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Verhulst, Ferdinand

Author ID: verhulst.ferdinand Recent zbMATH articles by "Verhulst, Ferdinand"
Published as: Verhulst, Ferdinand; Verhulst, F.
Homepage: https://webspace.science.uu.nl/~verhu101/
External Links: MGP · Google Scholar · ResearchGate · dblp
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 Nonlinear Dynamics
4 Epsilon Uitgaven
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 Chaos
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 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 Surveys and Tutorials in the Applied Mathematical Sciences
1 Acta Mechanica Sinica
1 Discrete and Continuous Dynamical Systems. Series S
1 Universitext
1 Springer-Lehrbuch

Publications by Year

Citations contained in zbMATH Open

72 Publications have been cited 1,701 times in 1,350 Documents Cited by Year
Averaging methods in nonlinear dynamical systems. 2nd ed. Zbl 1128.34001
Sanders, J. A.; Verhulst, F.; Murdock, James
388
2007
Averaging methods in nonlinear dynamical systems. Zbl 0586.34040
Sanders, J. A.; Verhulst, F.
360
1985
Nonlinear differential equations and dynamical systems. 2nd rev. a. exp. ed. Zbl 0854.34002
Verhulst, Ferdinand
211
1996
Nonlinear differential equations and dynamical systems. Zbl 0685.34002
Verhulst, Ferdinand
169
1990
Methods and applications of singular perturbations. Boundary layers and multiple timescale dynamics. Zbl 1148.35006
Verhulst, Ferdinand
140
2005
Paradoxes of dissipation-induced destabilization or who opened Whitney’s umbrella? Zbl 1241.70014
Kirillov, Oleg N.; Verhulst, Ferdinand
32
2010
Singular perturbation methods for slow-fast dynamics. Zbl 1170.70371
Verhulst, Ferdinand
29
2007
Autoparametric resonance in mechanical systems. Zbl 0957.70001
Tondl, Aleš; Ruijgrok, Thijs; Verhulst, Ferdinand; Nabergoj, Radoslav
28
2000
Discrete symmetric dynamical systems at the main resonances with applications to axi-symmetric galaxies. Zbl 0394.34039
Verhulst, F.
25
1979
Symmetry and resonance in Hamiltonian systems. Zbl 1004.70015
Tuwankotta, J. M.; Verhulst, F.
23
2000
Henri Poincaré. Impatient genius. Zbl 1272.01003
Verhulst, Ferdinand
19
2012
Asymptotic integrability and periodic solutions of a Hamiltonian system in 1:2:2-resonance. Zbl 0554.70017
van der Aa, Els; Verhulst, Ferdinand
18
1984
Near-integrability of periodic FPU-chains. Zbl 1060.37503
Rink, Bob; Verhulst, Ferdinand
16
2000
Chaos in the 1:2:3 Hamiltonian normal form. Zbl 0706.58036
Hoveijn, Igor; Verhulst, Ferdinand
14
1990
Bifurcations of quasi-periodic dynamics: torus breakdown. Zbl 1315.34046
Bakri, Taoufik; Verhulst, Ferdinand
13
2014
Discrete symmetric dynamical system at the main resonances with applications to axi-symmetric galaxies. Zbl 0418.70011
Verhulst, F.
11
1979
Asymptotic analysis of Hamiltonian systems. Zbl 0515.70014
Verhulst, F.
9
1983
Integrability and non-integrability of Hamiltonian normal forms. Zbl 1371.37117
Verhulst, Ferdinand
9
2015
Periodic solutions and slow manifolds. Zbl 1298.34074
Verhulst, Ferdinand
8
2007
Parametric excitation in non-linear dynamics. Zbl 1348.70055
Bakri, T.; Nabergoj, R.; Tondl, A.; Verhulst, F.
8
2004
Hamiltonian systems with widely separated frequencies. Zbl 1029.37038
Tuwankotta, J. M.; Verhulst, F.
8
2003
Two-body problem with slowly decreasing mass. Zbl 0235.70005
Verhulst, Ferdinand
8
1972
Parametric and autoparametric resonance. Zbl 1010.34029
Verhulst, Ferdinand
8
2002
Integrability and chaos in Hamiltonian normal forms. Zbl 0768.58044
Verhulst, F.; Hoveijn, I.
7
1992
The inhomogeneous Fermi-Pasta-Ulam chain, a case study of the \(1:2:3\) resonance. Zbl 1394.70049
Bruggeman, Roelof; Verhulst, Ferdinand
7
2017
On the number of isolating integrals in resonant systems with 3 degrees of freedom. Zbl 0468.70026
Martinet, L.; Magnenat, P.; Verhulst, F.
6
1981
Autoparametric resonance of relaxation oscillations. Zbl 1081.34038
Verhulst, F.; Abadi
6
2005
The Galerkin-averaging method for nonlinear, undamped continuous systems. Zbl 0638.35057
Stroucken, A. C. J.; Verhulst, F.
6
1987
Asymptotic analysis. From theory to application. Zbl 0398.00006
6
1979
The \(1 : 2 : 4\) resonance in a particle chain. Zbl 1460.70019
Hanßmann, Heinz; Mazrooei-Sebdani, Reza; Verhulst, Ferdinand
6
2021
A generalized Lane-Emden-Fowler equation. Zbl 0493.35046
van den Broek, W. J.; Verhulst, F.
5
1982
Invariant manifolds in dissipative dynamical systems. Zbl 1079.34035
Verhulst, Ferdinand
5
2005
Suppressing flow-induced vibrations by parametric excitation. Zbl 1039.70014
Fatimah, S.; Verhulst, F.
5
2003
Torus bifurcations in a mechanical system. Zbl 1382.70023
Bakri, Taoufik; Kuznetsov, Yuri A.; Verhulst, Ferdinand
5
2015
The dynamics of slow manifolds. Zbl 1132.34042
Verhulst, F.; Bakri, T.
5
2007
Near-integrability and recurrence in FPU-cells. Zbl 1357.37079
Verhulst, Ferdinand
5
2016
Averaging in vibration suppression by parametric stiffness excitation. Zbl 1191.70011
Dohnal, Fadi; Verhulst, Ferdinand
5
2008
On averaging method for partial differential equations. Zbl 0987.35010
Verhulst, Ferdinand
4
1999
Two-body problem with slowly decreasing mass. Zbl 0217.54503
Verhulst, F.; Eckhaus, W.
4
1970
Multiple solutions of a generalized singular perturbed Bratu problem. Zbl 1258.34043
Bakri, Taoufik; Kuznetsov, Yuri A.; Verhulst, Ferdinand; Doedel, Eusebius
4
2012
Profits and pitfalls of timescales in asymptotics. Zbl 1354.34108
Verhulst, Ferdinand
4
2015
Near-integrability and recurrence in FPU chains with alternating masses. Zbl 1444.70009
Bruggeman, Roelof; Verhulst, Ferdinand
4
2019
Parametric and autoparametric resonance. Zbl 0846.34028
Ruijgrok, M.; Verhulst, F.
3
1996
The Lyapunov exponents of the Van der Pol oscillator. Zbl 1081.34046
Grasman, Johan; Verhulst, Ferdinand; Shih, Shagi-Di
3
2005
Bifurcations of strongly nonlinear self-excited oscillations. Zbl 0792.34037
Doelman, Arjen; Verhulst, Ferdinand
3
1994
Periodic solutions of continuous self-gravitating systems. Zbl 0451.35065
Verhulst, F.
3
1980
Asymptotic expansions in the perturbed two-body problem with application to systems with variable mass. Zbl 0303.70016
Verhulst, Ferdinand
3
1975
Approximations of higher order resonances with an application to Contopoulos’ model problem. Zbl 0401.70016
Sanders, Jan A.; Verhulst, Ferdinand
2
1979
Autoparametric resonance by coupling of linear and nonlinear systems. Zbl 0794.70014
Svoboda, R.; Tondl, A.; Verhulst, F.
2
1994
Resonance in a rigid rotor with elastic support. Zbl 0797.70004
Ruijgrok, M.; Tondl, A.; Verhulst, F.
2
1993
Metaphors for psychoanalysis. Zbl 0798.92034
Verhulst, F.
2
1994
Quenching of self-excited vibrations. Zbl 1158.70314
Verhulst, Ferdinand
2
2005
Bifurcations and chaotic phenomena in mechanical systems. Zbl 0788.70015
Verhulst, F.
2
1993
Aspects of Poincaré’s program for dynamical systems and mathematical physics. Zbl 1277.01009
Verhulst, Ferdinand
2
2012
Averaging normal forms for partial differential equations with applications to perturbed wave equations. Zbl 1211.35005
Verhulst, F.
2
2010
Brouwer’s rotating vessel. I: Stabilization. Zbl 1351.70016
Verhulst, Ferdinand
2
2012
Dynamical systems and chaos. A revolution from mathematics. (Dynamische systemen en chaos. Een revolutie vanuit de wiskunde.) Zbl 0745.58005
1
1990
Note on the Henon-Heiles problem. Zbl 0357.34056
Verhulst, F.
1
1977
Introduction to the paper “Integral manifolds and adiabatic invariants of systems in slow evolution” by A. S. Bakaj. Zbl 0513.70021
Verhulst, F.
1
1983
A note on higher order averaging. Zbl 0667.70029
Verhulst, F.
1
1988
Matched asymptotic expansions in the two-body problem with quick loss of mass. Zbl 0354.70012
Verhulst, F.
1
1976
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
Some nonlinear problems in celestial mechanics. Zbl 0247.70010
Verhulst, F.
1
1970
The transition from elliptic to hyperbolic orbits in the two-body problem by slow loss of mass. Zbl 0252.70019
van der Laan, L.; Verhulst, F.
1
1972
Averaging in nonlinear advective transport problems. Zbl 0821.35075
Heijnekamp, J. J.; Krol, M. S.; Verhulst, F.
1
1995
Mathematics is the art of giving the same name to different things. Zbl 1254.01045
Verhulst, Ferdinand
1
2012
Interaction of lower and higher order Hamiltonian resonances. Zbl 1395.37038
Verhulst, Ferdinand
1
2018
Recurrence and resonance in the cubic Klein-Gordon equation. Zbl 1432.37087
Verhulst, Ferdinand
1
2019
From rotating fluid masses and Ziegler’s paradox to Pontryagin- and Krein spaces and bifurcation theory. Zbl 1496.70012
Kirillov, Oleg N.; Verhulst, Ferdinand
1
2022
Forget “pure and applied” mathematics. Zbl 1364.00022
Verhulst, Ferdinand
1
2016
Resonant periodic solutions in regularized impact oscillator. Zbl 1485.34121
Makarenkov, Oleg; Verhulst, Ferdinand
1
2021
Recurrent canards producing relaxation oscillations. Zbl 1458.34079
Abdulwahed, C.; Verhulst, F.
1
2021
From rotating fluid masses and Ziegler’s paradox to Pontryagin- and Krein spaces and bifurcation theory. Zbl 1496.70012
Kirillov, Oleg N.; Verhulst, Ferdinand
1
2022
The \(1 : 2 : 4\) resonance in a particle chain. Zbl 1460.70019
Hanßmann, Heinz; Mazrooei-Sebdani, Reza; Verhulst, Ferdinand
6
2021
Resonant periodic solutions in regularized impact oscillator. Zbl 1485.34121
Makarenkov, Oleg; Verhulst, Ferdinand
1
2021
Recurrent canards producing relaxation oscillations. Zbl 1458.34079
Abdulwahed, C.; Verhulst, F.
1
2021
Near-integrability and recurrence in FPU chains with alternating masses. Zbl 1444.70009
Bruggeman, Roelof; Verhulst, Ferdinand
4
2019
Recurrence and resonance in the cubic Klein-Gordon equation. Zbl 1432.37087
Verhulst, Ferdinand
1
2019
Interaction of lower and higher order Hamiltonian resonances. Zbl 1395.37038
Verhulst, Ferdinand
1
2018
The inhomogeneous Fermi-Pasta-Ulam chain, a case study of the \(1:2:3\) resonance. Zbl 1394.70049
Bruggeman, Roelof; Verhulst, Ferdinand
7
2017
Near-integrability and recurrence in FPU-cells. Zbl 1357.37079
Verhulst, Ferdinand
5
2016
Forget “pure and applied” mathematics. Zbl 1364.00022
Verhulst, Ferdinand
1
2016
Integrability and non-integrability of Hamiltonian normal forms. Zbl 1371.37117
Verhulst, Ferdinand
9
2015
Torus bifurcations in a mechanical system. Zbl 1382.70023
Bakri, Taoufik; Kuznetsov, Yuri A.; Verhulst, Ferdinand
5
2015
Profits and pitfalls of timescales in asymptotics. Zbl 1354.34108
Verhulst, Ferdinand
4
2015
Bifurcations of quasi-periodic dynamics: torus breakdown. Zbl 1315.34046
Bakri, Taoufik; Verhulst, Ferdinand
13
2014
Henri Poincaré. Impatient genius. Zbl 1272.01003
Verhulst, Ferdinand
19
2012
Multiple solutions of a generalized singular perturbed Bratu problem. Zbl 1258.34043
Bakri, Taoufik; Kuznetsov, Yuri A.; Verhulst, Ferdinand; Doedel, Eusebius
4
2012
Aspects of Poincaré’s program for dynamical systems and mathematical physics. Zbl 1277.01009
Verhulst, Ferdinand
2
2012
Brouwer’s rotating vessel. I: Stabilization. Zbl 1351.70016
Verhulst, Ferdinand
2
2012
Mathematics is the art of giving the same name to different things. Zbl 1254.01045
Verhulst, Ferdinand
1
2012
Paradoxes of dissipation-induced destabilization or who opened Whitney’s umbrella? Zbl 1241.70014
Kirillov, Oleg N.; Verhulst, Ferdinand
32
2010
Averaging normal forms for partial differential equations with applications to perturbed wave equations. Zbl 1211.35005
Verhulst, F.
2
2010
Averaging in vibration suppression by parametric stiffness excitation. Zbl 1191.70011
Dohnal, Fadi; Verhulst, Ferdinand
5
2008
Averaging methods in nonlinear dynamical systems. 2nd ed. Zbl 1128.34001
Sanders, J. A.; Verhulst, F.; Murdock, James
388
2007
Singular perturbation methods for slow-fast dynamics. Zbl 1170.70371
Verhulst, Ferdinand
29
2007
Periodic solutions and slow manifolds. Zbl 1298.34074
Verhulst, Ferdinand
8
2007
The dynamics of slow manifolds. Zbl 1132.34042
Verhulst, F.; Bakri, T.
5
2007
Methods and applications of singular perturbations. Boundary layers and multiple timescale dynamics. Zbl 1148.35006
Verhulst, Ferdinand
140
2005
Autoparametric resonance of relaxation oscillations. Zbl 1081.34038
Verhulst, F.; Abadi
6
2005
Invariant manifolds in dissipative dynamical systems. Zbl 1079.34035
Verhulst, Ferdinand
5
2005
The Lyapunov exponents of the Van der Pol oscillator. Zbl 1081.34046
Grasman, Johan; Verhulst, Ferdinand; Shih, Shagi-Di
3
2005
Quenching of self-excited vibrations. Zbl 1158.70314
Verhulst, Ferdinand
2
2005
Parametric excitation in non-linear dynamics. Zbl 1348.70055
Bakri, T.; Nabergoj, R.; Tondl, A.; Verhulst, F.
8
2004
Hamiltonian systems with widely separated frequencies. Zbl 1029.37038
Tuwankotta, J. M.; Verhulst, F.
8
2003
Suppressing flow-induced vibrations by parametric excitation. Zbl 1039.70014
Fatimah, S.; Verhulst, F.
5
2003
Parametric and autoparametric resonance. Zbl 1010.34029
Verhulst, Ferdinand
8
2002
Autoparametric resonance in mechanical systems. Zbl 0957.70001
Tondl, Aleš; Ruijgrok, Thijs; Verhulst, Ferdinand; Nabergoj, Radoslav
28
2000
Symmetry and resonance in Hamiltonian systems. Zbl 1004.70015
Tuwankotta, J. M.; Verhulst, F.
23
2000
Near-integrability of periodic FPU-chains. Zbl 1060.37503
Rink, Bob; Verhulst, Ferdinand
16
2000
On averaging method for partial differential equations. Zbl 0987.35010
Verhulst, Ferdinand
4
1999
Nonlinear differential equations and dynamical systems. 2nd rev. a. exp. ed. Zbl 0854.34002
Verhulst, Ferdinand
211
1996
Parametric and autoparametric resonance. Zbl 0846.34028
Ruijgrok, M.; Verhulst, F.
3
1996
Averaging in nonlinear advective transport problems. Zbl 0821.35075
Heijnekamp, J. J.; Krol, M. S.; Verhulst, F.
1
1995
Bifurcations of strongly nonlinear self-excited oscillations. Zbl 0792.34037
Doelman, Arjen; Verhulst, Ferdinand
3
1994
Autoparametric resonance by coupling of linear and nonlinear systems. Zbl 0794.70014
Svoboda, R.; Tondl, A.; Verhulst, F.
2
1994
Metaphors for psychoanalysis. Zbl 0798.92034
Verhulst, F.
2
1994
Resonance in a rigid rotor with elastic support. Zbl 0797.70004
Ruijgrok, M.; Tondl, A.; Verhulst, F.
2
1993
Bifurcations and chaotic phenomena in mechanical systems. Zbl 0788.70015
Verhulst, F.
2
1993
Integrability and chaos in Hamiltonian normal forms. Zbl 0768.58044
Verhulst, F.; Hoveijn, I.
7
1992
Nonlinear differential equations and dynamical systems. Zbl 0685.34002
Verhulst, Ferdinand
169
1990
Chaos in the 1:2:3 Hamiltonian normal form. Zbl 0706.58036
Hoveijn, Igor; Verhulst, Ferdinand
14
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 0667.70029
Verhulst, F.
1
1988
The Galerkin-averaging method for nonlinear, undamped continuous systems. Zbl 0638.35057
Stroucken, A. C. J.; Verhulst, F.
6
1987
Averaging methods in nonlinear dynamical systems. Zbl 0586.34040
Sanders, J. A.; Verhulst, F.
360
1985
Asymptotic integrability and periodic solutions of a Hamiltonian system in 1:2:2-resonance. Zbl 0554.70017
van der Aa, Els; Verhulst, Ferdinand
18
1984
Asymptotic analysis of Hamiltonian systems. Zbl 0515.70014
Verhulst, F.
9
1983
Introduction to the paper “Integral manifolds and adiabatic invariants of systems in slow evolution” by A. S. Bakaj. Zbl 0513.70021
Verhulst, F.
1
1983
A generalized Lane-Emden-Fowler equation. Zbl 0493.35046
van den Broek, W. J.; Verhulst, F.
5
1982
On the number of isolating integrals in resonant systems with 3 degrees of freedom. Zbl 0468.70026
Martinet, L.; Magnenat, P.; Verhulst, F.
6
1981
Periodic solutions of continuous self-gravitating systems. Zbl 0451.35065
Verhulst, F.
3
1980
Discrete symmetric dynamical systems at the main resonances with applications to axi-symmetric galaxies. Zbl 0394.34039
Verhulst, F.
25
1979
Discrete symmetric dynamical system at the main resonances with applications to axi-symmetric galaxies. Zbl 0418.70011
Verhulst, F.
11
1979
Asymptotic analysis. From theory to application. Zbl 0398.00006
6
1979
Approximations of higher order resonances with an application to Contopoulos’ model problem. Zbl 0401.70016
Sanders, Jan A.; Verhulst, Ferdinand
2
1979
Note on the Henon-Heiles problem. Zbl 0357.34056
Verhulst, F.
1
1977
Matched asymptotic expansions in the two-body problem with quick loss of mass. Zbl 0354.70012
Verhulst, F.
1
1976
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
Asymptotic expansions in the perturbed two-body problem with application to systems with variable mass. Zbl 0303.70016
Verhulst, Ferdinand
3
1975
Two-body problem with slowly decreasing mass. Zbl 0235.70005
Verhulst, Ferdinand
8
1972
The transition from elliptic to hyperbolic orbits in the two-body problem by slow loss of mass. Zbl 0252.70019
van der Laan, L.; Verhulst, F.
1
1972
Two-body problem with slowly decreasing mass. Zbl 0217.54503
Verhulst, F.; Eckhaus, W.
4
1970
Some nonlinear problems in celestial mechanics. Zbl 0247.70010
Verhulst, F.
1
1970
all top 5

Cited by 1,977 Authors

119 Llibre, Jaume
36 Verhulst, Ferdinand
19 Makhlouf, Amar
17 Novaes, Douglas Duarte
14 Chartier, Philippe
12 Palacián, Jesús F.
11 Kirillov, Oleg N.
11 Méhats, Florian
10 Haller, George
10 Huang, Bo
10 Pucacco, Giuseppe
10 Walcher, Sebastian
9 Broer, Henk W.
9 Han, Maoan
9 Murua, Ander
9 Sanders, Jan A.
9 Teixeira, Marco Antonio
9 Valls Anglés, Cláudia
9 Vidal, Claudio
9 Yanguas, Patricia
8 Cândido, Murilo R.
8 Danca, Marius-Florin
8 Hanßmann, Heinz
8 Kühn, Christian
8 Sanz-Serna, Jesús María
8 Wilson, Dan D.
7 Lemou, Mohammed
7 Mazrooei-Sebdani, Reza
7 Murdock, James A.
7 van Horssen, Wilhem Teunis
6 Challamel, Noël
6 Darve, Félix
6 Dohnal, Fadi
6 Fečkan, Michal
6 García Guirao, Juan Luis
6 García, Isaac A.
6 Gazzola, Filippo
6 Giné, Jaume
6 Goussis, Dimitris A.
6 Hoveijn, Igor
6 Lerbet, Jean
6 Messias, Marcelo
6 Nešić, Dragan
6 Nicot, François
6 Oliveira, Regilene D. S.
6 Rand, Richard H.
6 Vera, Juan A.
5 Artstein, Zvi
5 Bakri, Taoufik
5 Boulfoul, Amel
5 Castella, François
5 Chen, Yuming
5 Christov, Ognyan
5 Ferrer, Sebastián
5 Frank, Till Daniel
5 Ha, Seung-Yeal
5 Hakimi, Elham
5 Jung, Changyeol
5 Kifer, Yuri
5 Lara, Luis Pedro
5 Li, Jianquan
5 Li, Shimin
5 Liu, Qihuai
5 Marchesiello, Antonella
5 Mareels, Iven M. Y.
5 Mereu, Ana Cristina
5 Rink, Bob W.
5 Schneider, Guido
5 Slemrod, Marshall
5 Sugie, Jitsuro
5 Teel, Andrew Richard
5 Temam, Roger Meyer
5 Vakakis, Alexander F.
5 Vegter, Gert
5 Zhang, Xiang
4 Ariel, Gil
4 Avendaño-Camacho, Misael
4 Barrio, Roberto
4 Berchio, Elvise
4 Buzzi, Claudio Aguinaldo
4 Crouseilles, Nicolas
4 de Carvalho, Tiago
4 Engquist, Bjorn E.
4 Gaeta, Giuseppe
4 Gendelman, Oleg V.
4 Goeke, Alexandra
4 Jing, Zhujun
4 Kadalbajoo, Mohan K.
4 Kovaleva, Agnessa
4 Lax, Christian
4 Li, Wenlei
4 Makhlouf, Ammar
4 Matthies, Karsten
4 Mellahi, Nawal
4 Mokhtari, Fahimeh
4 Nijmeijer, Henk
4 Niu, Wei
4 Reinol, Alisson C.
4 Rodrigues, Ana
4 Rodrigues, Camila Ap. B.
...and 1,877 more Authors
all top 5

Cited in 292 Serials

76 Nonlinear Dynamics
70 Physica D
52 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
49 Journal of Differential Equations
32 Journal of Mathematical Analysis and Applications
31 Chaos
30 Communications in Nonlinear Science and Numerical Simulation
29 Applied Mathematics and Computation
24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
22 Celestial Mechanics and Dynamical Astronomy
21 Journal of Mathematical Biology
21 Physics Letters. A
20 Journal of Mathematical Physics
17 Discrete and Continuous Dynamical Systems. Series B
17 SIAM Journal on Applied Dynamical Systems
16 Automatica
16 Journal of Nonlinear Science
15 Chaos, Solitons and Fractals
14 Applied Mathematical Modelling
13 Mathematical Methods in the Applied Sciences
13 ZAMP. Zeitschrift für angewandte Mathematik und Physik
12 Mathematical Biosciences
12 Nonlinearity
12 Acta Applicandae Mathematicae
12 Journal of Dynamics and Differential Equations
12 Mathematical Problems in Engineering
11 Regular and Chaotic Dynamics
11 Journal of Dynamical and Control Systems
11 Qualitative Theory of Dynamical Systems
11 Nonlinear Analysis. Real World Applications
10 Mathematics and Computers in Simulation
10 Proceedings of the American Mathematical Society
10 Celestial Mechanics
10 Discrete and Continuous Dynamical Systems
10 Discrete and Continuous Dynamical Systems. Series S
9 Computers & Mathematics with Applications
9 Journal of Engineering Mathematics
9 Journal of Computational and Applied Mathematics
9 Studies in Applied Mathematics
8 Acta Mechanica
8 Astrophysics and Space Science
8 Applied Mathematics Letters
8 Mathematical and Computer Modelling
7 Systems & Control Letters
7 Acta Mathematicae Applicatae Sinica. English Series
7 Journal of Applied Analysis and Computation
6 Communications in Mathematical Physics
6 Journal of Computational Physics
6 Journal of Fluid Mechanics
6 Journal of Statistical Physics
6 Physica A
6 Meccanica
6 European Journal of Applied Mathematics
6 Bulletin des Sciences Mathématiques
6 Journal of Vibration and Control
6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
6 Foundations of Computational Mathematics
6 Multiscale Modeling & Simulation
6 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
5 Applicable Analysis
5 SIAM Journal on Control and Optimization
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Indagationes Mathematicae. New Series
5 International Journal of Robust and Nonlinear Control
5 Journal of Mathematical Sciences (New York)
5 Dynamical Systems
5 Mediterranean Journal of Mathematics
4 Classical and Quantum Gravity
4 International Journal of Control
4 Bulletin of Mathematical Biology
4 Journal of Geometry and Physics
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 SIAM Journal on Scientific Computing
4 Journal of Mathematical Chemistry
4 Differential Equations and Dynamical Systems
4 Journal of Nonlinear Mathematical Physics
4 International Journal of Differential Equations
4 Journal of Theoretical Biology
3 Archive for History of Exact Sciences
3 Computer Methods in Applied Mechanics and Engineering
3 Computer Physics Communications
3 International Journal of Engineering Science
3 Numerische Mathematik
3 Quarterly of Applied Mathematics
3 SIAM Journal on Numerical Analysis
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 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3 Turkish Journal of Mathematics
3 NoDEA. Nonlinear Differential Equations and Applications
3 Journal of Applied Mathematics
3 Communications on Pure and Applied Analysis
...and 192 more Serials
all top 5

Cited in 48 Fields

689 Ordinary differential equations (34-XX)
416 Dynamical systems and ergodic theory (37-XX)
316 Mechanics of particles and systems (70-XX)
151 Biology and other natural sciences (92-XX)
143 Partial differential equations (35-XX)
107 Numerical analysis (65-XX)
79 Systems theory; control (93-XX)
63 Mechanics of deformable solids (74-XX)
62 Fluid mechanics (76-XX)
49 Probability theory and stochastic processes (60-XX)
40 Statistical mechanics, structure of matter (82-XX)
27 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
23 Quantum theory (81-XX)
22 Computer science (68-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
18 Operator theory (47-XX)
18 Astronomy and astrophysics (85-XX)
17 Optics, electromagnetic theory (78-XX)
15 History and biography (01-XX)
14 Geophysics (86-XX)
13 Classical thermodynamics, heat transfer (80-XX)
13 Relativity and gravitational theory (83-XX)
11 Global analysis, analysis on manifolds (58-XX)
11 Information and communication theory, circuits (94-XX)
9 Differential geometry (53-XX)
7 Difference and functional equations (39-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 Commutative algebra (13-XX)
6 Integral equations (45-XX)
6 Operations research, mathematical programming (90-XX)
5 Approximations and expansions (41-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Nonassociative rings and algebras (17-XX)
4 Real functions (26-XX)
4 Measure and integration (28-XX)
4 Algebraic topology (55-XX)
4 Manifolds and cell complexes (57-XX)
3 General and overarching topics; collections (00-XX)
3 Combinatorics (05-XX)
3 Statistics (62-XX)
2 Topological groups, Lie groups (22-XX)
2 Potential theory (31-XX)
2 Special functions (33-XX)
2 Functional analysis (46-XX)
1 Associative rings and algebras (16-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Mathematics education (97-XX)

Citations by Year