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## Sanders, Jan A.

Compute Distance To:
 Author ID: sanders.jan-a Published as: Sanders, Jan A.; Sanders, J. A.; Sanders, Jan; Sanders, J.
 Documents Indexed: 83 Publications since 1974, including 3 Books
all top 5

#### Co-Authors

 16 single-authored 20 Wang, Jingping 11 Cushman, Richard H. 7 Rink, Bob W. 4 Lombardo, Sara 4 Nijholt, Eddie 3 Knibbeler, Vincent 3 Mokhtari, Fahimeh 3 van der Kamp, Peter H. 3 Verhulst, Ferdinand 2 Asadi, Esmaeel 2 Baider, Alberto 2 Beukers, Frits 2 Gazor, Majid 2 Marí Beffa, Gloria 2 Murdock, James A. 2 Olver, Peter John 2 Sergyeyev, Artur 2 van der Meer, Jan-Cees 1 Beavers, Gordon S. 1 Billera, Louis J. 1 Carr, Jack 1 Chow, Shui-Nee 1 Hereman, Willy A. 1 Joseph, Daniel D. 1 Lauterbach, Reiner 1 Sayers, J. 1 Top, Jaap 1 van der Aa, Els 1 van Gils, Stephan A. 1 Vanderbauwhede, Andre L.
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#### Serials

 15 Journal of Differential Equations 7 SIAM Journal on Mathematical Analysis 3 Celestial Mechanics 3 Journal of Lie Theory 2 Mathematics and Computers in Simulation 2 Physica D 2 Journal of Nonlinear Mathematical Physics 2 Applied Mathematical Sciences 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 Glasgow Mathematical Journal 1 Indagationes Mathematicae 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Acta Applicandae Mathematicae 1 Dynamics and Stability of Systems 1 Journal of Non-Newtonian Fluid Mechanics 1 SIAM Review 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 Selecta Mathematica. New Series 1 Journal of Difference Equations and Applications 1 Regular and Chaotic Dynamics 1 Communications in Contemporary Mathematics 1 Dynamical Systems 1 Foundations of Computational Mathematics 1 Moscow Mathematical Journal 1 SIAM Journal on Applied Dynamical Systems
all top 5

#### Fields

 52 Dynamical systems and ergodic theory (37-XX) 31 Ordinary differential equations (34-XX) 20 Partial differential equations (35-XX) 13 Nonassociative rings and algebras (17-XX) 7 Differential geometry (53-XX) 6 Mechanics of particles and systems (70-XX) 5 Commutative algebra (13-XX) 5 Group theory and generalizations (20-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Numerical analysis (65-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Quantum theory (81-XX) 3 Operations research, mathematical programming (90-XX) 2 Number theory (11-XX) 2 Topological groups, Lie groups (22-XX) 2 Manifolds and cell complexes (57-XX) 2 Computer science (68-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

70 Publications have been cited 1,257 times in 952 Documents Cited by Year
Averaging methods in nonlinear dynamical systems. Zbl 0586.34040
Sanders, J. A.; Verhulst, F.
1985
Averaging methods in nonlinear dynamical systems. 2nd ed. Zbl 1128.34001
Sanders, J. A.; Verhulst, F.; Murdock, James
2007
Further reduction of the Takens-Bogdanov normal form. Zbl 0761.34027
Baider, Alberto; Sanders, Jan A.
1992
On the number of critical points of the period. Zbl 0594.34028
Chow, S.-N.; Sanders, J. A.
1986
On the integrability of homogeneous scalar evolution equations. Zbl 0951.37026
Sanders, Jan A.; Wang, Jing Ping
1998
Integrable systems in three-dimensional Riemannian geometry. Zbl 1140.37361
Marí Beffa, Gloria; Sanders, J. A.; Wang, Jing Ping
2002
Integrable systems in $$n$$-dimensional Riemannian geometry. Zbl 1050.37035
Sanders, Jan A.; Wang, Jing Ping
2003
Melnikov’s method and averaging. Zbl 0552.34038
Sanders, Jan A.
1982
A codimension two bifurcation with a third order Picard-Fuchs equation. Zbl 0571.34021
Cushman, R.; Sanders, J. A.
1985
Normal form theory and spectral sequences. Zbl 1039.34032
Sanders, Jan A.
2003
Integrable systems and their recursion operators. Zbl 1042.37531
Sanders, Jan A.; Wang, Jing Ping
2001
A survey of invariant theory applied to normal forms of vectorfields with nilpotent linear part. Zbl 0712.58053
Cushman, R.; Sanders, J. A.
1990
Unique normal forms: The nilpotent Hamiltonian case. Zbl 0731.58060
Baider, Alberto; Sanders, Jan A.
1991
Coupled cell networks and their hidden symmetries. Zbl 1384.37060
Rink, Bob; Sanders, Jan
2014
Coupled cell networks: semigroups, Lie algebras and normal forms. Zbl 1366.37067
Rink, Bob; Sanders, Jan
2015
Graph fibrations and symmetries of network dynamics. Zbl 1378.37054
Nijholt, Eddie; Rink, Bob; Sanders, Jan
2016
The Stanley decomposition of the harmonic oscillator. Zbl 0669.15006
Billera, L. J.; Cushman, R.; Sanders, J. A.
1988
One symmetry does not imply integrability. Zbl 0927.37038
Beukers, Frits; Sanders, Jan A.; Wang, Jing Ping
1998
Amplified Hopf bifurcations in feed-forward networks. Zbl 1291.37089
Rink, Bob W.; Sanders, Jan A.
2013
Are higher order resonances really interesting? Zbl 0377.70015
Sanders, Jan
1977
On recursion operators. Zbl 0972.35137
Sanders, Jan A.; Wang, Jing Ping
2001
Limit cycles in the Josephson equation. Zbl 0604.58041
Sanders, Jan A.; Cushman, Richard
1986
Transvectants, modular forms, and the Heisenberg algebra. Zbl 1041.11026
Olver, Peter J.; Sanders, Jan A.
2000
Normal form for the (2;n)-nilpotent vector field, using invariant theory. Zbl 0649.34053
Cushman, R.; Sanders, J. A.; White, N.
1988
On the integrability of non-polynomial scalar evolution equations. Zbl 0959.35147
Sanders, Jan A.; Wang, Jing Ping
2000
On integrability of systems of evolution equations. Zbl 1130.35346
Beukers, Frits; Sanders, Jan A.; Wang, Jing Ping
2001
Normal forms for Hopf-zero singularities with nonconservative nonlinear part. Zbl 1266.34066
Gazor, Majid; Mokhtari, Fahimeh; Sanders, Jan A.
2013
On the classification of automorphic Lie algebras. Zbl 1239.17025
Lombardo, Sara; Sanders, Jan A.
2010
Center manifolds of coupled cell networks. Zbl 1379.37093
Nijholt, Eddie; Rink, Bob; Sanders, Jan
2017
Hamiltonian structure of the reversible nonsemisimple 1:1 resonance. Zbl 0818.58017
van der Meer, J. C.; Sanders, J. A.; Vanderbauwhede, A.
1994
Symbolic computation of polynomial conserved densities, generalized symmetries, and recursion operators for nonlinear differential-difference equations. Zbl 1080.65119
Hereman, W.; Sanders, J. A.; Sayers, J.; Wang, J. P.
2005
Unique normal form of the Hamiltonian 1:2 resonance. Zbl 0766.58051
Sanders, J. A.; Van der Meer, J.-C.
1992
Almost integrable evolution equations. Zbl 1022.35062
van der Kamp, P. H.; Sanders, J. A.
2002
Normal form in filtered Lie algebra representations. Zbl 1077.34043
Sanders, Jan A.
2005
A new transvectant algorithm for nilpotent normal forms. Zbl 1125.34026
Murdock, James; Sanders, Jan A.
2007
Versal normal form computations and representation theory. Zbl 0804.17018
Sanders, J. A.
1994
Nilpotent normal forms and representation theory of sl(2,$${\mathbb{R}})$$. Zbl 0604.58005
Cushman, Richard; Sanders, Jan A.
1986
On the passage through resonance. Zbl 0462.34038
Sanders, Jan
1979
The 1:2:1-resonance, its periodic orbits and integrals. Zbl 0407.58027
van der Aa, Els; Sanders, Jan A.
1979
Splitting algorithm for nilpotent normal forms. Zbl 0655.65068
Cushman, Richard; Sanders, Jan A.
1987
Projection blocks in homogeneous coupled cell networks. Zbl 1362.37101
Nijholt, Eddie; Rink, Bob; Sanders, Jan
2017
Number theory and the symmetry classification of integrable systems. Zbl 1180.35466
Sanders, J. A.; Wang, J. P.
2009
Stanley decomposition of the joint covariants of three quadratics. Zbl 1229.13008
Sanders, Jan A.
2007
Bifurcation analysis for spherically symmetric systems using invariant theory. Zbl 0889.58069
Lauterbach, Reiner; Sanders, Jan A.
1997
Abelian integrals and global Hopf bifurcations. Zbl 0559.34028
Sanders, J. A.; Cushman, R.
1985
Center manifolds of coupled cell networks. Zbl 1415.37034
Nijholt, Eddie; Rink, Bob; Sanders, Jan
2019
A remark on nonlocal symmetries for the Calogero-Degasperis-Ibragimov-Shabat equation. Zbl 1020.35106
Sergyeyev, Artur; Sanders, Jan A.
2003
On the integrability of systems of second order evolution equations with two components. Zbl 1061.35036
Sanders, Jan A.; Wang, Jing Ping
2004
Nonresonant bifurcations with symmetry. Zbl 0624.34026
Carr, Jack; Sanders, Jan A.; van Gils, Stephan A.
1987
On testing integrability. Zbl 0996.37071
van der Kamp, Peter H.; Sanders, Jan A.
2001
Rimming flow of a viscoelastic liquid inside a rotating horizontal cylinder. Zbl 0477.76005
Sanders, J.; Joseph, D. D.; Beavers, G. S.
1981
Higher-dimensional automorphic Lie algebras. Zbl 1383.17013
Knibbeler, Vincent; Lombardo, Sara; Sanders, Jan A.
2017
Asymptotic approximations and extension of time-scales. Zbl 0438.34050
Sanders, Jan A.
1980
Automorphic Lie algebras and cohomology of root systems. Zbl 1459.17011
Knibbeler, Vincent; Lombardo, Sara; Sanders, Jan A.
2020
Combining Maple and Form to decide on integrability questions. Zbl 1001.65132
Sanders, Jan A.; Wang, Jing Ping
1998
On integrability of evolution equations and representation theory. Zbl 1001.35110
Sanders, Jan A.; Wang, Jing Ping
2001
On a family of operators and their Lie algebras. Zbl 1062.37082
Sanders, Jan A.; Wang, Jing Ping
2002
Hodge decomposition and conservation laws. Zbl 1017.35504
Sanders, Jan A.; Wang, Jing Ping
1997
Invariant theory and normal form of Hamiltonian vectorfields with nilpotent linear part. Zbl 0634.58002
Cushman, Richard; Sanders, Jan A.
1987
The constrained normal form algorithm. Zbl 0674.70018
Cushman, Richard; Sanders, Jan A.
1989
Classification of symmetry-integrable evolution equations. Zbl 0995.35005
Olver, Peter J.; Sanders, Jan A.; Wang, Jing Ping
2001
Integrable systems in symplectic geometry. Zbl 1166.37025
2009
Vector potential normal form classification for completely integrable solenoidal nilpotent singularities. Zbl 1412.34131
Gazor, Majid; Mokhtari, Fahimeh; Sanders, Jan A.
2019
A note on optimal fish harvest. Zbl 0352.90073
Sanders, J.
1978
Approximations of higher order resonances with an application to Contopoulos’ model problem. Zbl 0401.70016
Sanders, Jan A.; Verhulst, Ferdinand
1979
Integrable systems and number theory. Zbl 1042.35069
van der Kamp, Peter H.; Sanders, Jan A.; Top, Jaap
2002
Nilpotent normal form in dimension 4. Zbl 0636.58012
Cushman, Richard; Sanders, Jan A.
1987
Normal forms of 3 degree of freedom Hamiltonian systems at equilibrium in the semisimple resonant case. Zbl 1181.37070
Sanders, Jan A.
2006
On the fundamental theorem of averaging. Zbl 0566.34042
Sanders, J. A.
1983
Multilinear Hirota operators, modular forms and the Heisenberg algebra. Zbl 0964.35128
Sanders, Jan A.
2000
Automorphic Lie algebras and cohomology of root systems. Zbl 1459.17011
Knibbeler, Vincent; Lombardo, Sara; Sanders, Jan A.
2020
Center manifolds of coupled cell networks. Zbl 1415.37034
Nijholt, Eddie; Rink, Bob; Sanders, Jan
2019
Vector potential normal form classification for completely integrable solenoidal nilpotent singularities. Zbl 1412.34131
Gazor, Majid; Mokhtari, Fahimeh; Sanders, Jan A.
2019
Center manifolds of coupled cell networks. Zbl 1379.37093
Nijholt, Eddie; Rink, Bob; Sanders, Jan
2017
Projection blocks in homogeneous coupled cell networks. Zbl 1362.37101
Nijholt, Eddie; Rink, Bob; Sanders, Jan
2017
Higher-dimensional automorphic Lie algebras. Zbl 1383.17013
Knibbeler, Vincent; Lombardo, Sara; Sanders, Jan A.
2017
Graph fibrations and symmetries of network dynamics. Zbl 1378.37054
Nijholt, Eddie; Rink, Bob; Sanders, Jan
2016
Coupled cell networks: semigroups, Lie algebras and normal forms. Zbl 1366.37067
Rink, Bob; Sanders, Jan
2015
Coupled cell networks and their hidden symmetries. Zbl 1384.37060
Rink, Bob; Sanders, Jan
2014
Amplified Hopf bifurcations in feed-forward networks. Zbl 1291.37089
Rink, Bob W.; Sanders, Jan A.
2013
Normal forms for Hopf-zero singularities with nonconservative nonlinear part. Zbl 1266.34066
Gazor, Majid; Mokhtari, Fahimeh; Sanders, Jan A.
2013
On the classification of automorphic Lie algebras. Zbl 1239.17025
Lombardo, Sara; Sanders, Jan A.
2010
Number theory and the symmetry classification of integrable systems. Zbl 1180.35466
Sanders, J. A.; Wang, J. P.
2009
Integrable systems in symplectic geometry. Zbl 1166.37025
2009
Averaging methods in nonlinear dynamical systems. 2nd ed. Zbl 1128.34001
Sanders, J. A.; Verhulst, F.; Murdock, James
2007
A new transvectant algorithm for nilpotent normal forms. Zbl 1125.34026
Murdock, James; Sanders, Jan A.
2007
Stanley decomposition of the joint covariants of three quadratics. Zbl 1229.13008
Sanders, Jan A.
2007
Normal forms of 3 degree of freedom Hamiltonian systems at equilibrium in the semisimple resonant case. Zbl 1181.37070
Sanders, Jan A.
2006
Symbolic computation of polynomial conserved densities, generalized symmetries, and recursion operators for nonlinear differential-difference equations. Zbl 1080.65119
Hereman, W.; Sanders, J. A.; Sayers, J.; Wang, J. P.
2005
Normal form in filtered Lie algebra representations. Zbl 1077.34043
Sanders, Jan A.
2005
On the integrability of systems of second order evolution equations with two components. Zbl 1061.35036
Sanders, Jan A.; Wang, Jing Ping
2004
Integrable systems in $$n$$-dimensional Riemannian geometry. Zbl 1050.37035
Sanders, Jan A.; Wang, Jing Ping
2003
Normal form theory and spectral sequences. Zbl 1039.34032
Sanders, Jan A.
2003
A remark on nonlocal symmetries for the Calogero-Degasperis-Ibragimov-Shabat equation. Zbl 1020.35106
Sergyeyev, Artur; Sanders, Jan A.
2003
Integrable systems in three-dimensional Riemannian geometry. Zbl 1140.37361
Marí Beffa, Gloria; Sanders, J. A.; Wang, Jing Ping
2002
Almost integrable evolution equations. Zbl 1022.35062
van der Kamp, P. H.; Sanders, J. A.
2002
On a family of operators and their Lie algebras. Zbl 1062.37082
Sanders, Jan A.; Wang, Jing Ping
2002
Integrable systems and number theory. Zbl 1042.35069
van der Kamp, Peter H.; Sanders, Jan A.; Top, Jaap
2002
Integrable systems and their recursion operators. Zbl 1042.37531
Sanders, Jan A.; Wang, Jing Ping
2001
On recursion operators. Zbl 0972.35137
Sanders, Jan A.; Wang, Jing Ping
2001
On integrability of systems of evolution equations. Zbl 1130.35346
Beukers, Frits; Sanders, Jan A.; Wang, Jing Ping
2001
On testing integrability. Zbl 0996.37071
van der Kamp, Peter H.; Sanders, Jan A.
2001
On integrability of evolution equations and representation theory. Zbl 1001.35110
Sanders, Jan A.; Wang, Jing Ping
2001
Classification of symmetry-integrable evolution equations. Zbl 0995.35005
Olver, Peter J.; Sanders, Jan A.; Wang, Jing Ping
2001
Transvectants, modular forms, and the Heisenberg algebra. Zbl 1041.11026
Olver, Peter J.; Sanders, Jan A.
2000
On the integrability of non-polynomial scalar evolution equations. Zbl 0959.35147
Sanders, Jan A.; Wang, Jing Ping
2000
Multilinear Hirota operators, modular forms and the Heisenberg algebra. Zbl 0964.35128
Sanders, Jan A.
2000
On the integrability of homogeneous scalar evolution equations. Zbl 0951.37026
Sanders, Jan A.; Wang, Jing Ping
1998
One symmetry does not imply integrability. Zbl 0927.37038
Beukers, Frits; Sanders, Jan A.; Wang, Jing Ping
1998
Combining Maple and Form to decide on integrability questions. Zbl 1001.65132
Sanders, Jan A.; Wang, Jing Ping
1998
Bifurcation analysis for spherically symmetric systems using invariant theory. Zbl 0889.58069
Lauterbach, Reiner; Sanders, Jan A.
1997
Hodge decomposition and conservation laws. Zbl 1017.35504
Sanders, Jan A.; Wang, Jing Ping
1997
Hamiltonian structure of the reversible nonsemisimple 1:1 resonance. Zbl 0818.58017
van der Meer, J. C.; Sanders, J. A.; Vanderbauwhede, A.
1994
Versal normal form computations and representation theory. Zbl 0804.17018
Sanders, J. A.
1994
Further reduction of the Takens-Bogdanov normal form. Zbl 0761.34027
Baider, Alberto; Sanders, Jan A.
1992
Unique normal form of the Hamiltonian 1:2 resonance. Zbl 0766.58051
Sanders, J. A.; Van der Meer, J.-C.
1992
Unique normal forms: The nilpotent Hamiltonian case. Zbl 0731.58060
Baider, Alberto; Sanders, Jan A.
1991
A survey of invariant theory applied to normal forms of vectorfields with nilpotent linear part. Zbl 0712.58053
Cushman, R.; Sanders, J. A.
1990
The constrained normal form algorithm. Zbl 0674.70018
Cushman, Richard; Sanders, Jan A.
1989
The Stanley decomposition of the harmonic oscillator. Zbl 0669.15006
Billera, L. J.; Cushman, R.; Sanders, J. A.
1988
Normal form for the (2;n)-nilpotent vector field, using invariant theory. Zbl 0649.34053
Cushman, R.; Sanders, J. A.; White, N.
1988
Splitting algorithm for nilpotent normal forms. Zbl 0655.65068
Cushman, Richard; Sanders, Jan A.
1987
Nonresonant bifurcations with symmetry. Zbl 0624.34026
Carr, Jack; Sanders, Jan A.; van Gils, Stephan A.
1987
Invariant theory and normal form of Hamiltonian vectorfields with nilpotent linear part. Zbl 0634.58002
Cushman, Richard; Sanders, Jan A.
1987
Nilpotent normal form in dimension 4. Zbl 0636.58012
Cushman, Richard; Sanders, Jan A.
1987
On the number of critical points of the period. Zbl 0594.34028
Chow, S.-N.; Sanders, J. A.
1986
Limit cycles in the Josephson equation. Zbl 0604.58041
Sanders, Jan A.; Cushman, Richard
1986
Nilpotent normal forms and representation theory of sl(2,$${\mathbb{R}})$$. Zbl 0604.58005
Cushman, Richard; Sanders, Jan A.
1986
Averaging methods in nonlinear dynamical systems. Zbl 0586.34040
Sanders, J. A.; Verhulst, F.
1985
A codimension two bifurcation with a third order Picard-Fuchs equation. Zbl 0571.34021
Cushman, R.; Sanders, J. A.
1985
Abelian integrals and global Hopf bifurcations. Zbl 0559.34028
Sanders, J. A.; Cushman, R.
1985
On the fundamental theorem of averaging. Zbl 0566.34042
Sanders, J. A.
1983
Melnikov’s method and averaging. Zbl 0552.34038
Sanders, Jan A.
1982
Rimming flow of a viscoelastic liquid inside a rotating horizontal cylinder. Zbl 0477.76005
Sanders, J.; Joseph, D. D.; Beavers, G. S.
1981
Asymptotic approximations and extension of time-scales. Zbl 0438.34050
Sanders, Jan A.
1980
On the passage through resonance. Zbl 0462.34038
Sanders, Jan
1979
The 1:2:1-resonance, its periodic orbits and integrals. Zbl 0407.58027
van der Aa, Els; Sanders, Jan A.
1979
Approximations of higher order resonances with an application to Contopoulos’ model problem. Zbl 0401.70016
Sanders, Jan A.; Verhulst, Ferdinand
1979
A note on optimal fish harvest. Zbl 0352.90073
Sanders, J.
1978
Are higher order resonances really interesting? Zbl 0377.70015
Sanders, Jan
1977
all top 5

#### Cited by 1,200 Authors

 65 Llibre, Jaume 29 Sanders, Jan A. 21 Verhulst, Ferdinand 18 Wang, Jingping 14 Yu, Pei 12 Chartier, Philippe 11 Novaes, Douglas Duarte 10 Hanßmann, Heinz 10 Méhats, Florian 10 Murdock, James A. 10 Palacián, Jesús F. 10 Wang, Duo 9 Mikhailov, Alexander Vasil’evich 9 Valls Anglés, Cláudia 9 Yanguas, Patricia 9 Zhao, Yulin 8 Algaba, Antonio 8 Anco, Stephen C. 8 Broer, Henk W. 8 Danca, Marius-Florin 8 Gazor, Majid 8 Han, Maoan 8 Murua, Ander 8 Pucacco, Giuseppe 7 Giné, Jaume 7 Hoveijn, Igor 7 Makhlouf, Amar 7 Reyes, Enrique G. 7 Rink, Bob W. 6 Aguiar, Manuela A. D. 6 Chicone, Carmen C. 6 García, Isaac A. 6 Gasull, Armengol 6 Haller, George 6 Jing, Zhujun 6 Lemou, Mohammed 6 Li, Chengzhi 6 Marí Beffa, Gloria 6 Nešić, Dragan 6 Nijholt, Eddie 6 Sanz-Serna, Jesús María 6 Teixeira, Marco Antonio 6 Vidal, Claudio 6 Wazwaz, Abdul-Majid Abdul-Rahman 6 Wilson, Dan D. 5 Cândido, Murilo R. 5 Chen, Guanrong 5 Chen, Guoting 5 Dias, Ana Paula S. 5 Dumortier, Freddy 5 Euler, Marianna 5 Euler, Norbert 5 Fečkan, Michal 5 Ferrer, Sebastián 5 García, Cristóbal 5 Kifer, Yuri 5 Li, Shimin 5 Marchesiello, Antonella 5 Papamikos, Georgios A. 5 Qu, Changzheng 5 van der Kamp, Peter H. 5 Żołądek, Henryk 4 Avendaño-Camacho, Misael 4 Bakri, Taoufik 4 Basov, Vladimir Vladimirovich 4 Castella, François 4 Chen, Aiyong 4 Crouseilles, Nicolas 4 Foursov, Mikhail V. 4 Gaeta, Giuseppe 4 Gazzola, Filippo 4 Hereman, Willy A. 4 Li, Jing 4 Mazrooei-Sebdani, Reza 4 Miranda Martins, Ricardo 4 Olver, Peter John 4 Pevzner, Michael 4 M-Seara, Tere 4 Shen, Yongjun 4 Soares, Pedro A. jun. 4 Sokolov, Vladimir Vyacheslavovich 4 Stróżyna, Ewa 4 Teel, Andrew Richard 4 Yang, Jianping 4 Yang, Shaopu 3 Ariel, Gil 3 Ashwin, Peter 3 Baider, Alberto 3 Barreira, Luis Manuel 3 Berchio, Elvise 3 Bilge, Ayşe Hümeyra 3 Bosley, David L. 3 Boulfoul, Amel 3 Bright, Ido 3 Buono, Pietro-Luciano 3 Carpentier, Sylvain 3 Christov, Ognyan 3 Cushman, Richard H. 3 de Carvalho, Tiago 3 de Moraes, Jaime R. ...and 1,100 more Authors
all top 5

#### Cited in 202 Serials

 89 Journal of Differential Equations 52 Physica D 45 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 41 Nonlinear Dynamics 26 Journal of Mathematical Physics 22 Journal of Mathematical Analysis and Applications 21 Chaos 19 Journal of Nonlinear Mathematical Physics 17 Journal of Geometry and Physics 15 Chaos, Solitons and Fractals 14 Nonlinearity 14 Applied Mathematics and Computation 14 Journal of Nonlinear Science 13 Celestial Mechanics and Dynamical Astronomy 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 SIAM Journal on Applied Dynamical Systems 11 Regular and Chaotic Dynamics 11 Qualitative Theory of Dynamical Systems 10 Automatica 10 Journal of Dynamics and Differential Equations 9 Physics Letters. A 9 Journal of Computational and Applied Mathematics 9 Studies in Applied Mathematics 9 Acta Applicandae Mathematicae 9 Journal of Symbolic Computation 8 Communications in Mathematical Physics 8 Dynamical Systems 8 Foundations of Computational Mathematics 8 Discrete and Continuous Dynamical Systems. Series B 7 Theoretical and Mathematical Physics 7 Mathematics and Computers in Simulation 7 Acta Mathematicae Applicatae Sinica. English Series 7 Bulletin des Sciences Mathématiques 7 Discrete and Continuous Dynamical Systems 7 Communications in Nonlinear Science and Numerical Simulation 6 Mathematical Methods in the Applied Sciences 6 Transactions of the American Mathematical Society 6 Nonlinear Analysis. Real World Applications 5 Acta Mechanica 5 Journal of Mathematical Biology 5 Meccanica 5 Proceedings of the American Mathematical Society 5 Systems & Control Letters 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Mathematical Problems in Engineering 4 Computers & Mathematics with Applications 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Ergodic Theory and Dynamical Systems 4 Applied Mathematics and Mechanics. (English Edition) 4 MCSS. Mathematics of Control, Signals, and Systems 4 Celestial Mechanics 4 Indagationes Mathematicae. New Series 4 Vestnik St. Petersburg University. Mathematics 4 Journal of Dynamical and Control Systems 4 Communications on Pure and Applied Analysis 4 Journal of Applied Analysis and Computation 4 Nonlinear Analysis. Theory, Methods & Applications 3 International Journal of Control 3 Journal of Computational Physics 3 Rocky Mountain Journal of Mathematics 3 Advances in Mathematics 3 Annales de l’Institut Fourier 3 Journal of Pure and Applied Algebra 3 Numerische Mathematik 3 SIAM Journal on Control and Optimization 3 Advances in Applied Mathematics 3 Discrete & Computational Geometry 3 European Journal of Applied Mathematics 3 Differential Geometry and its Applications 3 Applied Mathematical Modelling 3 International Journal of Computer Mathematics 3 SIAM Journal on Mathematical Analysis 3 SIAM Journal on Scientific Computing 3 Russian Journal of Mathematical Physics 3 Journal of Mathematical Sciences (New York) 3 NoDEA. Nonlinear Differential Equations and Applications 3 Selecta Mathematica. New Series 3 Journal of Difference Equations and Applications 3 Journal of Vibration and Control 3 Differential Equations and Dynamical Systems 3 Journal of Applied Mathematics 3 Multiscale Modeling & Simulation 3 International Journal of Geometric Methods in Modern Physics 3 Journal of Physics A: Mathematical and Theoretical 3 Discrete and Continuous Dynamical Systems. Series S 3 Japanese Journal of Mathematics. 3rd Series 3 Advances in Mathematical Physics 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Biological Cybernetics 2 Computers and Fluids 2 Computer Physics Communications 2 Journal of Applied Mathematics and Mechanics 2 Journal of Engineering Mathematics 2 Journal of Fluid Mechanics 2 Reports on Mathematical Physics 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Mathematics of Computation 2 Archiv der Mathematik ...and 102 more Serials
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#### Cited in 51 Fields

 481 Ordinary differential equations (34-XX) 417 Dynamical systems and ergodic theory (37-XX) 182 Mechanics of particles and systems (70-XX) 152 Partial differential equations (35-XX) 51 Numerical analysis (65-XX) 44 Systems theory; control (93-XX) 40 Biology and other natural sciences (92-XX) 38 Differential geometry (53-XX) 29 Fluid mechanics (76-XX) 26 Mechanics of deformable solids (74-XX) 23 Nonassociative rings and algebras (17-XX) 20 Combinatorics (05-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Computer science (68-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Probability theory and stochastic processes (60-XX) 14 Commutative algebra (13-XX) 14 Quantum theory (81-XX) 13 Operator theory (47-XX) 11 Optics, electromagnetic theory (78-XX) 11 Geophysics (86-XX) 10 Number theory (11-XX) 10 Algebraic geometry (14-XX) 10 Topological groups, Lie groups (22-XX) 10 Difference and functional equations (39-XX) 9 Convex and discrete geometry (52-XX) 7 Astronomy and astrophysics (85-XX) 6 Associative rings and algebras (16-XX) 6 Group theory and generalizations (20-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Relativity and gravitational theory (83-XX) 4 Integral equations (45-XX) 4 Operations research, mathematical programming (90-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 History and biography (01-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Approximations and expansions (41-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Information and communication theory, circuits (94-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX)