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Author ID: glass.leon Recent zbMATH articles by "Glass, Leon"
Published as: Glass, Leon; Glass, L.

Publications by Year

Citations contained in zbMATH Open

58 Publications have been cited 1,872 times in 1,602 Documents Cited by Year
Oscillation and chaos in physiological control systems. Zbl 1383.92036
Mackey, M. C.; Glass, L.
902
1977
From clocks to chaos. The rhythms of life. Zbl 0705.92004
Glass, Leon; Mackey, Michael C.
225
1988
Stable oscillations in mathematical models of biological control systems. Zbl 0391.92001
Glass, Leon; Pasternack, Joel S.
73
1978
Pathological conditions resulting from instabilities in physiological control systems. Zbl 0427.92004
Glass, Leon; Mackey, Michael C.
53
1979
Understanding nonlinear dynamics. Zbl 0823.34002
Kaplan, Daniel; Glass, Leon
52
1995
Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias. Zbl 0489.92007
Guevara, Michael R.; Glass, Leon
47
1982
Combinatorial explosion in model gene networks. Zbl 1033.92014
Edwards, R.; Glass, L.
36
2000
Chaos in high-dimensional neural and gene networks. Zbl 0890.58054
Mestl, Thomas; Lemay, Chris; Glass, Leon
34
1996
A simple model for phase locking of biological oscillators. Zbl 0397.92006
Glass, Leon; Mackey, Michael C.
34
1979
Chaos in neurobiology. Zbl 0543.92006
Guevara, Michael R.; Glass, Leon; Mackey, Michael C.; Shrier, Alvin
28
1983
Cardiac arrythmias and circle maps – a classical problem. Zbl 0900.92093
Glass, Leon
25
1991
A delay equation representation of pulse circulation on a ring in excitable media. Zbl 0859.35052
Courtemanche, Marc; Keener, James P.; Glass, Leon
24
1996
Coarse-grained embeddings of time series: Random walks, Gaussian random processes, and deterministic chaos. Zbl 0773.58016
Kaplan, Daniel T.; Glass, Leon
21
1993
Universality and self-similarity in the bifurcations of circle maps. Zbl 0593.58030
Bélair, Jacques; Glass, Leon
19
1985
Bifurcations in flat-topped maps and the control of cardiac chaos. Zbl 0877.92007
Glass, Leon; Zeng, Wanzhen
18
1994
Nonlinear dynamics in physiology and medicine. Zbl 1050.92013
18
2003
Steady states, limit cycles, and chaos in models of complex biological networks. Zbl 0900.92006
Lewis, John E.; Glass, Leon
16
1991
Global bifurcations of a periodically forced nonlinear oscillator. Zbl 0573.92005
Keener, James P.; Glass, Leon
16
1984
Time delays, oscillations, and chaos in physiological control systems. Zbl 0649.92008
Glass, Leon; Beuter, Anne; Larocque, David
16
1988
There is a theory of heart. Zbl 0698.92005
Glass, Leon; Hunter, P.
15
1990
Theory of reentrant excitation in a ring of cardiac tissue. Zbl 0780.92014
Ito, Hiroyuki; Glass, Leon
13
1992
Introduction to focus issue: quantitative approaches to genetic networks. Zbl 1331.92049
Albert, Réka; Collins, James J.; Glass, Leon
13
2013
Evolving complex dynamics in electronic models of genetic networks. Zbl 1080.92515
Mason, Jonathan; Linsay, Paul S.; Collins, J. J.; Glass, Leon
12
2004
A circle map in a human heart. Zbl 0684.92003
Courtemanche, M.; Glass, L.; Bélair, J.; Scagliotti, D.; Gordon, D.
10
1989
Nonlinear dynamics, chaos and complex cardiac arrhythmias. Zbl 0626.92001
Glass, L.; Goldberger, A. L.; Courtemanche, M.; Shrier, A.
10
1987
Symbolic dynamics and skeletons of circle maps. Zbl 0820.58015
Zeng, Wan-Zhen; Glass, Leon
9
1989
The shape of phase-resetting curves in oscillators with a saddle node on an invariant circle bifurcation. Zbl 1268.92016
Ermentrout, G. Bard; Glass, Leon; Oldeman, Bart E.
9
2012
Bifurcation structures in two-dimensional maps: the endoskeletons of shrimps. Zbl 1290.37026
Façanha, Wilson; Oldeman, Bart; Glass, Leon
8
2013
Apparent discontinuities in the phase-resetting response of cardiac pacemakers. Zbl 1447.92199
Krogh-Madsen, T.; Glass, L.; Doedel, E. J.; Guevara, M. R.
8
2004
Bifurcations in a discontinuous circle map: A theory for a chaotic cardiac arrhythmia. Zbl 0885.92025
Bub, Gil; Glass, Leon
8
1995
Dynamics in high-dimensional model gene networks. Zbl 1144.37467
Kappler, K.; Edwards, R.; Glass, L.
8
2003
Robust dynamics in minimal hybrid models of genetic networks. Zbl 1211.37115
Perkins, Theodore J.; Wilds, Roy; Glass, Leon
7
2010
Chaotic dynamics in an electronic model of a genetic network. Zbl 1091.37026
Glass, Leon; Perkins, Theodore J.; Mason, Jonathan; Siegelmann, Hava T.; Edwards, Roderick
7
2005
The role of heterogeneities and intercellular coupling in wave propagation in cardiac tissue. Zbl 1152.92328
Steinberg, Benjamin E.; Glass, Leon; Shrier, Alvin; Bub, Gil
6
2006
A combinatorial analogue of the Poincaré index theorem. Zbl 0264.05112
Glass, Leon
6
1973
An atlas of robust, stable, high-dimensional limit cycles. Zbl 1183.34043
Robust, Roy; Glass, Leon
6
2009
Dynamical disease: mathematical analysis of human illness. Papers based on a NATO advanced research workshop, Mont Tremblant, Canada, February 1994.Reprinted from the journal Chaos 5, No. 1 (1995). Reprinted from the journal Chaos 5, No. 1 (1995). Zbl 0862.92013
5
1995
Inferring models of gene expression dynamics. Zbl 1447.92148
Perkins, Theodore J.; Hallett, Mike; Glass, Leon
5
2004
Spiral wave dynamics in excitable media with spherical geometries. Zbl 1151.35391
Rohlf, Katrin; Glass, Leon; Kapral, Raymond
5
2006
Hybrid models of genetic networks: mathematical challenges and biological relevance. Zbl 1406.92241
Glass, Leon; Edwards, Roderick
5
2018
Parkinsonian tremor and simplification in network dynamics. Zbl 1323.92044
Edwards, Roderick; Beuter, Anne; Glass, Leon
4
1999
Scroll waves in spherical shell geometries. Zbl 1080.92500
Chávez, Francisco; Kapral, Raymond; Rousseau, Guillaume; Glass, Leon
4
2001
A mathematical model of human atrioventricular nodal function incorporating concealed conduction. Zbl 1334.92092
Jørgensen, Peter; Schäfer, Carsten; Guerra, Peter G.; Talajic, Mario; Nattel, Stanley; Glass, Leon
3
2002
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.
3
2021
Dynamics in genetic networks. Zbl 1327.92032
Edwards, Roderick; Glass, Leon
3
2014
Chaotic dynamics and diffusion in a piecewise linear equation. Zbl 1374.92048
Shahrear, Pabel; Glass, Leon; Edwards, Rod
3
2015
Continuity of resetting curves for FitzHugh-Nagumo equations on the circle. Zbl 0918.35014
Gedeon, Tomáš; Glass, Leon
3
1999
Stochastic aspects of cardiac arrhythmias. Zbl 1115.92031
Lerma, Claudia; Krogh-Madsen, Trine; Guevara, Michael; Glass, Leon
3
2007
Dynamics in piecewise linear and continuous models of complex switching networks. Zbl 07313344
Shahrear, Pabel; Glass, Leon; Wilds, Roy; Edwards, Rod
3
2015
A topological theorem for nonlinear dynamics in chemical and ecological networks. Zbl 0309.92006
Glass, Leon
2
1975
Nonlinear dynamics of physiological function and control. Zbl 0900.92063
Glass, Leon
2
1991
Dynamical disease - the impact of nonlinear dynamics and chaos on cardiology and medicine. Zbl 0877.92018
Glass, Leon
1
1995
Bifurcations in a periodically stimulated limit cycle oscillator with finite relaxation times. Zbl 1376.34039
Langfield, Peter; Façanha, Wilson L. C.; Oldeman, Bart; Glass, Leon
1
2017
Functional characterization of oscillatory and excitable media. Zbl 1334.92070
Glass, Leon; Shrier, Alvin
1
2015
Double-wave reentry in excitable media. Zbl 1420.92013
Cytrynbaum, Eric N.; Mackay, Vincent; Nahman-Lévesque, Olivier; Dobbs, Matt; Bub, Gil; Shrier, Alvin; Glass, Leon
1
2019
A model for mechano-electrical feedback effects on atrial flutter interval variability. Zbl 1142.92018
Masé, Michela; Glass, Leon; Ravelli, Flavia
1
2008
Continuity of resetting a pacemaker in an excitable medium. Zbl 1235.37033
Borek, Bartłomiej; Glass, Leon; Oldeman, Bart E.
1
2011
Collapsing chaos. Zbl 1404.92131
Shahrear, Pabel; Glass, Leon; Edwards, Roderick
1
2018
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.
3
2021
Double-wave reentry in excitable media. Zbl 1420.92013
Cytrynbaum, Eric N.; Mackay, Vincent; Nahman-Lévesque, Olivier; Dobbs, Matt; Bub, Gil; Shrier, Alvin; Glass, Leon
1
2019
Hybrid models of genetic networks: mathematical challenges and biological relevance. Zbl 1406.92241
Glass, Leon; Edwards, Roderick
5
2018
Collapsing chaos. Zbl 1404.92131
Shahrear, Pabel; Glass, Leon; Edwards, Roderick
1
2018
Bifurcations in a periodically stimulated limit cycle oscillator with finite relaxation times. Zbl 1376.34039
Langfield, Peter; Façanha, Wilson L. C.; Oldeman, Bart; Glass, Leon
1
2017
Chaotic dynamics and diffusion in a piecewise linear equation. Zbl 1374.92048
Shahrear, Pabel; Glass, Leon; Edwards, Rod
3
2015
Dynamics in piecewise linear and continuous models of complex switching networks. Zbl 07313344
Shahrear, Pabel; Glass, Leon; Wilds, Roy; Edwards, Rod
3
2015
Functional characterization of oscillatory and excitable media. Zbl 1334.92070
Glass, Leon; Shrier, Alvin
1
2015
Dynamics in genetic networks. Zbl 1327.92032
Edwards, Roderick; Glass, Leon
3
2014
Introduction to focus issue: quantitative approaches to genetic networks. Zbl 1331.92049
Albert, Réka; Collins, James J.; Glass, Leon
13
2013
Bifurcation structures in two-dimensional maps: the endoskeletons of shrimps. Zbl 1290.37026
Façanha, Wilson; Oldeman, Bart; Glass, Leon
8
2013
The shape of phase-resetting curves in oscillators with a saddle node on an invariant circle bifurcation. Zbl 1268.92016
Ermentrout, G. Bard; Glass, Leon; Oldeman, Bart E.
9
2012
Continuity of resetting a pacemaker in an excitable medium. Zbl 1235.37033
Borek, Bartłomiej; Glass, Leon; Oldeman, Bart E.
1
2011
Robust dynamics in minimal hybrid models of genetic networks. Zbl 1211.37115
Perkins, Theodore J.; Wilds, Roy; Glass, Leon
7
2010
An atlas of robust, stable, high-dimensional limit cycles. Zbl 1183.34043
Robust, Roy; Glass, Leon
6
2009
A model for mechano-electrical feedback effects on atrial flutter interval variability. Zbl 1142.92018
Masé, Michela; Glass, Leon; Ravelli, Flavia
1
2008
Stochastic aspects of cardiac arrhythmias. Zbl 1115.92031
Lerma, Claudia; Krogh-Madsen, Trine; Guevara, Michael; Glass, Leon
3
2007
The role of heterogeneities and intercellular coupling in wave propagation in cardiac tissue. Zbl 1152.92328
Steinberg, Benjamin E.; Glass, Leon; Shrier, Alvin; Bub, Gil
6
2006
Spiral wave dynamics in excitable media with spherical geometries. Zbl 1151.35391
Rohlf, Katrin; Glass, Leon; Kapral, Raymond
5
2006
Chaotic dynamics in an electronic model of a genetic network. Zbl 1091.37026
Glass, Leon; Perkins, Theodore J.; Mason, Jonathan; Siegelmann, Hava T.; Edwards, Roderick
7
2005
Evolving complex dynamics in electronic models of genetic networks. Zbl 1080.92515
Mason, Jonathan; Linsay, Paul S.; Collins, J. J.; Glass, Leon
12
2004
Apparent discontinuities in the phase-resetting response of cardiac pacemakers. Zbl 1447.92199
Krogh-Madsen, T.; Glass, L.; Doedel, E. J.; Guevara, M. R.
8
2004
Inferring models of gene expression dynamics. Zbl 1447.92148
Perkins, Theodore J.; Hallett, Mike; Glass, Leon
5
2004
Nonlinear dynamics in physiology and medicine. Zbl 1050.92013
18
2003
Dynamics in high-dimensional model gene networks. Zbl 1144.37467
Kappler, K.; Edwards, R.; Glass, L.
8
2003
A mathematical model of human atrioventricular nodal function incorporating concealed conduction. Zbl 1334.92092
Jørgensen, Peter; Schäfer, Carsten; Guerra, Peter G.; Talajic, Mario; Nattel, Stanley; Glass, Leon
3
2002
Scroll waves in spherical shell geometries. Zbl 1080.92500
Chávez, Francisco; Kapral, Raymond; Rousseau, Guillaume; Glass, Leon
4
2001
Combinatorial explosion in model gene networks. Zbl 1033.92014
Edwards, R.; Glass, L.
36
2000
Parkinsonian tremor and simplification in network dynamics. Zbl 1323.92044
Edwards, Roderick; Beuter, Anne; Glass, Leon
4
1999
Continuity of resetting curves for FitzHugh-Nagumo equations on the circle. Zbl 0918.35014
Gedeon, Tomáš; Glass, Leon
3
1999
Chaos in high-dimensional neural and gene networks. Zbl 0890.58054
Mestl, Thomas; Lemay, Chris; Glass, Leon
34
1996
A delay equation representation of pulse circulation on a ring in excitable media. Zbl 0859.35052
Courtemanche, Marc; Keener, James P.; Glass, Leon
24
1996
Understanding nonlinear dynamics. Zbl 0823.34002
Kaplan, Daniel; Glass, Leon
52
1995
Bifurcations in a discontinuous circle map: A theory for a chaotic cardiac arrhythmia. Zbl 0885.92025
Bub, Gil; Glass, Leon
8
1995
Dynamical disease: mathematical analysis of human illness. Papers based on a NATO advanced research workshop, Mont Tremblant, Canada, February 1994.Reprinted from the journal Chaos 5, No. 1 (1995). Reprinted from the journal Chaos 5, No. 1 (1995). Zbl 0862.92013
5
1995
Dynamical disease - the impact of nonlinear dynamics and chaos on cardiology and medicine. Zbl 0877.92018
Glass, Leon
1
1995
Bifurcations in flat-topped maps and the control of cardiac chaos. Zbl 0877.92007
Glass, Leon; Zeng, Wanzhen
18
1994
Coarse-grained embeddings of time series: Random walks, Gaussian random processes, and deterministic chaos. Zbl 0773.58016
Kaplan, Daniel T.; Glass, Leon
21
1993
Theory of reentrant excitation in a ring of cardiac tissue. Zbl 0780.92014
Ito, Hiroyuki; Glass, Leon
13
1992
Cardiac arrythmias and circle maps – a classical problem. Zbl 0900.92093
Glass, Leon
25
1991
Steady states, limit cycles, and chaos in models of complex biological networks. Zbl 0900.92006
Lewis, John E.; Glass, Leon
16
1991
Nonlinear dynamics of physiological function and control. Zbl 0900.92063
Glass, Leon
2
1991
There is a theory of heart. Zbl 0698.92005
Glass, Leon; Hunter, P.
15
1990
A circle map in a human heart. Zbl 0684.92003
Courtemanche, M.; Glass, L.; Bélair, J.; Scagliotti, D.; Gordon, D.
10
1989
Symbolic dynamics and skeletons of circle maps. Zbl 0820.58015
Zeng, Wan-Zhen; Glass, Leon
9
1989
From clocks to chaos. The rhythms of life. Zbl 0705.92004
Glass, Leon; Mackey, Michael C.
225
1988
Time delays, oscillations, and chaos in physiological control systems. Zbl 0649.92008
Glass, Leon; Beuter, Anne; Larocque, David
16
1988
Nonlinear dynamics, chaos and complex cardiac arrhythmias. Zbl 0626.92001
Glass, L.; Goldberger, A. L.; Courtemanche, M.; Shrier, A.
10
1987
Universality and self-similarity in the bifurcations of circle maps. Zbl 0593.58030
Bélair, Jacques; Glass, Leon
19
1985
Global bifurcations of a periodically forced nonlinear oscillator. Zbl 0573.92005
Keener, James P.; Glass, Leon
16
1984
Chaos in neurobiology. Zbl 0543.92006
Guevara, Michael R.; Glass, Leon; Mackey, Michael C.; Shrier, Alvin
28
1983
Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias. Zbl 0489.92007
Guevara, Michael R.; Glass, Leon
47
1982
Pathological conditions resulting from instabilities in physiological control systems. Zbl 0427.92004
Glass, Leon; Mackey, Michael C.
53
1979
A simple model for phase locking of biological oscillators. Zbl 0397.92006
Glass, Leon; Mackey, Michael C.
34
1979
Stable oscillations in mathematical models of biological control systems. Zbl 0391.92001
Glass, Leon; Pasternack, Joel S.
73
1978
Oscillation and chaos in physiological control systems. Zbl 1383.92036
Mackey, M. C.; Glass, L.
902
1977
A topological theorem for nonlinear dynamics in chemical and ecological networks. Zbl 0309.92006
Glass, Leon
2
1975
A combinatorial analogue of the Poincaré index theorem. Zbl 0264.05112
Glass, Leon
6
1973
all top 5

Cited by 2,699 Authors

31 Glass, Leon
19 Mackey, Michael Charles
15 Gedeon, Tomáš
15 Ghosh, Dibakar
15 Golubyatnikov, Vladimir Petrovich
13 Edwards, Roderick
13 Frank, Till Daniel
11 Longtin, André
11 Roy Chowdhury, Asesh
10 Kurths, Jürgen
10 Wu, Jianhong
9 Braverman, Elena
9 Cummins, Bree
9 Gouzé, Jean-Luc
9 Mischaikow, Konstantin
9 Saker, Samir H.
8 Qian, Chuanxi
7 Bélair, Jacques
7 Coombes, Stephen
7 Duressa, Gemechis File
7 Erdogan, Fevzi
7 Liz, Eduardo
7 Mallet-Paret, John Joseph
7 Mukherjee, Sayan
7 Oh, Sungkwun
7 Pedrycz, Witold
6 Ahn, Choon Ki
6 an der Heiden, Uwe
6 Avrutin, Viktor
6 Ayupova, Natalia Borisovna
6 Berezansky, Leonid M.
6 Bressloff, Paul C.
6 Chen, Ruipeng
6 Ermentrout, George Bard
6 Farcot, Etienne
6 Kuznetsov, Aleksandr Petrovich
6 Lessard, Jean-Philippe
6 Nussbaum, Roger David
6 Palit, Sanjay Kumar
6 Sharma, Kapil Kumar
6 Skardal, Per Sebastian
6 Trofimchuk, Sergei I.
6 Wang, Xiao
6 Wei, Junjie
6 Yang, Xiaosong
6 Yi, Taishan
5 Amiraliyev, Gabil M.
5 Banerjee, Santo
5 Banerjee, Tanmoy
5 Beek, Peter J.
5 Bhattacharya, Dilip Kumar
5 Breda, Dimitri
5 Chen, Yuming
5 Collins, James J.
5 Ding, Xiaohua
5 Faria, Teresa
5 Hsiao, Feng-Hsiag
5 Humphries, Antony R.
5 Jiang, Daqing
5 Karimaghaee, Paknosh
5 Kashchenko, Il’ya Sergeevich
5 Keener, James P.
5 Kumar, Devendra
5 Lani-Wayda, Bernhard
5 Letellier, Christophe
5 Li, Zhixiang
5 Mei, Ming
5 Milton, John G.
5 Mireles-James, Jason D.
5 Su, Huan
5 Sugie, Jitsuro
5 Sun, Zhongkui
5 Tan, Yanxiang
5 Tresser, Charles
5 Walther, Hans-Otto
5 Woldaregay, Mesfin Mekuria
5 Yan, Yan
5 Yang, Xiaoli
5 Zhou, Hui
5 Zou, Xingfu
4 Aguirre, Luis Antonio
4 Aihara, Kazuyuki
4 Akhmet, Marat Ubaydulla
4 Alford, John G.
4 Amster, Pablo
4 Balocchi, Rita
4 Biswas, Debabrata
4 Burić, Nikola I.
4 Chaves, Madalena
4 Derese, Getachew Adamu
4 Di Garbo, Angelo
4 Ding, Huisheng
4 Elsayed, Elsayed Mohammed
4 Ermentrout, Bard G.
4 Franco Leis, Daniel
4 Gardini, Laura
4 Gopalsamy, Kondalsamy
4 Graef, John R.
4 Guan, Xinping
4 Guevara, Michael R.
...and 2,599 more Authors
all top 5

Cited in 273 Serials

138 Physica D
132 Chaos
87 Chaos, Solitons and Fractals
81 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
50 Applied Mathematics and Computation
46 Physics Letters. A
41 Journal of Mathematical Biology
39 Journal of Theoretical Biology
38 Communications in Nonlinear Science and Numerical Simulation
32 SIAM Journal on Applied Dynamical Systems
26 Bulletin of Mathematical Biology
25 Journal of Mathematical Analysis and Applications
25 Mathematical Biosciences
22 Journal of Differential Equations
21 Nonlinear Dynamics
20 Physica A
17 Mathematical Methods in the Applied Sciences
17 Neural Computation
16 Journal of Dynamics and Differential Equations
15 Computers & Mathematics with Applications
15 Mathematical and Computer Modelling
15 Advances in Difference Equations
14 Biological Cybernetics
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Nonlinear Analysis. Real World Applications
13 Abstract and Applied Analysis
11 Fuzzy Sets and Systems
11 Information Sciences
11 Journal of Computational and Applied Mathematics
11 Applied Mathematical Modelling
11 Journal of Difference Equations and Applications
11 Discrete and Continuous Dynamical Systems. Series B
10 Journal of Statistical Physics
10 Discrete Dynamics in Nature and Society
9 Mathematical Problems in Engineering
8 Applied Mathematics Letters
8 Neural Networks
8 Numerical Algorithms
8 Journal of Applied Mathematics and Computing
7 Theoretical and Mathematical Physics
7 Mathematics and Computers in Simulation
7 Journal of Computational Neuroscience
7 Nonlinear Analysis. Theory, Methods & Applications
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Theoretical Population Biology
6 International Journal of Robust and Nonlinear Control
6 Qualitative Theory of Dynamical Systems
6 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
5 International Journal of Modern Physics B
5 Nonlinearity
5 Acta Applicandae Mathematicae
5 Dynamics and Stability of Systems
5 Soft Computing
5 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
5 Nonlinear Analysis. Hybrid Systems
4 Modern Physics Letters B
4 Applicable Analysis
4 International Journal of Systems Science
4 Physics Reports
4 Automatica
4 Quarterly of Applied Mathematics
4 Transactions of the American Mathematical Society
4 Systems & Control Letters
4 Computational Mathematics and Modeling
4 Computational Mathematics and Mathematical Physics
4 International Journal of Computer Mathematics
4 SIAM Journal on Mathematical Analysis
4 Journal of Nonlinear Science
4 SIAM Journal on Scientific Computing
4 Journal of Inequalities and Applications
4 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
4 International Journal of Applied Mathematics and Computer Science
4 Mediterranean Journal of Mathematics
4 Mathematical Biosciences and Engineering
4 Boundary Value Problems
4 The European Physical Journal B. Condensed Matter and Complex Systems
4 Journal of Physics A: Mathematical and Theoretical
4 Mathematical Modelling of Natural Phenomena
4 Journal of Applied Analysis and Computation
4 International Journal of Applied and Computational Mathematics
4 Results in Applied Mathematics
3 International Journal of Control
3 Journal of Computational Physics
3 Journal of the Franklin Institute
3 Journal of Optimization Theory and Applications
3 Monatshefte für Mathematik
3 Numerical Methods for Partial Differential Equations
3 SIAM Journal on Applied Mathematics
3 Computational and Applied Mathematics
3 Discrete and Continuous Dynamical Systems
3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 International Journal of Modern Physics C
3 Stochastics and Dynamics
3 Sibirskie Èlektronnye Matematicheskie Izvestiya
3 Discrete and Continuous Dynamical Systems. Series S
3 International Journal of Biomathematics
3 Asian Journal of Control
3 Journal of Applied Mathematics & Informatics
3 Journal of Computational Dynamics
2 Archive for Rational Mechanics and Analysis
...and 173 more Serials
all top 5

Cited in 44 Fields

690 Biology and other natural sciences (92-XX)
686 Ordinary differential equations (34-XX)
547 Dynamical systems and ergodic theory (37-XX)
211 Systems theory; control (93-XX)
175 Numerical analysis (65-XX)
114 Partial differential equations (35-XX)
81 Statistics (62-XX)
69 Difference and functional equations (39-XX)
68 Computer science (68-XX)
62 Information and communication theory, circuits (94-XX)
55 Operator theory (47-XX)
50 Probability theory and stochastic processes (60-XX)
42 Statistical mechanics, structure of matter (82-XX)
31 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
27 Mechanics of particles and systems (70-XX)
27 Operations research, mathematical programming (90-XX)
17 Integral equations (45-XX)
13 Combinatorics (05-XX)
13 Fluid mechanics (76-XX)
12 Calculus of variations and optimal control; optimization (49-XX)
12 Optics, electromagnetic theory (78-XX)
11 Real functions (26-XX)
8 Mathematical logic and foundations (03-XX)
8 Geophysics (86-XX)
7 Measure and integration (28-XX)
7 General topology (54-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
6 Approximations and expansions (41-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Mechanics of deformable solids (74-XX)
6 Classical thermodynamics, heat transfer (80-XX)
6 Quantum theory (81-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 General and overarching topics; collections (00-XX)
4 History and biography (01-XX)
4 Manifolds and cell complexes (57-XX)
3 Number theory (11-XX)
2 Functional analysis (46-XX)
1 Algebraic geometry (14-XX)
1 Group theory and generalizations (20-XX)
1 Special functions (33-XX)
1 Abstract harmonic analysis (43-XX)
1 Convex and discrete geometry (52-XX)

Citations by Year