; control (93-XX) 2,092 Partial differential equations (35-XX) 1,483 Information and communication theory, circuits (94-XX) 1,359 Numerical analysis (65-XX) 1,250 Mechanics of particles and systems (70-XX) 790 Computer science (68-XX) 713 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 615 Fluid mechanics (76-XX) 548 Statistical mechanics, structure of matter (82-XX) 538 Probability theory and stochastic processes (60-XX) 510 Mechanics of deformable solids (74-XX) 509 Difference and functional equations (39-XX) 379 Real functions (26-XX) 321 Statistics (62-XX) 308 Operations research, mathematical programming (90-XX) 306 Operator theory (47-XX) 227 Measure and integration (28-XX) 223 Combinatorics (05-XX) 197 General topology (54-XX) 188 Optics, electromagnetic theory (78-XX) 186 Calculus of variations and optimal control; optimization (49-XX) 157 Quantum theory (81-XX) 139 Geophysics (86-XX) 133 Global analysis, analysis on manifolds (58-XX) 130 Functions of a complex variable (30-XX) 88 Classical thermodynamics, heat transfer (80-XX) 77 Integral equations (45-XX) 68 Linear and multilinear algebra; matrix theory (15-XX) 59 Mathematical logic and foundations (03-XX) 59 Algebraic geometry (14-XX) 57 Approximations and expansions (41-XX) 53 Differential geometry (53-XX) 52 Harmonic analysis on Euclidean spaces (42-XX) 50 Number theory (11-XX) 49 Special functions (33-XX) 44 Astronomy and astrophysics (85-XX) 41 Functional analysis (46-XX) 37 General and overarching topics; collections (00-XX) 32 History and biography (01-XX) 30 Manifolds and cell complexes (57-XX) 28 Relativity and gravitational theory (83-XX) 26 Several complex variables and analytic spaces (32-XX) 21 Commutative algebra (13-XX) 20 Group theory and generalizations (20-XX) 19 Field theory and polynomials (12-XX) 19 Convex and discrete geometry (52-XX) 14 Algebraic topology (55-XX) 13 Topological groups, Lie groups (22-XX) 13 Integral transforms, operational calculus (44-XX) 11 Nonassociative rings and algebras (17-XX) 9 Potential theory (31-XX) 8 Geometry (51-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Abstract harmonic analysis (43-XX) 5 Mathematics education (97-XX) 4 Sequences, series, summability (40-XX) 2 Category theory; homological algebra (18-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX)