Edit Profile (opens in new tab) Verhulst, Ferdinand Compute Distance To: Compute Author ID: verhulst.ferdinand Published as: Verhulst, Ferdinand; Verhulst, F. Homepage: https://webspace.science.uu.nl/~verhu101/ External Links: MGP · Google Scholar · ResearchGate · dblp Documents Indexed: 102 Publications since 1970, including 9 Books 4 Contributions as Editor · 4 Further Contributions Reviewing Activity: 28 Reviews Co-Authors: 41 Co-Authors with 53 Joint Publications 572 Co-Co-Authors all top 5 Co-Authors 52 single-authored 6 Bakri, Taoufik 5 Kirillov, Oleg N. 4 Tondl, Aleš 4 Tuwankotta, Johan M. 3 Broer, Henk W. 3 Sanders, Jan A. 2 Bruggeman, Roelof Wichert 2 Hoveijn, Igor 2 Hut, Piet 2 Huveneers, R. J. A. G. 2 Kuznetsov, Yuri Alexandrovich 2 Nabergoj, Radoslav 2 Ruijgrok, M. 2 Verhoef, Nellie 1 Aarseth, Sverre Johannes 1 Abadi 1 Abdulwahed, C. 1 Andriesse, Cees 1 Bartlett, James H. jun. 1 Baumgarte, Joachim W. 1 Boon, Peter 1 Doedel, Eusebius J. 1 Doelman, Arjen 1 Dohnal, Fadi 1 Eckhaus, Wiktor 1 Fatimah, Siti 1 Grasman, Johan 1 Hanßmann, Heinz 1 Heijnekamp, J. J. 1 Kindt, Martin 1 Kirchgraber, Urs 1 Kleijne, Wim 1 Konings, Ton 1 Krol, M. S. 1 Magnenat, Pierre 1 Makarenkov, Oleg Yuryĭovych 1 Martinet, L. 1 Mazrooei-Sebdani, Reza 1 Meijer, Hil G. E. 1 Melissen, Hans J. B. M. 1 Murdock, James A. 1 Poincaré, Henri 1 Rink, Bob W. 1 Ruijgrok, Thijs 1 Shih, Shagi-Di 1 Sigrist, Niklaus 1 Stiefel, Eduard L. 1 Stroucken, A. C. J. 1 Szebehely, Victor G. 1 Tapley, Byron D. 1 Van de Craats, Jan 1 van den Broek, W. J. 1 van der Aa, Els 1 van der Laan, L. 1 van Gulik-Gulikers, Iris 1 van Maanen, Jan A. 1 van Oord, Rob 1 Verweij, Agnes 1 Walcher, Sebastian 1 Zegeling, Paul Andries all top 5 Serials 9 Nieuw Archief voor Wiskunde. Vijfde Serie 6 Mathematical Methods in the Applied Sciences 6 Acta Applicandae Mathematicae 4 International Journal of Non-Linear Mechanics 4 Celestial Mechanics 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Epsilon Uitgaven 3 Nonlinear Dynamics 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Philosophical Transactions of the Royal Society of London. Ser. A 2 SIAM Journal on Applied Mathematics 2 Nieuw Archief voor Wiskunde. Vierde Serie 2 Journal of Nonlinear Science 2 Applied Mathematical Sciences 2 Lecture Notes in Mathematics 1 Astronomy and Astrophysics 1 Journal of Engineering Mathematics 1 Journal of the Institute of Mathematics and its Applications 1 Journal of Mathematical Analysis and Applications 1 Monthly Notices of the Royal Astronomical Society 1 Nonlinearity 1 Physica A 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Physica D 1 Applied Mathematical Modelling 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Journal of Dynamics and Differential Equations 1 Indagationes Mathematicae. New Series 1 Nonlinear Science Today 1 Chaos 1 Regular and Chaotic Dynamics 1 Journal of the Indonesian Mathematical Society 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Texts in Applied Mathematics 1 Acta Mechanica Sinica 1 Discrete and Continuous Dynamical Systems. Series S 1 Universitext 1 Springer-Lehrbuch all top 5 Fields 61 Mechanics of particles and systems (70-XX) 45 Dynamical systems and ergodic theory (37-XX) 40 Ordinary differential equations (34-XX) 14 History and biography (01-XX) 14 Partial differential equations (35-XX) 11 General and overarching topics; collections (00-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of deformable solids (74-XX) 4 Astronomy and astrophysics (85-XX) 3 Fluid mechanics (76-XX) 2 Approximations and expansions (41-XX) 1 Functions of a complex variable (30-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 66 Publications have been cited 1,390 times in 1,115 Documents Cited by ▼ Year ▼ Averaging methods in nonlinear dynamical systems. Zbl 0586.34040Sanders, J. A.; Verhulst, F. 315 1985 Averaging methods in nonlinear dynamical systems. 2nd ed. Zbl 1128.34001Sanders, J. A.; Verhulst, F.; Murdock, James 314 2007 Nonlinear differential equations and dynamical systems. 2nd rev. a. exp. ed. Zbl 0854.34002Verhulst, Ferdinand 163 1996 Nonlinear differential equations and dynamical systems. Zbl 0685.34002Verhulst, Ferdinand 145 1990 Methods and applications of singular perturbations. Boundary layers and multiple timescale dynamics. Zbl 1148.35006Verhulst, Ferdinand 100 2005 Singular perturbation methods for slow-fast dynamics. Zbl 1170.70371Verhulst, Ferdinand 25 2007 Autoparametric resonance in mechanical systems. Zbl 0957.70001Tondl, Aleš; Ruijgrok, Thijs; Verhulst, Ferdinand; Nabergoj, Radoslav 24 2000 Paradoxes of dissipation-induced destabilization or who opened Whitney’s umbrella? Zbl 1241.70014Kirillov, Oleg N.; Verhulst, Ferdinand 21 2010 Symmetry and resonance in Hamiltonian systems. Zbl 1004.70015Tuwankotta, J. M.; Verhulst, F. 21 2000 Discrete symmetric dynamical systems at the main resonances with applications to axi-symmetric galaxies. Zbl 0394.34039Verhulst, F. 19 1979 Near-integrability of periodic FPU-chains. Zbl 1060.37503Rink, Bob; Verhulst, Ferdinand 15 2000 Asymptotic integrability and periodic solutions of a Hamiltonian system in 1:2:2-resonance. Zbl 0554.70017van der Aa, Els; Verhulst, Ferdinand 15 1984 Henri Poincaré. Impatient genius. Zbl 1272.01003Verhulst, Ferdinand 14 2012 Chaos in the 1:2:3 Hamiltonian normal form. Zbl 0706.58036Hoveijn, Igor; Verhulst, Ferdinand 12 1990 Bifurcations of quasi-periodic dynamics: torus breakdown. Zbl 1315.34046Bakri, Taoufik; Verhulst, Ferdinand 11 2014 Periodic solutions and slow manifolds. Zbl 1298.34074Verhulst, Ferdinand 8 2007 Parametric excitation in non-linear dynamics. Zbl 1348.70055Bakri, T.; Nabergoj, R.; Tondl, A.; Verhulst, F. 8 2004 Two-body problem with slowly decreasing mass. Zbl 0235.70005Verhulst, Ferdinand 8 1972 Integrability and chaos in Hamiltonian normal forms. Zbl 0768.58044Verhulst, F.; Hoveijn, I. 7 1992 Integrability and non-integrability of Hamiltonian normal forms. Zbl 1371.37117Verhulst, Ferdinand 7 2015 Hamiltonian systems with widely separated frequencies. Zbl 1029.37038Tuwankotta, J. M.; Verhulst, F. 7 2003 Discrete symmetric dynamical system at the main resonances with applications to axi-symmetric galaxies. Zbl 0418.70011Verhulst, F. 7 1979 The inhomogeneous Fermi-Pasta-Ulam chain, a case study of the \(1:2:3\) resonance. Zbl 1394.70049Bruggeman, Roelof; Verhulst, Ferdinand 6 2017 Asymptotic analysis of Hamiltonian systems. Zbl 0515.70014Verhulst, F. 6 1983 The Galerkin-averaging method for nonlinear, undamped continuous systems. Zbl 0638.35057Stroucken, A. C. J.; Verhulst, F. 6 1987 Parametric and autoparametric resonance. Zbl 1010.34029Verhulst, Ferdinand 6 2002 On the number of isolating integrals in resonant systems with 3 degrees of freedom. Zbl 0468.70026Martinet, L.; Magnenat, P.; Verhulst, F. 6 1981 The dynamics of slow manifolds. Zbl 1132.34042Verhulst, F.; Bakri, T. 5 2007 Suppressing flow-induced vibrations by parametric excitation. Zbl 1039.70014Fatimah, S.; Verhulst, F. 5 2003 Invariant manifolds in dissipative dynamical systems. Zbl 1079.34035Verhulst, Ferdinand 5 2005 Autoparametric resonance of relaxation oscillations. Zbl 1081.34038Verhulst, F.; Abadi 5 2005 The \(1 : 2 : 4\) resonance in a particle chain. Zbl 1460.70019Hanßmann, Heinz; Mazrooei-Sebdani, Reza; Verhulst, Ferdinand 4 2021 Averaging in vibration suppression by parametric stiffness excitation. Zbl 1191.70011Dohnal, Fadi; Verhulst, Ferdinand 4 2008 Near-integrability and recurrence in FPU chains with alternating masses. Zbl 1444.70009Bruggeman, Roelof; Verhulst, Ferdinand 4 2019 Two-body problem with slowly decreasing mass. Zbl 0217.54503Verhulst, F.; Eckhaus, W. 4 1970 A generalized Lane-Emden-Fowler equation. Zbl 0493.35046van den Broek, W. J.; Verhulst, F. 4 1982 Torus bifurcations in a mechanical system. Zbl 1382.70023Bakri, Taoufik; Kuznetsov, Yuri A.; Verhulst, Ferdinand 4 2015 Near-integrability and recurrence in FPU-cells. Zbl 1357.37079Verhulst, Ferdinand 4 2016 Parametric and autoparametric resonance. Zbl 0846.34028Ruijgrok, M.; Verhulst, F. 3 1996 Periodic solutions of continuous self-gravitating systems. Zbl 0451.35065Verhulst, F. 3 1980 Profits and pitfalls of timescales in asymptotics. Zbl 1354.34108Verhulst, Ferdinand 3 2015 The Lyapunov exponents of the Van der Pol oscillator. Zbl 1081.34046Grasman, Johan; Verhulst, Ferdinand; Shih, Shagi-Di 3 2005 Bifurcations of strongly nonlinear self-excited oscillations. Zbl 0792.34037Doelman, Arjen; Verhulst, Ferdinand 3 1994 Averaging normal forms for partial differential equations with applications to perturbed wave equations. Zbl 1211.35005Verhulst, F. 2 2010 Brouwer’s rotating vessel. I: Stabilization. Zbl 1351.70016Verhulst, Ferdinand 2 2012 Multiple solutions of a generalized singular perturbed Bratu problem. Zbl 1258.34043Bakri, Taoufik; Kuznetsov, Yuri A.; Verhulst, Ferdinand; Doedel, Eusebius 2 2012 Asymptotic expansions in the perturbed two-body problem with application to systems with variable mass. Zbl 0303.70016Verhulst, Ferdinand 2 1975 Bifurcations and chaotic phenomena in mechanical systems. Zbl 0788.70015Verhulst, F. 2 1993 On averaging method for partial differential equations. Zbl 0987.35010Verhulst, Ferdinand 2 1999 Asymptotic analysis. From theory to application. Zbl 0398.00006 2 1979 Metaphors for psychoanalysis. Zbl 0798.92034Verhulst, F. 2 1994 Quenching of self-excited vibrations. Zbl 1158.70314Verhulst, Ferdinand 2 2005 Aspects of Poincaré’s program for dynamical systems and mathematical physics. Zbl 1277.01009Verhulst, Ferdinand 1 2012 Dynamical systems and chaos. A revolution from mathematics. (Dynamische systemen en chaos. Een revolutie vanuit de wiskunde.) Zbl 0745.58005 1 1990 Averaging in nonlinear advective transport problems. Zbl 0821.35075Heijnekamp, J. J.; Krol, M. S.; Verhulst, F. 1 1995 Interaction of lower and higher order Hamiltonian resonances. Zbl 1395.37038Verhulst, Ferdinand 1 2018 Recurrence and resonance in the cubic Klein-Gordon equation. Zbl 1432.37087Verhulst, Ferdinand 1 2019 Some nonlinear problems in celestial mechanics. Zbl 0247.70010Verhulst, F. 1 1970 The transition from elliptic to hyperbolic orbits in the two-body problem by slow loss of mass. Zbl 0252.70019van der Laan, L.; Verhulst, F. 1 1972 A note on higher order averaging. Zbl 0667.70029Verhulst, F. 1 1988 Long-time predictions in dynamics. Proceedings of the NATO advanced study institute held in Cortina d’Ampezzo, Italy, August 3-16, 1975. Zbl 0334.70001 1 1976 Matched asymptotic expansions in the two-body problem with quick loss of mass. Zbl 0354.70012Verhulst, F. 1 1976 Note on the Henon-Heiles problem. Zbl 0357.34056Verhulst, F. 1 1977 Approximations of higher order resonances with an application to Contopoulos’ model problem. Zbl 0401.70016Sanders, Jan A.; Verhulst, Ferdinand 1 1979 Autoparametric resonance by coupling of linear and nonlinear systems. Zbl 0794.70014Svoboda, R.; Tondl, A.; Verhulst, F. 1 1994 Forget “pure and applied” mathematics. Zbl 1364.00022Verhulst, Ferdinand 1 2016 The \(1 : 2 : 4\) resonance in a particle chain. Zbl 1460.70019Hanßmann, Heinz; Mazrooei-Sebdani, Reza; Verhulst, Ferdinand 4 2021 Near-integrability and recurrence in FPU chains with alternating masses. Zbl 1444.70009Bruggeman, Roelof; Verhulst, Ferdinand 4 2019 Recurrence and resonance in the cubic Klein-Gordon equation. Zbl 1432.37087Verhulst, Ferdinand 1 2019 Interaction of lower and higher order Hamiltonian resonances. Zbl 1395.37038Verhulst, Ferdinand 1 2018 The inhomogeneous Fermi-Pasta-Ulam chain, a case study of the \(1:2:3\) resonance. Zbl 1394.70049Bruggeman, Roelof; Verhulst, Ferdinand 6 2017 Near-integrability and recurrence in FPU-cells. Zbl 1357.37079Verhulst, Ferdinand 4 2016 Forget “pure and applied” mathematics. Zbl 1364.00022Verhulst, Ferdinand 1 2016 Integrability and non-integrability of Hamiltonian normal forms. Zbl 1371.37117Verhulst, Ferdinand 7 2015 Torus bifurcations in a mechanical system. Zbl 1382.70023Bakri, Taoufik; Kuznetsov, Yuri A.; Verhulst, Ferdinand 4 2015 Profits and pitfalls of timescales in asymptotics. Zbl 1354.34108Verhulst, Ferdinand 3 2015 Bifurcations of quasi-periodic dynamics: torus breakdown. Zbl 1315.34046Bakri, Taoufik; Verhulst, Ferdinand 11 2014 Henri Poincaré. Impatient genius. Zbl 1272.01003Verhulst, Ferdinand 14 2012 Brouwer’s rotating vessel. I: Stabilization. Zbl 1351.70016Verhulst, Ferdinand 2 2012 Multiple solutions of a generalized singular perturbed Bratu problem. Zbl 1258.34043Bakri, Taoufik; Kuznetsov, Yuri A.; Verhulst, Ferdinand; Doedel, Eusebius 2 2012 Aspects of Poincaré’s program for dynamical systems and mathematical physics. Zbl 1277.01009Verhulst, Ferdinand 1 2012 Paradoxes of dissipation-induced destabilization or who opened Whitney’s umbrella? Zbl 1241.70014Kirillov, Oleg N.; Verhulst, Ferdinand 21 2010 Averaging normal forms for partial differential equations with applications to perturbed wave equations. Zbl 1211.35005Verhulst, F. 2 2010 Averaging in vibration suppression by parametric stiffness excitation. Zbl 1191.70011Dohnal, Fadi; Verhulst, Ferdinand 4 2008 Averaging methods in nonlinear dynamical systems. 2nd ed. Zbl 1128.34001Sanders, J. A.; Verhulst, F.; Murdock, James 314 2007 Singular perturbation methods for slow-fast dynamics. Zbl 1170.70371Verhulst, Ferdinand 25 2007 Periodic solutions and slow manifolds. Zbl 1298.34074Verhulst, Ferdinand 8 2007 The dynamics of slow manifolds. Zbl 1132.34042Verhulst, F.; Bakri, T. 5 2007 Methods and applications of singular perturbations. Boundary layers and multiple timescale dynamics. Zbl 1148.35006Verhulst, Ferdinand 100 2005 Invariant manifolds in dissipative dynamical systems. Zbl 1079.34035Verhulst, Ferdinand 5 2005 Autoparametric resonance of relaxation oscillations. Zbl 1081.34038Verhulst, F.; Abadi 5 2005 The Lyapunov exponents of the Van der Pol oscillator. Zbl 1081.34046Grasman, Johan; Verhulst, Ferdinand; Shih, Shagi-Di 3 2005 Quenching of self-excited vibrations. Zbl 1158.70314Verhulst, Ferdinand 2 2005 Parametric excitation in non-linear dynamics. Zbl 1348.70055Bakri, T.; Nabergoj, R.; Tondl, A.; Verhulst, F. 8 2004 Hamiltonian systems with widely separated frequencies. Zbl 1029.37038Tuwankotta, J. M.; Verhulst, F. 7 2003 Suppressing flow-induced vibrations by parametric excitation. Zbl 1039.70014Fatimah, S.; Verhulst, F. 5 2003 Parametric and autoparametric resonance. Zbl 1010.34029Verhulst, Ferdinand 6 2002 Autoparametric resonance in mechanical systems. Zbl 0957.70001Tondl, Aleš; Ruijgrok, Thijs; Verhulst, Ferdinand; Nabergoj, Radoslav 24 2000 Symmetry and resonance in Hamiltonian systems. Zbl 1004.70015Tuwankotta, J. M.; Verhulst, F. 21 2000 Near-integrability of periodic FPU-chains. Zbl 1060.37503Rink, Bob; Verhulst, Ferdinand 15 2000 On averaging method for partial differential equations. Zbl 0987.35010Verhulst, Ferdinand 2 1999 Nonlinear differential equations and dynamical systems. 2nd rev. a. exp. ed. Zbl 0854.34002Verhulst, Ferdinand 163 1996 Parametric and autoparametric resonance. Zbl 0846.34028Ruijgrok, M.; Verhulst, F. 3 1996 Averaging in nonlinear advective transport problems. Zbl 0821.35075Heijnekamp, J. J.; Krol, M. S.; Verhulst, F. 1 1995 Bifurcations of strongly nonlinear self-excited oscillations. Zbl 0792.34037Doelman, Arjen; Verhulst, Ferdinand 3 1994 Metaphors for psychoanalysis. Zbl 0798.92034Verhulst, F. 2 1994 Autoparametric resonance by coupling of linear and nonlinear systems. Zbl 0794.70014Svoboda, R.; Tondl, A.; Verhulst, F. 1 1994 Bifurcations and chaotic phenomena in mechanical systems. Zbl 0788.70015Verhulst, F. 2 1993 Integrability and chaos in Hamiltonian normal forms. Zbl 0768.58044Verhulst, F.; Hoveijn, I. 7 1992 Nonlinear differential equations and dynamical systems. Zbl 0685.34002Verhulst, Ferdinand 145 1990 Chaos in the 1:2:3 Hamiltonian normal form. Zbl 0706.58036Hoveijn, Igor; Verhulst, Ferdinand 12 1990 Dynamical systems and chaos. A revolution from mathematics. (Dynamische systemen en chaos. Een revolutie vanuit de wiskunde.) Zbl 0745.58005 1 1990 A note on higher order averaging. Zbl 0667.70029Verhulst, F. 1 1988 The Galerkin-averaging method for nonlinear, undamped continuous systems. Zbl 0638.35057Stroucken, A. C. J.; Verhulst, F. 6 1987 Averaging methods in nonlinear dynamical systems. Zbl 0586.34040Sanders, J. A.; Verhulst, F. 315 1985 Asymptotic integrability and periodic solutions of a Hamiltonian system in 1:2:2-resonance. Zbl 0554.70017van der Aa, Els; Verhulst, Ferdinand 15 1984 Asymptotic analysis of Hamiltonian systems. Zbl 0515.70014Verhulst, F. 6 1983 A generalized Lane-Emden-Fowler equation. Zbl 0493.35046van den Broek, W. J.; Verhulst, F. 4 1982 On the number of isolating integrals in resonant systems with 3 degrees of freedom. Zbl 0468.70026Martinet, L.; Magnenat, P.; Verhulst, F. 6 1981 Periodic solutions of continuous self-gravitating systems. Zbl 0451.35065Verhulst, F. 3 1980 Discrete symmetric dynamical systems at the main resonances with applications to axi-symmetric galaxies. Zbl 0394.34039Verhulst, F. 19 1979 Discrete symmetric dynamical system at the main resonances with applications to axi-symmetric galaxies. Zbl 0418.70011Verhulst, F. 7 1979 Asymptotic analysis. From theory to application. Zbl 0398.00006 2 1979 Approximations of higher order resonances with an application to Contopoulos’ model problem. Zbl 0401.70016Sanders, Jan A.; Verhulst, Ferdinand 1 1979 Note on the Henon-Heiles problem. Zbl 0357.34056Verhulst, F. 1 1977 Long-time predictions in dynamics. Proceedings of the NATO advanced study institute held in Cortina d’Ampezzo, Italy, August 3-16, 1975. Zbl 0334.70001 1 1976 Matched asymptotic expansions in the two-body problem with quick loss of mass. Zbl 0354.70012Verhulst, F. 1 1976 Asymptotic expansions in the perturbed two-body problem with application to systems with variable mass. Zbl 0303.70016Verhulst, Ferdinand 2 1975 Two-body problem with slowly decreasing mass. Zbl 0235.70005Verhulst, Ferdinand 8 1972 The transition from elliptic to hyperbolic orbits in the two-body problem by slow loss of mass. Zbl 0252.70019van der Laan, L.; Verhulst, F. 1 1972 Two-body problem with slowly decreasing mass. Zbl 0217.54503Verhulst, F.; Eckhaus, W. 4 1970 Some nonlinear problems in celestial mechanics. Zbl 0247.70010Verhulst, F. 1 1970 all cited Publications top 5 cited Publications all top 5 Cited by 1,642 Authors 99 Llibre, Jaume 34 Verhulst, Ferdinand 14 Novaes, Douglas Duarte 13 Chartier, Philippe 12 Palacián, Jesús F. 11 Makhlouf, Amar 11 Méhats, Florian 10 Haller, George 10 Walcher, Sebastian 9 Sanders, Jan A. 9 Valls Anglés, Cláudia 9 Yanguas, Patricia 8 Broer, Henk W. 8 Danca, Marius-Florin 8 Hanßmann, Heinz 8 Murua, Ander 8 Pucacco, Giuseppe 8 Vidal, Claudio 7 Han, Maoan 7 Kühn, Christian 7 Lemou, Mohammed 7 Murdock, James A. 7 Sanz-Serna, Jesús María 7 Teixeira, Marco Antonio 7 van Horssen, Wilhem Teunis 7 Wilson, Dan D. 6 Cândido, Murilo R. 6 Dohnal, Fadi 6 García, Isaac A. 6 Huang, Bo 6 Kirillov, Oleg N. 6 Mazrooei-Sebdani, Reza 6 Nešić, Dragan 6 Rand, Richard H. 5 Chen, Yuming 5 Fečkan, Michal 5 Ferrer, Sebastián 5 Frank, Till Daniel 5 Gaeta, Giuseppe 5 García Guirao, Juan Luis 5 Gazzola, Filippo 5 Giné, Jaume 5 Goussis, Dimitris A. 5 Ha, Seung-Yeal 5 Hoveijn, Igor 5 Kifer, Yuri 5 Li, Jianquan 5 Li, Shimin 5 Marchesiello, Antonella 5 Mareels, Iven M. Y. 5 Oliveira, Regilene D. S. 5 Rink, Bob W. 5 Slemrod, Marshall 5 Sugie, Jitsuro 5 Teel, Andrew Richard 5 Vera, Juan A. 4 Avendaño-Camacho, Misael 4 Bakri, Taoufik 4 Berchio, Elvise 4 Buzzi, Claudio Aguinaldo 4 Castella, François 4 Challamel, Noël 4 Crouseilles, Nicolas 4 Darve, Félix 4 Goeke, Alexandra 4 Hakimi, Elham 4 Jing, Zhujun 4 Lax, Christian 4 Lerbet, Jean 4 Liu, Qihuai 4 Makhlouf, Ammar 4 Messias, Marcelo 4 Mokhtari, Fahimeh 4 Nicot, François 4 Nijmeijer, Henk 4 Rodrigues, Ana 4 Rodrigues, Camila Ap. B. 4 Schneider, Guido 4 Shen, Yongjun 4 Vakakis, Alexander F. 4 Vegter, Gert 4 Wagg, David J. 4 Yang, Jianping 4 Yang, Shaopu 4 Zhang, Xiang 4 Zhao, Yulin 3 Ariel, Gil 3 Artstein, Zvi 3 Awrejcewicz, Jan 3 Barreira, Luis Manuel 3 Barrio, Roberto 3 Bosley, David L. 3 Boulfoul, Amel 3 Bowong, Samuel 3 Bright, Ido 3 Carmona, Victoriano 3 Chen, Guanrong 3 Christov, Ognyan 3 D’Annibale, Francesco 3 de Carvalho, Tiago ...and 1,542 more Authors all top 5 Cited in 248 Serials 71 Nonlinear Dynamics 64 Physica D 47 Journal of Differential Equations 43 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 26 Journal of Mathematical Analysis and Applications 23 Applied Mathematics and Computation 22 Chaos 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Celestial Mechanics and Dynamical Astronomy 20 Communications in Nonlinear Science and Numerical Simulation 16 Journal of Mathematical Physics 16 Physics Letters. A 16 Journal of Nonlinear Science 15 Automatica 14 Journal of Mathematical Biology 14 SIAM Journal on Applied Dynamical Systems 13 Chaos, Solitons and Fractals 13 Discrete and Continuous Dynamical Systems. Series B 12 Mathematical Biosciences 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Acta Applicandae Mathematicae 11 Mathematical Problems in Engineering 10 Celestial Mechanics 10 Journal of Dynamics and Differential Equations 10 Regular and Chaotic Dynamics 10 Discrete and Continuous Dynamical Systems. Series S 9 Nonlinearity 9 Journal of Computational and Applied Mathematics 9 Mathematics and Computers in Simulation 9 Discrete and Continuous Dynamical Systems 9 Qualitative Theory of Dynamical Systems 9 Nonlinear Analysis. Real World Applications 8 Acta Mechanica 8 Astrophysics and Space Science 8 Journal of Engineering Mathematics 8 Proceedings of the American Mathematical Society 8 Mathematical and Computer Modelling 8 Journal of Dynamical and Control Systems 7 Computers & Mathematics with Applications 7 Acta Mathematicae Applicatae Sinica. English Series 7 Applied Mathematical Modelling 6 Communications in Mathematical Physics 6 Journal of Fluid Mechanics 6 Journal of Statistical Physics 6 Systems & Control Letters 6 Applied Mathematics Letters 6 Bulletin des Sciences Mathématiques 6 Journal of Vibration and Control 6 Foundations of Computational Mathematics 6 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Journal of Computational Physics 5 Mathematical Methods in the Applied Sciences 5 Meccanica 5 Studies in Applied Mathematics 5 European Journal of Applied Mathematics 5 Indagationes Mathematicae. New Series 5 Journal of Mathematical Sciences (New York) 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Multiscale Modeling & Simulation 5 Journal of Applied Analysis and Computation 4 International Journal of Control 4 Bulletin of Mathematical Biology 4 SIAM Journal on Control and Optimization 4 Applied Mathematics and Mechanics. (English Edition) 4 MCSS. Mathematics of Control, Signals, and Systems 4 Neural Computation 4 Stochastic Processes and their Applications 4 Journal of Mathematical Chemistry 4 Journal of Nonlinear Mathematical Physics 4 Dynamical Systems 4 International Journal of Differential Equations 3 Applicable Analysis 3 Archive for History of Exact Sciences 3 Physica A 3 Journal of Geometry and Physics 3 Numerische Mathematik 3 Quarterly of Applied Mathematics 3 Transactions of the American Mathematical Society 3 Ergodic Theory and Dynamical Systems 3 Applied Numerical Mathematics 3 Annals of Physics 3 International Journal of Computer Mathematics 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 International Journal of Robust and Nonlinear Control 3 SIAM Journal on Scientific Computing 3 Turkish Journal of Mathematics 3 NoDEA. Nonlinear Differential Equations and Applications 3 Differential Equations and Dynamical Systems 3 Journal of Applied Mathematics 3 Communications on Pure and Applied Analysis 3 Mediterranean Journal of Mathematics 3 Mathematical Biosciences and Engineering 3 São Paulo Journal of Mathematical Sciences 3 Advances in Mathematical Physics 3 Science China. Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Applied Mathematics and Nonlinear Sciences 2 Biological Cybernetics ...and 148 more Serials all top 5 Cited in 47 Fields 566 Ordinary differential equations (34-XX) 345 Dynamical systems and ergodic theory (37-XX) 275 Mechanics of particles and systems (70-XX) 119 Biology and other natural sciences (92-XX) 112 Partial differential equations (35-XX) 89 Numerical analysis (65-XX) 68 Systems theory; control (93-XX) 51 Fluid mechanics (76-XX) 50 Mechanics of deformable solids (74-XX) 44 Probability theory and stochastic processes (60-XX) 36 Statistical mechanics, structure of matter (82-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Quantum theory (81-XX) 16 Astronomy and astrophysics (85-XX) 14 Optics, electromagnetic theory (78-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Geophysics (86-XX) 12 History and biography (01-XX) 12 Operator theory (47-XX) 12 Computer science (68-XX) 12 Classical thermodynamics, heat transfer (80-XX) 9 Differential geometry (53-XX) 9 Relativity and gravitational theory (83-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Information and communication theory, circuits (94-XX) 6 Integral equations (45-XX) 5 Commutative algebra (13-XX) 5 Difference and functional equations (39-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Operations research, mathematical programming (90-XX) 4 Nonassociative rings and algebras (17-XX) 4 Measure and integration (28-XX) 4 Approximations and expansions (41-XX) 4 Algebraic topology (55-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 3 Manifolds and cell complexes (57-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Functional analysis (46-XX) 1 Associative rings and algebras (16-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Statistics (62-XX) Citations by Year