Edit Profile (opens in new tab) Sanders, Jan A. Co-Author Distance Author ID: sanders.jan-a Published as: Sanders, Jan A.; Sanders, J. A.; Sanders, Jan more...less Documents Indexed: 86 Publications since 1974, including 3 Books and 2 Additional arXiv Preprints Co-Authors: 29 Co-Authors with 69 Joint Publications 709 Co-Co-Authors all top 5 Co-Authors 16 single-authored 20 Wang, Jingping 11 Cushman, Richard H. 7 Rink, Bob W. 6 Mokhtari, Fahimeh 4 Lombardo, Sara 4 Nijholt, Eddie 3 Knibbeler, Vincent 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 Roell, Ernst 1 Sayers, Judy 1 Top, Jaap 1 van der Aa, Els 1 van Gils, Stephan A. 1 Vanderbauwhede, Andre L. all top 5 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 Communications in Contemporary Mathematics 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 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) 32 Ordinary differential equations (34-XX) 20 Partial differential equations (35-XX) 14 Nonassociative rings and algebras (17-XX) 7 Differential geometry (53-XX) 7 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 Linear and multilinear algebra; matrix theory (15-XX) 4 Numerical analysis (65-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 73 Publications have been cited 1,489 times in 1,128 Documents Cited by ▼ Year ▼ Averaging methods in nonlinear dynamical systems. 2nd ed. Zbl 1128.34001 Sanders, J. A.; Verhulst, F.; Murdock, James 352 2007 Averaging methods in nonlinear dynamical systems. Zbl 0586.34040 Sanders, J. A.; Verhulst, F. 338 1985 Further reduction of the Takens-Bogdanov normal form. Zbl 0761.34027 Baider, Alberto; Sanders, Jan A. 61 1992 On the number of critical points of the period. Zbl 0594.34028 Chow, S.-N.; Sanders, J. A. 48 1986 On the integrability of homogeneous scalar evolution equations. Zbl 0951.37026 Sanders, Jan A.; Wang, Jing Ping 47 1998 Integrable systems in three-dimensional Riemannian geometry. Zbl 1140.37361 Marí Beffa, Gloria; Sanders, J. A.; Wang, Jing Ping 33 2002 Integrable systems in \(n\)-dimensional Riemannian geometry. Zbl 1050.37035 Sanders, Jan A.; Wang, Jing Ping 28 2003 Melnikov’s method and averaging. Zbl 0552.34038 Sanders, Jan A. 26 1982 Integrable systems and their recursion operators. Zbl 1042.37531 Sanders, Jan A.; Wang, Jing Ping 25 2001 A codimension two bifurcation with a third order Picard-Fuchs equation. Zbl 0571.34021 Cushman, R.; Sanders, J. A. 24 1985 Normal form theory and spectral sequences. Zbl 1039.34032 Sanders, Jan A. 24 2003 Coupled cell networks: semigroups, Lie algebras and normal forms. Zbl 1366.37067 Rink, Bob; Sanders, Jan 22 2015 Graph fibrations and symmetries of network dynamics. Zbl 1378.37054 Nijholt, Eddie; Rink, Bob; Sanders, Jan 22 2016 Unique normal forms: The nilpotent Hamiltonian case. Zbl 0731.58060 Baider, Alberto; Sanders, Jan A. 21 1991 Coupled cell networks and their hidden symmetries. Zbl 1384.37060 Rink, Bob; Sanders, Jan 21 2014 The Stanley decomposition of the harmonic oscillator. Zbl 0669.15006 Billera, L. J.; Cushman, R.; Sanders, J. A. 20 1988 A survey of invariant theory applied to normal forms of vectorfields with nilpotent linear part. Zbl 0712.58053 Cushman, R.; Sanders, J. A. 20 1990 One symmetry does not imply integrability. Zbl 0927.37038 Beukers, Frits; Sanders, Jan A.; Wang, Jing Ping 18 1998 Are higher order resonances really interesting? Zbl 0377.70015 Sanders, Jan 18 1977 Limit cycles in the Josephson equation. Zbl 0604.58041 Sanders, Jan A.; Cushman, Richard 17 1986 Normal forms for Hopf-zero singularities with nonconservative nonlinear part. Zbl 1266.34066 Gazor, Majid; Mokhtari, Fahimeh; Sanders, Jan A. 16 2013 Amplified Hopf bifurcations in feed-forward networks. Zbl 1291.37089 Rink, Bob W.; Sanders, Jan A. 16 2013 On integrability of systems of evolution equations. Zbl 1130.35346 Beukers, Frits; Sanders, Jan A.; Wang, Jing Ping 15 2001 Transvectants, modular forms, and the Heisenberg algebra. Zbl 1041.11026 Olver, Peter J.; Sanders, Jan A. 14 2000 On recursion operators. Zbl 0972.35137 Sanders, Jan A.; Wang, Jing Ping 14 2001 On the integrability of non-polynomial scalar evolution equations. Zbl 0959.35147 Sanders, Jan A.; Wang, Jing Ping 13 2000 Normal form for the (2;n)-nilpotent vector field, using invariant theory. Zbl 0649.34053 Cushman, R.; Sanders, J. A.; White, N. 12 1988 Almost integrable evolution equations. Zbl 1022.35062 van der Kamp, P. H.; Sanders, J. A. 11 2002 Center manifolds of coupled cell networks. Zbl 1379.37093 Nijholt, Eddie; Rink, Bob; Sanders, Jan 11 2017 On the classification of automorphic Lie algebras. Zbl 1239.17025 Lombardo, Sara; Sanders, Jan A. 11 2010 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. 9 2005 Unique normal form of the Hamiltonian 1:2 resonance. Zbl 0766.58051 Sanders, J. A.; Van der Meer, J.-C. 9 1992 Hamiltonian structure of the reversible nonsemisimple 1:1 resonance. Zbl 0818.58017 van der Meer, J. C.; Sanders, J. A.; Vanderbauwhede, A. 9 1994 A new transvectant algorithm for nilpotent normal forms. Zbl 1125.34026 Murdock, James; Sanders, Jan A. 8 2007 Normal form in filtered Lie algebra representations. Zbl 1077.34043 Sanders, Jan A. 8 2005 Projection blocks in homogeneous coupled cell networks. Zbl 1362.37101 Nijholt, Eddie; Rink, Bob; Sanders, Jan 8 2017 Nilpotent normal forms and representation theory of sl(2,\({\mathbb{R}})\). Zbl 0604.58005 Cushman, Richard; Sanders, Jan A. 7 1986 On the passage through resonance. Zbl 0462.34038 Sanders, Jan 7 1979 Versal normal form computations and representation theory. Zbl 0804.17018 Sanders, J. A. 7 1994 Splitting algorithm for nilpotent normal forms. Zbl 0655.65068 Cushman, Richard; Sanders, Jan A. 6 1987 Number theory and the symmetry classification of integrable systems. Zbl 1180.35466 Sanders, J. A.; Wang, J. P. 6 2009 The 1:2:1-resonance, its periodic orbits and integrals. Zbl 0407.58027 van der Aa, Els; Sanders, Jan A. 6 1979 Center manifolds of coupled cell networks. Zbl 1415.37034 Nijholt, Eddie; Rink, Bob; Sanders, Jan 6 2019 Stanley decomposition of the joint covariants of three quadratics. Zbl 1229.13008 Sanders, Jan A. 5 2007 On the integrability of systems of second order evolution equations with two components. Zbl 1061.35036 Sanders, Jan A.; Wang, Jing Ping 5 2004 Higher-dimensional automorphic Lie algebras. Zbl 1383.17013 Knibbeler, Vincent; Lombardo, Sara; Sanders, Jan A. 5 2017 Abelian integrals and global Hopf bifurcations. Zbl 0559.34028 Sanders, J. A.; Cushman, R. 4 1985 On testing integrability. Zbl 0996.37071 van der Kamp, Peter H.; Sanders, Jan A. 4 2001 Bifurcation analysis for spherically symmetric systems using invariant theory. Zbl 0889.58069 Lauterbach, Reiner; Sanders, Jan A. 4 1997 On a family of operators and their Lie algebras. Zbl 1062.37082 Sanders, Jan A.; Wang, Jing Ping 4 2002 Vector potential normal form classification for completely integrable solenoidal nilpotent singularities. Zbl 1412.34131 Gazor, Majid; Mokhtari, Fahimeh; Sanders, Jan A. 4 2019 Rimming flow of a viscoelastic liquid inside a rotating horizontal cylinder. Zbl 0477.76005 Sanders, J.; Joseph, D. D.; Beavers, G. S. 3 1981 Combining Maple and Form to decide on integrability questions. Zbl 1001.65132 Sanders, Jan A.; Wang, Jing Ping 3 1998 Asymptotic approximations and extension of time-scales. Zbl 0438.34050 Sanders, Jan A. 3 1980 Nonresonant bifurcations with symmetry. Zbl 0624.34026 Carr, Jack; Sanders, Jan A.; van Gils, Stephan A. 3 1987 A remark on nonlocal symmetries for the Calogero-Degasperis-Ibragimov-Shabat equation. Zbl 1020.35106 Sergyeyev, Artur; Sanders, Jan A. 3 2003 Hodge decomposition and conservation laws. Zbl 1017.35504 Sanders, Jan A.; Wang, Jing Ping 3 1997 Automorphic Lie algebras and cohomology of root systems. Zbl 1459.17011 Knibbeler, Vincent; Lombardo, Sara; Sanders, Jan A. 3 2020 Invariant theory and normal form of Hamiltonian vectorfields with nilpotent linear part. Zbl 0634.58002 Cushman, Richard; Sanders, Jan A. 2 1987 The constrained normal form algorithm. Zbl 0674.70018 Cushman, Richard; Sanders, Jan A. 2 1989 Classification of symmetry-integrable evolution equations. Zbl 0995.35005 Olver, Peter J.; Sanders, Jan A.; Wang, Jing Ping 2 2001 On integrability of evolution equations and representation theory. Zbl 1001.35110 Sanders, Jan A.; Wang, Jing Ping 2 2001 Integrable systems in symplectic geometry. Zbl 1166.37025 Asadi, E.; Sanders, J. A. 2 2009 Approximations of higher order resonances with an application to Contopoulos’ model problem. Zbl 0401.70016 Sanders, Jan A.; Verhulst, Ferdinand 2 1979 Versal normal form for nonsemisimple singularities. Zbl 1416.34031 Mokhtari, Fahimeh; Sanders, Jan A. 2 2019 Hereditary automorphic Lie algebras. Zbl 1484.17007 Knibbeler, Vincent; Lombardo, Sara; Sanders, Jan A. 2 2020 Nilpotent normal form in dimension 4. Zbl 0636.58012 Cushman, Richard; Sanders, Jan A. 1 1987 On the fundamental theorem of averaging. Zbl 0566.34042 Sanders, J. A. 1 1983 Multilinear Hirota operators, modular forms and the Heisenberg algebra. Zbl 0964.35128 Sanders, Jan A. 1 2000 The symbolic method and cosymmetry integrability of evolution equations. Zbl 0963.65127 Sanders, Jan A.; Wang, Jing Ping 1 2000 Normal forms of 3 degree of freedom Hamiltonian systems at equilibrium in the semisimple resonant case. Zbl 1181.37070 Sanders, Jan A. 1 2006 A note on optimal fish harvest. Zbl 0352.90073 Sanders, J. 1 1978 Integrable systems and number theory. Zbl 1042.35069 van der Kamp, Peter H.; Sanders, Jan A.; Top, Jaap 1 2002 Automorphic Lie algebras and cohomology of root systems. Zbl 1459.17011 Knibbeler, Vincent; Lombardo, Sara; Sanders, Jan A. 3 2020 Hereditary automorphic Lie algebras. Zbl 1484.17007 Knibbeler, Vincent; Lombardo, Sara; Sanders, Jan A. 2 2020 Center manifolds of coupled cell networks. Zbl 1415.37034 Nijholt, Eddie; Rink, Bob; Sanders, Jan 6 2019 Vector potential normal form classification for completely integrable solenoidal nilpotent singularities. Zbl 1412.34131 Gazor, Majid; Mokhtari, Fahimeh; Sanders, Jan A. 4 2019 Versal normal form for nonsemisimple singularities. Zbl 1416.34031 Mokhtari, Fahimeh; Sanders, Jan A. 2 2019 Center manifolds of coupled cell networks. Zbl 1379.37093 Nijholt, Eddie; Rink, Bob; Sanders, Jan 11 2017 Projection blocks in homogeneous coupled cell networks. Zbl 1362.37101 Nijholt, Eddie; Rink, Bob; Sanders, Jan 8 2017 Higher-dimensional automorphic Lie algebras. Zbl 1383.17013 Knibbeler, Vincent; Lombardo, Sara; Sanders, Jan A. 5 2017 Graph fibrations and symmetries of network dynamics. Zbl 1378.37054 Nijholt, Eddie; Rink, Bob; Sanders, Jan 22 2016 Coupled cell networks: semigroups, Lie algebras and normal forms. Zbl 1366.37067 Rink, Bob; Sanders, Jan 22 2015 Coupled cell networks and their hidden symmetries. Zbl 1384.37060 Rink, Bob; Sanders, Jan 21 2014 Normal forms for Hopf-zero singularities with nonconservative nonlinear part. Zbl 1266.34066 Gazor, Majid; Mokhtari, Fahimeh; Sanders, Jan A. 16 2013 Amplified Hopf bifurcations in feed-forward networks. Zbl 1291.37089 Rink, Bob W.; Sanders, Jan A. 16 2013 On the classification of automorphic Lie algebras. Zbl 1239.17025 Lombardo, Sara; Sanders, Jan A. 11 2010 Number theory and the symmetry classification of integrable systems. Zbl 1180.35466 Sanders, J. A.; Wang, J. P. 6 2009 Integrable systems in symplectic geometry. Zbl 1166.37025 Asadi, E.; Sanders, J. A. 2 2009 Averaging methods in nonlinear dynamical systems. 2nd ed. Zbl 1128.34001 Sanders, J. A.; Verhulst, F.; Murdock, James 352 2007 A new transvectant algorithm for nilpotent normal forms. Zbl 1125.34026 Murdock, James; Sanders, Jan A. 8 2007 Stanley decomposition of the joint covariants of three quadratics. Zbl 1229.13008 Sanders, Jan A. 5 2007 Normal forms of 3 degree of freedom Hamiltonian systems at equilibrium in the semisimple resonant case. Zbl 1181.37070 Sanders, Jan A. 1 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. 9 2005 Normal form in filtered Lie algebra representations. Zbl 1077.34043 Sanders, Jan A. 8 2005 On the integrability of systems of second order evolution equations with two components. Zbl 1061.35036 Sanders, Jan A.; Wang, Jing Ping 5 2004 Integrable systems in \(n\)-dimensional Riemannian geometry. Zbl 1050.37035 Sanders, Jan A.; Wang, Jing Ping 28 2003 Normal form theory and spectral sequences. Zbl 1039.34032 Sanders, Jan A. 24 2003 A remark on nonlocal symmetries for the Calogero-Degasperis-Ibragimov-Shabat equation. Zbl 1020.35106 Sergyeyev, Artur; Sanders, Jan A. 3 2003 Integrable systems in three-dimensional Riemannian geometry. Zbl 1140.37361 Marí Beffa, Gloria; Sanders, J. A.; Wang, Jing Ping 33 2002 Almost integrable evolution equations. Zbl 1022.35062 van der Kamp, P. H.; Sanders, J. A. 11 2002 On a family of operators and their Lie algebras. Zbl 1062.37082 Sanders, Jan A.; Wang, Jing Ping 4 2002 Integrable systems and number theory. Zbl 1042.35069 van der Kamp, Peter H.; Sanders, Jan A.; Top, Jaap 1 2002 Integrable systems and their recursion operators. Zbl 1042.37531 Sanders, Jan A.; Wang, Jing Ping 25 2001 On integrability of systems of evolution equations. Zbl 1130.35346 Beukers, Frits; Sanders, Jan A.; Wang, Jing Ping 15 2001 On recursion operators. Zbl 0972.35137 Sanders, Jan A.; Wang, Jing Ping 14 2001 On testing integrability. Zbl 0996.37071 van der Kamp, Peter H.; Sanders, Jan A. 4 2001 Classification of symmetry-integrable evolution equations. Zbl 0995.35005 Olver, Peter J.; Sanders, Jan A.; Wang, Jing Ping 2 2001 On integrability of evolution equations and representation theory. Zbl 1001.35110 Sanders, Jan A.; Wang, Jing Ping 2 2001 Transvectants, modular forms, and the Heisenberg algebra. Zbl 1041.11026 Olver, Peter J.; Sanders, Jan A. 14 2000 On the integrability of non-polynomial scalar evolution equations. Zbl 0959.35147 Sanders, Jan A.; Wang, Jing Ping 13 2000 Multilinear Hirota operators, modular forms and the Heisenberg algebra. Zbl 0964.35128 Sanders, Jan A. 1 2000 The symbolic method and cosymmetry integrability of evolution equations. Zbl 0963.65127 Sanders, Jan A.; Wang, Jing Ping 1 2000 On the integrability of homogeneous scalar evolution equations. Zbl 0951.37026 Sanders, Jan A.; Wang, Jing Ping 47 1998 One symmetry does not imply integrability. Zbl 0927.37038 Beukers, Frits; Sanders, Jan A.; Wang, Jing Ping 18 1998 Combining Maple and Form to decide on integrability questions. Zbl 1001.65132 Sanders, Jan A.; Wang, Jing Ping 3 1998 Bifurcation analysis for spherically symmetric systems using invariant theory. Zbl 0889.58069 Lauterbach, Reiner; Sanders, Jan A. 4 1997 Hodge decomposition and conservation laws. Zbl 1017.35504 Sanders, Jan A.; Wang, Jing Ping 3 1997 Hamiltonian structure of the reversible nonsemisimple 1:1 resonance. Zbl 0818.58017 van der Meer, J. C.; Sanders, J. A.; Vanderbauwhede, A. 9 1994 Versal normal form computations and representation theory. Zbl 0804.17018 Sanders, J. A. 7 1994 Further reduction of the Takens-Bogdanov normal form. Zbl 0761.34027 Baider, Alberto; Sanders, Jan A. 61 1992 Unique normal form of the Hamiltonian 1:2 resonance. Zbl 0766.58051 Sanders, J. A.; Van der Meer, J.-C. 9 1992 Unique normal forms: The nilpotent Hamiltonian case. Zbl 0731.58060 Baider, Alberto; Sanders, Jan A. 21 1991 A survey of invariant theory applied to normal forms of vectorfields with nilpotent linear part. Zbl 0712.58053 Cushman, R.; Sanders, J. A. 20 1990 The constrained normal form algorithm. Zbl 0674.70018 Cushman, Richard; Sanders, Jan A. 2 1989 The Stanley decomposition of the harmonic oscillator. Zbl 0669.15006 Billera, L. J.; Cushman, R.; Sanders, J. A. 20 1988 Normal form for the (2;n)-nilpotent vector field, using invariant theory. Zbl 0649.34053 Cushman, R.; Sanders, J. A.; White, N. 12 1988 Splitting algorithm for nilpotent normal forms. Zbl 0655.65068 Cushman, Richard; Sanders, Jan A. 6 1987 Nonresonant bifurcations with symmetry. Zbl 0624.34026 Carr, Jack; Sanders, Jan A.; van Gils, Stephan A. 3 1987 Invariant theory and normal form of Hamiltonian vectorfields with nilpotent linear part. Zbl 0634.58002 Cushman, Richard; Sanders, Jan A. 2 1987 Nilpotent normal form in dimension 4. Zbl 0636.58012 Cushman, Richard; Sanders, Jan A. 1 1987 On the number of critical points of the period. Zbl 0594.34028 Chow, S.-N.; Sanders, J. A. 48 1986 Limit cycles in the Josephson equation. Zbl 0604.58041 Sanders, Jan A.; Cushman, Richard 17 1986 Nilpotent normal forms and representation theory of sl(2,\({\mathbb{R}})\). Zbl 0604.58005 Cushman, Richard; Sanders, Jan A. 7 1986 Averaging methods in nonlinear dynamical systems. Zbl 0586.34040 Sanders, J. A.; Verhulst, F. 338 1985 A codimension two bifurcation with a third order Picard-Fuchs equation. Zbl 0571.34021 Cushman, R.; Sanders, J. A. 24 1985 Abelian integrals and global Hopf bifurcations. Zbl 0559.34028 Sanders, J. A.; Cushman, R. 4 1985 On the fundamental theorem of averaging. Zbl 0566.34042 Sanders, J. A. 1 1983 Melnikov’s method and averaging. Zbl 0552.34038 Sanders, Jan A. 26 1982 Rimming flow of a viscoelastic liquid inside a rotating horizontal cylinder. Zbl 0477.76005 Sanders, J.; Joseph, D. D.; Beavers, G. S. 3 1981 Asymptotic approximations and extension of time-scales. Zbl 0438.34050 Sanders, Jan A. 3 1980 On the passage through resonance. Zbl 0462.34038 Sanders, Jan 7 1979 The 1:2:1-resonance, its periodic orbits and integrals. Zbl 0407.58027 van der Aa, Els; Sanders, Jan A. 6 1979 Approximations of higher order resonances with an application to Contopoulos’ model problem. Zbl 0401.70016 Sanders, Jan A.; Verhulst, Ferdinand 2 1979 A note on optimal fish harvest. Zbl 0352.90073 Sanders, J. 1 1978 Are higher order resonances really interesting? Zbl 0377.70015 Sanders, Jan 18 1977 all cited Publications top 5 cited Publications all top 5 Cited by 1,455 Authors 78 Llibre, Jaume 31 Sanders, Jan A. 22 Verhulst, Ferdinand 20 Wang, Jingping 15 Novaes, Douglas Duarte 15 Yu, Pei 14 Chartier, Philippe 12 Makhlouf, Amar 12 Mikhailov, Alexander Vasil’evich 11 Gazor, Majid 11 Méhats, Florian 10 Algaba, Antonio 10 Broer, Henk W. 10 Giné, Jaume 10 Han, Maoan 10 Hanßmann, Heinz 10 Murdock, James A. 10 Nijholt, Eddie 10 Palacián, Jesús F. 10 Rink, Bob W. 10 Wang, Duo 9 Murua, Ander 9 Pucacco, Giuseppe 9 Valls Anglés, Cláudia 9 Yanguas, Patricia 9 Zhao, Yulin 8 Anco, Stephen C. 8 Danca, Marius-Florin 8 Sanz-Serna, Jesús María 8 Wilson, Dan D. 7 García, Cristóbal 7 Hoveijn, Igor 7 Lemou, Mohammed 7 Reyes, Enrique G. 7 Teixeira, Marco Antonio 6 Aguiar, Manuela A. D. 6 Cândido, Murilo R. 6 Chicone, Carmen C. 6 Fečkan, Michal 6 García, Isaac A. 6 Gasull, Armengol 6 Haller, George 6 Huang, Bo 6 Jing, Zhujun 6 Li, Chengzhi 6 Marí Beffa, Gloria 6 Mazrooei-Sebdani, Reza 6 Nešić, Dragan 6 Qu, Changzheng 6 Vidal, Claudio 5 Chen, Aiyong 5 Chen, Guanrong 5 Chen, Guoting 5 Christov, Ognyan 5 Dias, Ana Paula S. 5 Dumortier, Freddy 5 Euler, Marianna 5 Euler, Norbert 5 Ferrer, Sebastián 5 Kifer, Yuri 5 Li, Shimin 5 Lombardo, Sara 5 Marchesiello, Antonella 5 Mareels, Iven M. Y. 5 Messias, Marcelo 5 Papamikos, Georgios A. 5 Sokolov, Vladimir Vyacheslavovich 5 van der Kamp, Peter H. 5 Vegter, Gert 5 Żołądek, Henryk 4 Ariel, Gil 4 Avendaño-Camacho, Misael 4 Bakri, Taoufik 4 Castella, François 4 Crouseilles, Nicolas 4 Engquist, Bjorn E. 4 Foursov, Mikhail V. 4 Gaeta, Giuseppe 4 Gamero, Estanislao 4 Gazzola, Filippo 4 Hakimi, Elham 4 Hereman, Willy A. 4 Knibbeler, Vincent 4 Kühn, Christian 4 Li, Jing 4 Li, Wenlei 4 Matthies, Karsten 4 Miranda Martins, Ricardo 4 Mokhtari, Fahimeh 4 Oliveira, Regilene D. S. 4 Olver, Peter John 4 Pereira, Tiago Leite 4 Pevzner, Michael 4 M-Seara, Tere 4 Shen, Yongjun 4 Shi, Shaoyun 4 Soares, Pedro Tiago da Costa 4 Stróżyna, Ewa 4 Teel, Andrew Richard 4 Torregrosa, Joan ...and 1,355 more Authors all top 5 Cited in 241 Serials 95 Journal of Differential Equations 63 Physica D 48 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 44 Nonlinear Dynamics 30 Journal of Mathematical Physics 22 Journal of Mathematical Analysis and Applications 21 Chaos 19 Chaos, Solitons and Fractals 19 Journal of Geometry and Physics 19 Journal of Nonlinear Mathematical Physics 16 Nonlinearity 15 Applied Mathematics and Computation 15 Celestial Mechanics and Dynamical Astronomy 15 Journal of Nonlinear Science 14 Automatica 14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 SIAM Journal on Applied Dynamical Systems 13 Regular and Chaotic Dynamics 13 Qualitative Theory of Dynamical Systems 13 Discrete and Continuous Dynamical Systems. Series B 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Journal of Dynamics and Differential Equations 11 Communications in Mathematical Physics 11 Communications in Nonlinear Science and Numerical Simulation 10 Studies in Applied Mathematics 10 Journal of Symbolic Computation 9 Journal of Mathematical Biology 9 Physics Letters. A 9 Journal of Computational and Applied Mathematics 9 Acta Applicandae Mathematicae 8 Mathematics and Computers in Simulation 8 Discrete and Continuous Dynamical Systems 8 Journal of Dynamical and Control Systems 8 Dynamical Systems 8 Foundations of Computational Mathematics 7 Theoretical and Mathematical Physics 7 Proceedings of the American Mathematical Society 7 Systems & Control Letters 7 Acta Mathematicae Applicatae Sinica. English Series 7 Bulletin des Sciences Mathématiques 6 Mathematical Methods in the Applied Sciences 6 Transactions of the American Mathematical Society 6 Nonlinear Analysis. Real World Applications 5 Acta Mechanica 5 Computers & Mathematics with Applications 5 Meccanica 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Mathematical Problems in Engineering 5 Multiscale Modeling & Simulation 5 International Journal of Geometric Methods in Modern Physics 5 Journal of Physics A: Mathematical and Theoretical 5 Discrete and Continuous Dynamical Systems. Series S 5 Nonlinear Analysis. Theory, Methods & Applications 5 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Ergodic Theory and Dynamical Systems 4 Applied Mathematics and Mechanics. (English Edition) 4 Applied Mathematics Letters 4 MCSS. Mathematics of Control, Signals, and Systems 4 Applied Mathematical Modelling 4 Celestial Mechanics 4 Indagationes Mathematicae. New Series 4 Vestnik St. Petersburg University. Mathematics 4 Journal of Mathematical Sciences (New York) 4 Differential Equations and Dynamical Systems 4 Communications on Pure and Applied Analysis 4 Journal of Applied Analysis and Computation 3 Classical and Quantum Gravity 3 Computer Physics Communications 3 International Journal of Control 3 Journal of Computational Physics 3 Journal of Fluid Mechanics 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 Applied Numerical Mathematics 3 Discrete & Computational Geometry 3 European Journal of Applied Mathematics 3 Differential Geometry and its Applications 3 International Journal of Computer Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 SIAM Journal on Mathematical Analysis 3 SIAM Review 3 Stochastic Processes and their Applications 3 International Journal of Robust and Nonlinear Control 3 SIAM Journal on Scientific Computing 3 Russian Journal of Mathematical Physics 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 Journal of Applied Mathematics 3 Mediterranean Journal of Mathematics 3 Waves in Random and Complex Media 3 Japanese Journal of Mathematics. 3rd Series 3 Advances in Mathematical Physics ...and 141 more Serials all top 5 Cited in 52 Fields 562 Ordinary differential equations (34-XX) 475 Dynamical systems and ergodic theory (37-XX) 212 Mechanics of particles and systems (70-XX) 183 Partial differential equations (35-XX) 64 Numerical analysis (65-XX) 56 Systems theory; control (93-XX) 49 Biology and other natural sciences (92-XX) 43 Differential geometry (53-XX) 36 Fluid mechanics (76-XX) 30 Mechanics of deformable solids (74-XX) 28 Probability theory and stochastic processes (60-XX) 26 Combinatorics (05-XX) 25 Nonassociative rings and algebras (17-XX) 24 Computer science (68-XX) 24 Statistical mechanics, structure of matter (82-XX) 21 Quantum theory (81-XX) 20 Global analysis, analysis on manifolds (58-XX) 18 Operator theory (47-XX) 14 Commutative algebra (13-XX) 13 Optics, electromagnetic theory (78-XX) 12 Difference and functional equations (39-XX) 12 Geophysics (86-XX) 11 Number theory (11-XX) 11 Topological groups, Lie groups (22-XX) 10 Algebraic geometry (14-XX) 10 Convex and discrete geometry (52-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Relativity and gravitational theory (83-XX) 8 Group theory and generalizations (20-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Associative rings and algebras (16-XX) 7 Astronomy and astrophysics (85-XX) 7 Information and communication theory, circuits (94-XX) 5 Integral equations (45-XX) 5 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 History and biography (01-XX) 4 Real functions (26-XX) 4 Approximations and expansions (41-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Measure and integration (28-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Special functions (33-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Algebraic topology (55-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year