Edit Profile (opens in new tab) Sanders, Jan A. Compute Distance To: Compute Author ID: sanders.jan-a Published as: Sanders, Jan A.; Sanders, J. A.; Sanders, Jan Documents Indexed: 84 Publications since 1974, including 3 Books Co-Authors: 28 Co-Authors with 67 Joint Publications 641 Co-Co-Authors all top 5 Co-Authors 16 single-authored 20 Wang, Jingping 11 Cushman, Richard H. 7 Rink, Bob W. 4 Lombardo, Sara 4 Mokhtari, Fahimeh 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 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 71 Publications have been cited 1,315 times in 1,000 Documents Cited by ▼ Year ▼ Averaging methods in nonlinear dynamical systems. Zbl 0586.34040Sanders, J. A.; Verhulst, F. 296 1985 Averaging methods in nonlinear dynamical systems. 2nd ed. Zbl 1128.34001Sanders, J. A.; Verhulst, F.; Murdock, James 296 2007 Further reduction of the Takens-Bogdanov normal form. Zbl 0761.34027Baider, Alberto; Sanders, Jan A. 58 1992 On the number of critical points of the period. Zbl 0594.34028Chow, S.-N.; Sanders, J. A. 46 1986 On the integrability of homogeneous scalar evolution equations. Zbl 0951.37026Sanders, Jan A.; Wang, Jing Ping 42 1998 Integrable systems in three-dimensional Riemannian geometry. Zbl 1140.37361Marí Beffa, Gloria; Sanders, J. A.; Wang, Jing Ping 29 2002 Integrable systems in \(n\)-dimensional Riemannian geometry. Zbl 1050.37035Sanders, Jan A.; Wang, Jing Ping 28 2003 Melnikov’s method and averaging. Zbl 0552.34038Sanders, Jan A. 24 1982 Normal form theory and spectral sequences. Zbl 1039.34032Sanders, Jan A. 22 2003 A codimension two bifurcation with a third order Picard-Fuchs equation. Zbl 0571.34021Cushman, R.; Sanders, J. A. 22 1985 Integrable systems and their recursion operators. Zbl 1042.37531Sanders, Jan A.; Wang, Jing Ping 21 2001 Unique normal forms: The nilpotent Hamiltonian case. Zbl 0731.58060Baider, Alberto; Sanders, Jan A. 21 1991 Coupled cell networks: semigroups, Lie algebras and normal forms. Zbl 1366.37067Rink, Bob; Sanders, Jan 20 2015 A survey of invariant theory applied to normal forms of vectorfields with nilpotent linear part. Zbl 0712.58053Cushman, R.; Sanders, J. A. 20 1990 Graph fibrations and symmetries of network dynamics. Zbl 1378.37054Nijholt, Eddie; Rink, Bob; Sanders, Jan 19 2016 Coupled cell networks and their hidden symmetries. Zbl 1384.37060Rink, Bob; Sanders, Jan 19 2014 The Stanley decomposition of the harmonic oscillator. Zbl 0669.15006Billera, L. J.; Cushman, R.; Sanders, J. A. 18 1988 One symmetry does not imply integrability. Zbl 0927.37038Beukers, Frits; Sanders, Jan A.; Wang, Jing Ping 17 1998 Amplified Hopf bifurcations in feed-forward networks. Zbl 1291.37089Rink, Bob W.; Sanders, Jan A. 15 2013 Are higher order resonances really interesting? Zbl 0377.70015Sanders, Jan 14 1977 On recursion operators. Zbl 0972.35137Sanders, Jan A.; Wang, Jing Ping 14 2001 Limit cycles in the Josephson equation. Zbl 0604.58041Sanders, Jan A.; Cushman, Richard 14 1986 Transvectants, modular forms, and the Heisenberg algebra. Zbl 1041.11026Olver, Peter J.; Sanders, Jan A. 13 2000 Normal form for the (2;n)-nilpotent vector field, using invariant theory. Zbl 0649.34053Cushman, R.; Sanders, J. A.; White, N. 12 1988 On the integrability of non-polynomial scalar evolution equations. Zbl 0959.35147Sanders, Jan A.; Wang, Jing Ping 11 2000 Normal forms for Hopf-zero singularities with nonconservative nonlinear part. Zbl 1266.34066Gazor, Majid; Mokhtari, Fahimeh; Sanders, Jan A. 11 2013 On integrability of systems of evolution equations. Zbl 1130.35346Beukers, Frits; Sanders, Jan A.; Wang, Jing Ping 10 2001 On the classification of automorphic Lie algebras. Zbl 1239.17025Lombardo, Sara; Sanders, Jan A. 10 2010 Center manifolds of coupled cell networks. Zbl 1379.37093Nijholt, Eddie; Rink, Bob; Sanders, Jan 10 2017 Symbolic computation of polynomial conserved densities, generalized symmetries, and recursion operators for nonlinear differential-difference equations. Zbl 1080.65119Hereman, W.; Sanders, J. A.; Sayers, J.; Wang, J. P. 9 2005 Hamiltonian structure of the reversible nonsemisimple 1:1 resonance. Zbl 0818.58017van der Meer, J. C.; Sanders, J. A.; Vanderbauwhede, A. 9 1994 Unique normal form of the Hamiltonian 1:2 resonance. Zbl 0766.58051Sanders, J. A.; Van der Meer, J.-C. 9 1992 Almost integrable evolution equations. Zbl 1022.35062van der Kamp, P. H.; Sanders, J. A. 9 2002 Normal form in filtered Lie algebra representations. Zbl 1077.34043Sanders, Jan A. 8 2005 A new transvectant algorithm for nilpotent normal forms. Zbl 1125.34026Murdock, James; Sanders, Jan A. 8 2007 Versal normal form computations and representation theory. Zbl 0804.17018Sanders, J. A. 7 1994 Nilpotent normal forms and representation theory of sl(2,\({\mathbb{R}})\). Zbl 0604.58005Cushman, Richard; Sanders, Jan A. 7 1986 Projection blocks in homogeneous coupled cell networks. Zbl 1362.37101Nijholt, Eddie; Rink, Bob; Sanders, Jan 7 2017 On the passage through resonance. Zbl 0462.34038Sanders, Jan 7 1979 Splitting algorithm for nilpotent normal forms. Zbl 0655.65068Cushman, Richard; Sanders, Jan A. 6 1987 The 1:2:1-resonance, its periodic orbits and integrals. Zbl 0407.58027van der Aa, Els; Sanders, Jan A. 6 1979 Number theory and the symmetry classification of integrable systems. Zbl 1180.35466Sanders, J. A.; Wang, J. P. 6 2009 Stanley decomposition of the joint covariants of three quadratics. Zbl 1229.13008Sanders, Jan A. 5 2007 Bifurcation analysis for spherically symmetric systems using invariant theory. Zbl 0889.58069Lauterbach, Reiner; Sanders, Jan A. 4 1997 Abelian integrals and global Hopf bifurcations. Zbl 0559.34028Sanders, J. A.; Cushman, R. 4 1985 Nonresonant bifurcations with symmetry. Zbl 0624.34026Carr, Jack; Sanders, Jan A.; van Gils, Stephan A. 3 1987 On testing integrability. Zbl 0996.37071van der Kamp, Peter H.; Sanders, Jan A. 3 2001 A remark on nonlocal symmetries for the Calogero-Degasperis-Ibragimov-Shabat equation. Zbl 1020.35106Sergyeyev, Artur; Sanders, Jan A. 3 2003 On the integrability of systems of second order evolution equations with two components. Zbl 1061.35036Sanders, Jan A.; Wang, Jing Ping 3 2004 Center manifolds of coupled cell networks. Zbl 1415.37034Nijholt, Eddie; Rink, Bob; Sanders, Jan 3 2019 Higher-dimensional automorphic Lie algebras. Zbl 1383.17013Knibbeler, Vincent; Lombardo, Sara; Sanders, Jan A. 3 2017 Rimming flow of a viscoelastic liquid inside a rotating horizontal cylinder. Zbl 0477.76005Sanders, J.; Joseph, D. D.; Beavers, G. S. 3 1981 Asymptotic approximations and extension of time-scales. Zbl 0438.34050Sanders, Jan A. 3 1980 Invariant theory and normal form of Hamiltonian vectorfields with nilpotent linear part. Zbl 0634.58002Cushman, Richard; Sanders, Jan A. 2 1987 On integrability of evolution equations and representation theory. Zbl 1001.35110Sanders, Jan A.; Wang, Jing Ping 2 2001 Vector potential normal form classification for completely integrable solenoidal nilpotent singularities. Zbl 1412.34131Gazor, Majid; Mokhtari, Fahimeh; Sanders, Jan A. 2 2019 Hodge decomposition and conservation laws. Zbl 1017.35504Sanders, Jan A.; Wang, Jing Ping 2 1997 Combining Maple and Form to decide on integrability questions. Zbl 1001.65132Sanders, Jan A.; Wang, Jing Ping 2 1998 Integrable systems in symplectic geometry. Zbl 1166.37025Asadi, E.; Sanders, J. A. 2 2009 Automorphic Lie algebras and cohomology of root systems. Zbl 1459.17011Knibbeler, Vincent; Lombardo, Sara; Sanders, Jan A. 2 2020 Classification of symmetry-integrable evolution equations. Zbl 0995.35005Olver, Peter J.; Sanders, Jan A.; Wang, Jing Ping 2 2001 On a family of operators and their Lie algebras. Zbl 1062.37082Sanders, Jan A.; Wang, Jing Ping 2 2002 The constrained normal form algorithm. Zbl 0674.70018Cushman, Richard; Sanders, Jan A. 2 1989 Nilpotent normal form in dimension 4. Zbl 0636.58012Cushman, Richard; Sanders, Jan A. 1 1987 Integrable systems and number theory. Zbl 1042.35069van der Kamp, Peter H.; Sanders, Jan A.; Top, Jaap 1 2002 Approximations of higher order resonances with an application to Contopoulos’ model problem. Zbl 0401.70016Sanders, Jan A.; Verhulst, Ferdinand 1 1979 On the fundamental theorem of averaging. Zbl 0566.34042Sanders, J. A. 1 1983 Multilinear Hirota operators, modular forms and the Heisenberg algebra. Zbl 0964.35128Sanders, Jan A. 1 2000 A note on optimal fish harvest. Zbl 0352.90073Sanders, J. 1 1978 Versal normal form for nonsemisimple singularities. Zbl 1416.34031Mokhtari, Fahimeh; Sanders, Jan A. 1 2019 Normal forms of 3 degree of freedom Hamiltonian systems at equilibrium in the semisimple resonant case. Zbl 1181.37070Sanders, Jan A. 1 2006 Automorphic Lie algebras and cohomology of root systems. Zbl 1459.17011Knibbeler, Vincent; Lombardo, Sara; Sanders, Jan A. 2 2020 Center manifolds of coupled cell networks. Zbl 1415.37034Nijholt, Eddie; Rink, Bob; Sanders, Jan 3 2019 Vector potential normal form classification for completely integrable solenoidal nilpotent singularities. Zbl 1412.34131Gazor, Majid; Mokhtari, Fahimeh; Sanders, Jan A. 2 2019 Versal normal form for nonsemisimple singularities. Zbl 1416.34031Mokhtari, Fahimeh; Sanders, Jan A. 1 2019 Center manifolds of coupled cell networks. Zbl 1379.37093Nijholt, Eddie; Rink, Bob; Sanders, Jan 10 2017 Projection blocks in homogeneous coupled cell networks. Zbl 1362.37101Nijholt, Eddie; Rink, Bob; Sanders, Jan 7 2017 Higher-dimensional automorphic Lie algebras. Zbl 1383.17013Knibbeler, Vincent; Lombardo, Sara; Sanders, Jan A. 3 2017 Graph fibrations and symmetries of network dynamics. Zbl 1378.37054Nijholt, Eddie; Rink, Bob; Sanders, Jan 19 2016 Coupled cell networks: semigroups, Lie algebras and normal forms. Zbl 1366.37067Rink, Bob; Sanders, Jan 20 2015 Coupled cell networks and their hidden symmetries. Zbl 1384.37060Rink, Bob; Sanders, Jan 19 2014 Amplified Hopf bifurcations in feed-forward networks. Zbl 1291.37089Rink, Bob W.; Sanders, Jan A. 15 2013 Normal forms for Hopf-zero singularities with nonconservative nonlinear part. Zbl 1266.34066Gazor, Majid; Mokhtari, Fahimeh; Sanders, Jan A. 11 2013 On the classification of automorphic Lie algebras. Zbl 1239.17025Lombardo, Sara; Sanders, Jan A. 10 2010 Number theory and the symmetry classification of integrable systems. Zbl 1180.35466Sanders, J. A.; Wang, J. P. 6 2009 Integrable systems in symplectic geometry. Zbl 1166.37025Asadi, E.; Sanders, J. A. 2 2009 Averaging methods in nonlinear dynamical systems. 2nd ed. Zbl 1128.34001Sanders, J. A.; Verhulst, F.; Murdock, James 296 2007 A new transvectant algorithm for nilpotent normal forms. Zbl 1125.34026Murdock, James; Sanders, Jan A. 8 2007 Stanley decomposition of the joint covariants of three quadratics. Zbl 1229.13008Sanders, Jan A. 5 2007 Normal forms of 3 degree of freedom Hamiltonian systems at equilibrium in the semisimple resonant case. Zbl 1181.37070Sanders, Jan A. 1 2006 Symbolic computation of polynomial conserved densities, generalized symmetries, and recursion operators for nonlinear differential-difference equations. Zbl 1080.65119Hereman, W.; Sanders, J. A.; Sayers, J.; Wang, J. P. 9 2005 Normal form in filtered Lie algebra representations. Zbl 1077.34043Sanders, Jan A. 8 2005 On the integrability of systems of second order evolution equations with two components. Zbl 1061.35036Sanders, Jan A.; Wang, Jing Ping 3 2004 Integrable systems in \(n\)-dimensional Riemannian geometry. Zbl 1050.37035Sanders, Jan A.; Wang, Jing Ping 28 2003 Normal form theory and spectral sequences. Zbl 1039.34032Sanders, Jan A. 22 2003 A remark on nonlocal symmetries for the Calogero-Degasperis-Ibragimov-Shabat equation. Zbl 1020.35106Sergyeyev, Artur; Sanders, Jan A. 3 2003 Integrable systems in three-dimensional Riemannian geometry. Zbl 1140.37361Marí Beffa, Gloria; Sanders, J. A.; Wang, Jing Ping 29 2002 Almost integrable evolution equations. Zbl 1022.35062van der Kamp, P. H.; Sanders, J. A. 9 2002 On a family of operators and their Lie algebras. Zbl 1062.37082Sanders, Jan A.; Wang, Jing Ping 2 2002 Integrable systems and number theory. Zbl 1042.35069van der Kamp, Peter H.; Sanders, Jan A.; Top, Jaap 1 2002 Integrable systems and their recursion operators. Zbl 1042.37531Sanders, Jan A.; Wang, Jing Ping 21 2001 On recursion operators. Zbl 0972.35137Sanders, Jan A.; Wang, Jing Ping 14 2001 On integrability of systems of evolution equations. Zbl 1130.35346Beukers, Frits; Sanders, Jan A.; Wang, Jing Ping 10 2001 On testing integrability. Zbl 0996.37071van der Kamp, Peter H.; Sanders, Jan A. 3 2001 On integrability of evolution equations and representation theory. Zbl 1001.35110Sanders, Jan A.; Wang, Jing Ping 2 2001 Classification of symmetry-integrable evolution equations. Zbl 0995.35005Olver, Peter J.; Sanders, Jan A.; Wang, Jing Ping 2 2001 Transvectants, modular forms, and the Heisenberg algebra. Zbl 1041.11026Olver, Peter J.; Sanders, Jan A. 13 2000 On the integrability of non-polynomial scalar evolution equations. Zbl 0959.35147Sanders, Jan A.; Wang, Jing Ping 11 2000 Multilinear Hirota operators, modular forms and the Heisenberg algebra. Zbl 0964.35128Sanders, Jan A. 1 2000 On the integrability of homogeneous scalar evolution equations. Zbl 0951.37026Sanders, Jan A.; Wang, Jing Ping 42 1998 One symmetry does not imply integrability. Zbl 0927.37038Beukers, Frits; Sanders, Jan A.; Wang, Jing Ping 17 1998 Combining Maple and Form to decide on integrability questions. Zbl 1001.65132Sanders, Jan A.; Wang, Jing Ping 2 1998 Bifurcation analysis for spherically symmetric systems using invariant theory. Zbl 0889.58069Lauterbach, Reiner; Sanders, Jan A. 4 1997 Hodge decomposition and conservation laws. Zbl 1017.35504Sanders, Jan A.; Wang, Jing Ping 2 1997 Hamiltonian structure of the reversible nonsemisimple 1:1 resonance. Zbl 0818.58017van der Meer, J. C.; Sanders, J. A.; Vanderbauwhede, A. 9 1994 Versal normal form computations and representation theory. Zbl 0804.17018Sanders, J. A. 7 1994 Further reduction of the Takens-Bogdanov normal form. Zbl 0761.34027Baider, Alberto; Sanders, Jan A. 58 1992 Unique normal form of the Hamiltonian 1:2 resonance. Zbl 0766.58051Sanders, J. A.; Van der Meer, J.-C. 9 1992 Unique normal forms: The nilpotent Hamiltonian case. Zbl 0731.58060Baider, Alberto; Sanders, Jan A. 21 1991 A survey of invariant theory applied to normal forms of vectorfields with nilpotent linear part. Zbl 0712.58053Cushman, R.; Sanders, J. A. 20 1990 The constrained normal form algorithm. Zbl 0674.70018Cushman, Richard; Sanders, Jan A. 2 1989 The Stanley decomposition of the harmonic oscillator. Zbl 0669.15006Billera, L. J.; Cushman, R.; Sanders, J. A. 18 1988 Normal form for the (2;n)-nilpotent vector field, using invariant theory. Zbl 0649.34053Cushman, R.; Sanders, J. A.; White, N. 12 1988 Splitting algorithm for nilpotent normal forms. Zbl 0655.65068Cushman, Richard; Sanders, Jan A. 6 1987 Nonresonant bifurcations with symmetry. Zbl 0624.34026Carr, Jack; Sanders, Jan A.; van Gils, Stephan A. 3 1987 Invariant theory and normal form of Hamiltonian vectorfields with nilpotent linear part. Zbl 0634.58002Cushman, Richard; Sanders, Jan A. 2 1987 Nilpotent normal form in dimension 4. Zbl 0636.58012Cushman, Richard; Sanders, Jan A. 1 1987 On the number of critical points of the period. Zbl 0594.34028Chow, S.-N.; Sanders, J. A. 46 1986 Limit cycles in the Josephson equation. Zbl 0604.58041Sanders, Jan A.; Cushman, Richard 14 1986 Nilpotent normal forms and representation theory of sl(2,\({\mathbb{R}})\). Zbl 0604.58005Cushman, Richard; Sanders, Jan A. 7 1986 Averaging methods in nonlinear dynamical systems. Zbl 0586.34040Sanders, J. A.; Verhulst, F. 296 1985 A codimension two bifurcation with a third order Picard-Fuchs equation. Zbl 0571.34021Cushman, R.; Sanders, J. A. 22 1985 Abelian integrals and global Hopf bifurcations. Zbl 0559.34028Sanders, J. A.; Cushman, R. 4 1985 On the fundamental theorem of averaging. Zbl 0566.34042Sanders, J. A. 1 1983 Melnikov’s method and averaging. Zbl 0552.34038Sanders, Jan A. 24 1982 Rimming flow of a viscoelastic liquid inside a rotating horizontal cylinder. Zbl 0477.76005Sanders, J.; Joseph, D. D.; Beavers, G. S. 3 1981 Asymptotic approximations and extension of time-scales. Zbl 0438.34050Sanders, Jan A. 3 1980 On the passage through resonance. Zbl 0462.34038Sanders, Jan 7 1979 The 1:2:1-resonance, its periodic orbits and integrals. Zbl 0407.58027van der Aa, Els; Sanders, Jan A. 6 1979 Approximations of higher order resonances with an application to Contopoulos’ model problem. Zbl 0401.70016Sanders, Jan A.; Verhulst, Ferdinand 1 1979 A note on optimal fish harvest. Zbl 0352.90073Sanders, J. 1 1978 Are higher order resonances really interesting? Zbl 0377.70015Sanders, Jan 14 1977 all cited Publications top 5 cited Publications all top 5 Cited by 1,280 Authors 70 Llibre, Jaume 30 Sanders, Jan A. 21 Verhulst, Ferdinand 18 Wang, Jingping 14 Yu, Pei 12 Chartier, Philippe 12 Novaes, Douglas Duarte 10 Algaba, Antonio 10 Hanßmann, Heinz 10 Méhats, Florian 10 Murdock, James A. 10 Palacián, Jesús F. 10 Wang, Duo 9 Han, Maoan 9 Mikhailov, Alexander Vasil’evich 9 Valls Anglés, Cláudia 9 Yanguas, Patricia 9 Zhao, Yulin 8 Anco, Stephen C. 8 Broer, Henk W. 8 Danca, Marius-Florin 8 Gazor, Majid 8 Giné, Jaume 8 Makhlouf, Amar 8 Murua, Ander 8 Pucacco, Giuseppe 8 Rink, Bob W. 7 García, Cristóbal 7 Hoveijn, Igor 7 Nijholt, Eddie 7 Reyes, Enrique G. 7 Wilson, Dan D. 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 Mazrooei-Sebdani, Reza 6 Nešić, Dragan 6 Sanz-Serna, Jesús María 6 Teixeira, Marco Antonio 6 Vidal, Claudio 6 Wazwaz, Abdul-Majid Abdul-Rahman 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 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 Castella, François 4 Chen, Aiyong 4 Crouseilles, Nicolas 4 Foursov, Mikhail V. 4 Gaeta, Giuseppe 4 Gamero, Estanislao 4 Gazzola, Filippo 4 Hakimi, Elham 4 Hereman, Willy A. 4 Li, Jing 4 Messias, Marcelo 4 Miranda Martins, Ricardo 4 Mokhtari, Fahimeh 4 Oliveira, Regilene D. S. 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 Buzzi, Claudio Aguinaldo ...and 1,180 more Authors all top 5 Cited in 211 Serials 94 Journal of Differential Equations 57 Physica D 46 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 Chaos, Solitons and Fractals 17 Journal of Geometry and Physics 15 Applied Mathematics and Computation 15 Journal of Nonlinear Science 14 Nonlinearity 14 Celestial Mechanics and Dynamical Astronomy 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Regular and Chaotic Dynamics 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Journal of Dynamics and Differential Equations 12 Qualitative Theory of Dynamical Systems 12 SIAM Journal on Applied Dynamical Systems 11 Automatica 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 9 Communications in Nonlinear Science and Numerical Simulation 9 Discrete and Continuous Dynamical Systems. Series B 8 Communications in Mathematical Physics 8 Mathematics and Computers in Simulation 8 Dynamical Systems 8 Foundations of Computational Mathematics 7 Theoretical and Mathematical Physics 7 Acta Mathematicae Applicatae Sinica. English Series 7 Bulletin des Sciences Mathématiques 7 Discrete and Continuous Dynamical Systems 6 Journal of Mathematical Biology 6 Mathematical Methods in the Applied Sciences 6 Transactions of the American Mathematical Society 6 Nonlinear Analysis. Real World Applications 5 Acta Mechanica 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 5 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 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 Discrete and Continuous Dynamical Systems. Series S 4 Journal of Applied Analysis and Computation 4 Nonlinear Analysis. Theory, Methods & Applications 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 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 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 2 Biological Cybernetics 2 Classical and Quantum Gravity 2 Computers and Fluids 2 Computer Physics Communications 2 Journal of Applied Mathematics and Mechanics 2 Journal of Engineering Mathematics 2 Reports on Mathematical Physics 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Mathematics of Computation ...and 111 more Serials all top 5 Cited in 51 Fields 502 Ordinary differential equations (34-XX) 431 Dynamical systems and ergodic theory (37-XX) 195 Mechanics of particles and systems (70-XX) 161 Partial differential equations (35-XX) 53 Numerical analysis (65-XX) 48 Systems theory; control (93-XX) 42 Biology and other natural sciences (92-XX) 39 Differential geometry (53-XX) 33 Fluid mechanics (76-XX) 27 Mechanics of deformable solids (74-XX) 24 Nonassociative rings and algebras (17-XX) 21 Combinatorics (05-XX) 21 Probability theory and stochastic processes (60-XX) 21 Statistical mechanics, structure of matter (82-XX) 18 Computer science (68-XX) 17 Global analysis, analysis on manifolds (58-XX) 17 Quantum theory (81-XX) 14 Commutative algebra (13-XX) 14 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 Associative rings and algebras (16-XX) 7 Relativity and gravitational theory (83-XX) 7 Astronomy and astrophysics (85-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Group theory and generalizations (20-XX) 6 Calculus of variations and optimal control; optimization (49-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) 5 Information and communication theory, circuits (94-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Functions of a complex variable (30-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-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) Citations by Year