Ferdinand Verhulst - Publications

Affiliations: 
1990-2004 Mathematics and informatics Utrecht University, Utrecht, Netherlands 
Area:
Quantitative analysis of dynamic systems
Website:
http://profs.library.uu.nl/index.php/profrec/getprofdata/2176/1/1/0

32 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Hanßmann H, Mazrooei-Sebdani R, Verhulst F. The 1:2:4 resonance in a particle chain Indagationes Mathematicae. DOI: 10.1016/J.Indag.2020.06.003  0.308
2019 Verhulst F. Recurrence and Resonance in the Cubic Klein-Gordon Equation Acta Applicandae Mathematicae. 162: 145-164. DOI: 10.1007/S10440-019-00238-4  0.307
2018 Verhulst F. Interaction of Lower and Higher Order Hamiltonian Resonances International Journal of Bifurcation and Chaos. 28: 1850097. DOI: 10.1142/S0218127418500979  0.32
2017 Bruggeman R, Verhulst F. The inhomogeneous Fermi-Pasta-Ulam chain, a case study of the 1 : 2 : 3 resonance Acta Applicandae Mathematicae. 152: 111-145. DOI: 10.1007/S10440-017-0115-4  0.357
2016 Verhulst F. Torus Break-down and Bifurcations in Coupled Oscillators☆ Procedia Iutam. 19: 5-10. DOI: 10.1016/J.Piutam.2016.03.003  0.32
2015 Verhulst F. Profits and Pitfalls of Timescales in Asymptotics Siam Review. 57: 255-274. DOI: 10.1137/130933058  0.314
2015 Bakri T, Kuznetsov YA, Verhulst F. Torus Bifurcations in a Mechanical System Journal of Dynamics and Differential Equations. 27: 371-403. DOI: 10.1007/S10884-013-9339-9  0.37
2014 Verhulst F. The hunt for canards in population dynamics: A predator–prey system International Journal of Non-Linear Mechanics. 67: 371-377. DOI: 10.1016/J.Ijnonlinmec.2014.10.017  0.312
2014 Bakri T, Verhulst F. Bifurcations of quasi-periodic dynamics: torus breakdown Zeitschrift FüR Angewandte Mathematik Und Physik. 65: 1053-1076. DOI: 10.1007/S00033-013-0363-8  0.335
2012 Bakri T, Kuznetsov YA, Verhulst F, Doedel E. Multiple solutions of a generalized singular perturbed bratu problem International Journal of Bifurcation and Chaos. 22. DOI: 10.1142/S0218127412500952  0.33
2010 Kirillov ON, Verhulst F. Paradoxes of dissipation-induced destabilization or who opened Whitney's umbrella? Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik. 90: 462-488. DOI: 10.1002/Zamm.200900315  0.307
2009 Veerman F, Verhulst F. Quasiperiodic phenomena in the Van der Pol-Mathieu equation Journal of Sound and Vibration. 326: 314-320. DOI: 10.1016/J.Jsv.2009.04.040  0.323
2009 Bakri T, Meijer HGE, Verhulst F. Emergence and bifurcations of Lyapunov manifolds in nonlinear wave equations Journal of Nonlinear Science. 19: 571-596. DOI: 10.1007/S00332-009-9045-2  0.33
2007 Verhulst F. Periodic solutions and slow manifolds International Journal of Bifurcation and Chaos. 17: 2533-2540. DOI: 10.1142/S0218127407018609  0.313
2007 Verhulst F. Singular perturbation methods for slow–fast dynamics Nonlinear Dynamics. 50: 747-753. DOI: 10.1007/S11071-007-9236-Z  0.318
2005 Verhulst F. Invariant manifolds in dissipative dynamical systems Acta Applicandae Mathematicae. 87: 229-244. DOI: 10.1007/S10440-005-1159-4  0.32
2005 Grasman J, Verhulst F, Shih SD. The Lyapunov exponents of the Van der Pol oscillator Mathematical Methods in the Applied Sciences. 28: 1131-1139. DOI: 10.1002/Mma.606  0.307
2004 Bakri T, Nabergoj R, Tondl A, Verhulst F. Parametric excitation in non-linear dynamics International Journal of Non-Linear Mechanics. 39: 311-329. DOI: 10.1016/S0020-7462(02)00190-7  0.334
2003 Tuwankotta JM, Verhulst F. Hamiltonian systems with widely separated frequencies Nonlinearity. 16: 689-706. DOI: 10.1088/0951-7715/16/2/319  0.345
1997 Huveneers RJAG, Verhulst F. A metaphor for adiabatic evolution to symmetry Siam Journal On Applied Mathematics. 57: 1421-1442. DOI: 10.1137/S0036139995289568  0.315
1996 Verhulst F. Parametric and autoparametric resonance Acta Applicandae Mathematicae. 70: 279-298. DOI: 10.1023/A:1013934501001  0.368
1994 Svoboda R, Tondl A, Verhulst F. Autoparametric resonance by coupling of linear and non-linear systems International Journal of Non-Linear Mechanics. 29: 225-232. DOI: 10.1016/0020-7462(94)90041-8  0.318
1994 Doelman A, Verhulst F. Bifurcations of strongly non‐linear self‐excited oscillations Mathematical Methods in the Applied Sciences. 17: 189-207. DOI: 10.1002/Mma.1670170304  0.331
1993 Ruijgrok M, Tondl A, Verhulst F. Resonance in a rigid rotor with elastic support Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik. 73: 255-263. DOI: 10.1002/Zamm.19930731006  0.334
1990 Hoveijn I, Verhulst F. Chaos in the 1:2:3 Hamiltonian normal form Physica D: Nonlinear Phenomena. 44: 397-406. DOI: 10.1016/0167-2789(90)90154-H  0.322
1988 Verhulst F. A note on higher order averaging International Journal of Non-Linear Mechanics. 23: 341-346. DOI: 10.1016/0020-7462(88)90030-3  0.3
1987 Stroucken ACJ, Verhulst F, Eckhaus W. The Galerkin-averaging method for nonlinear, undamped continuous systems Mathematical Methods in the Applied Sciences. 9: 520-549. DOI: 10.1002/Mma.1670090134  0.322
1984 Aa Evd, Verhulst F. Asymptotic Integrability and Periodic Solutions of a Hamiltonian System in $1:2:2$-Resonance Siam Journal On Mathematical Analysis. 15: 890-911. DOI: 10.1137/0515067  0.335
1979 Verhulst F. Discrete Symmetric Dynamical Systems at the Main Resonances with Applications to Axi-Symmetric Galaxies Philosophical Transactions of the Royal Society A. 290: 435-465. DOI: 10.1098/Rsta.1979.0006  0.355
1975 Verhulst F. Asymptotic expansions in the perturbed two-body problem with application to systems with variable mass Celestial Mechanics and Dynamical Astronomy. 11: 95-129. DOI: 10.1007/Bf01228739  0.321
1972 Verhulst F. Two-body problem with slowly decreasing mass Celestial Mechanics and Dynamical Astronomy. 5: 27-36. DOI: 10.1007/Bf01227820  0.331
1970 Verhulst F, Eckhaus W. Two-body problem with slowly decreasing mass International Journal of Non-Linear Mechanics. 5: 617-624. DOI: 10.1016/0020-7462(70)90051-X  0.308
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