A selection of papers before 1993

• 1970, Verhulst, F. and Eckhaus, W. - Two-body problem with slowly decreasing mass, Int. J. Nonlinear Mech. 5, pp. 617-624.
• 1975, Verhulst, F. - Asymptotic expansions in the perturbed two-body problem with application to systems with variable mass, Celes. Mech. 11, pp. 95-129.
• 1976, Verhulst, F. - Matched asymptotic expansions in the two-body problem with quick loss of mass, J. Inst. Math. Applics. 18, pp. 87-98.
• 1976, Hut, P. and Verhulst, F. - The two-body problem with a decreasing gravitational constant, Mon. Not. Roy. Astr. Soc. 177, pp. 545-549.
• 1979, Verhulst, F. - Discrete-symmetric dynamical systems at the main resonances with applications to axi-symmetric galaxies, Phil. Trans. roy. Soc. London A 290, pp. 435-465.
• 1979, Sanders, J.A. and Verhulst, F. - Higher-order resonances in dynamical systems, in ``Asymptotic Analysis, from theory to application'', Lecture Notes in Math. 711, Springer-Verlag.
• 1981, Martinet, L., Magnenat,P. and Verhulst, F. - On the number of isolating integrals in resonant systems with three degrees of freedom, Celes. Mech. 29, pp. 93-99.
• 1984, Van der Aa, E. and Verhulst, F. - Asymptotic integrability and periodic solutions of a Hamiltonian system in 1:2:2-resonance, SIAM J. Appl. Math. Analysis 15, pp. 890-911.
• 1987, Stroucken, A.C.J. and Verhulst, F. - The Galerkin-averaging method for nonlinear, undamped continuous systems, Math. Meth. Appl. Sciences 9, pp. 520-549.
• 1988, Verhulst, F. - A note on higher-order averaging, Int. J. Nonlinear Mech. 23, pp. 341-346.
• 1990, Hoveijn, I. and Verhulst, F. - Chaos in the 1:2:3- Hamiltonian normal form, Physica D, 44, pp. 397-406.
• 1991, Verhulst, F. and Hoveijn, I. - Integrability and chaos in Hamiltonian normal forms, in ``Geometry and Analysis'' (H.W. Broer and F. Takens, eds.), Pitman Res. Notes in Math.

Papers 1993--2012

• 1993, Verhulst, F. - Bifurcations and chaotic phenomena in mechanical systems, Proc. 1st European Nonlinear Oscillations Conference (E. Kreuzer and G. Schmidt, eds.), Mathematical Research vol. 72, Akademie Verlag, Berlin 1993.
• 1993, Ruijgrok, M., Tondl, A., Verhulst, F. - Resonance in a rigid rotor with elastic support, Z. angew. Math. Mech. 73, 10, 255-263.
• 1994, Svoboda, R, Tondl, A., Verhulst, F. - Autoparametric resonance by coupling of linear and nonlinear systems, Int. J. Non-linear Mechanics 29, 2, pp. 225-232.
• 1994, Doelman, A., Verhulst, F. - Bifurcations of strongly nonlinear self- excited oscillations, Mathematical Methods in the Applied Sciences 17, pp. 189-207.
• 1995, Heijnekamp, J.J., Krol, M.S., Verhulst, F. - Averaging in nonlinear advective transport problems, Mathematical Methods in the Applied Sciences 18. pp. 437-448.
• 1996, Ruigrok, M. en Verhulst, F.- Parametric and autoparametric resonance, in Nonlinear Dynamical Systems and Chaos (eds. H.W.Broer, S.A. van Gils, I.Hoveijn, F.Takens), pp. 279-298, Birkh\"auser, Basel
• 1996, F.Verhulst - Autoparametric resonance, survey and new results, Proc. 2nd European Nonlinear Oscillations Conference (eds. Pust,H, Peterka, F.), Euromech vol. 1, pp. 483-488, Prague.
• 1997, R.J.A.G.Huveneers and F.Verhulst - A metaphor for adiabatic evolution to symmetry, SIAM J. Appl. Math. 57, pp. 1421-1442.
• 1998, F. Verhulst - Symmetry and integrability in Hamiltonian normal forms, in ``Symmetry and Perturbation Theory'' (D. Bambusi and G. Gaeta, eds.), Quaderni GNFM, Firenze 1998.
• 1998, F. Verhulst and R.J.A.G. Huveneers - Evolution towards Symmetry, Regular and Chaotic Dynamics V.3, pp. 45-55 (1998), Moscow. pdf file
• 1999, Ferdinand Verhulst - On averaging methods for partial differential equations, in ``Symmetry and Perturbation Theory, SPT 98'' pp. 79-95, (A. Degasperis and G. Gaeta, eds.), World Scientific, Singapore etc.
• 2000, Bob Rink and Ferdinand Verhulst - Near-integrability of periodic FPU-chains, Physica A 285, pp. 467-482.
• 2000, J.M. Tuwankotta and F. Verhulst - Symmetry and Resonance in Hamiltonian Systems, SIAM Journal on Applied Mathematics 61, pp. 1369-1385.
• 2001, J.M. Tuwankotta and F. Verhulst - Higher order resonance in two degree of freedom Hamiltonian system, in ''Symmetry and Perturbation Theory'', Proc. Intern. Conf. SPT2001 (D. Bambusi, G. Gaeta, M. Cadoni, eds.) pp. 206-213, World Scientific, Singapore (ISBN 981-02-4793-1).
• 2001, Lennaert van Veen, Theo Opsteegh and Ferdinand Verhulst - Active and passive ocean regimes in a low-order climate model, Tellus vol. 53A, pp. 616-528.
• 2002, Ferdinand Verhulst - Parametric and Autoparametric Resonance, Acta Applicandae Mathematicae 70, pp. 231-264.
• 2002, S. Fatimah and F. Verhulst - Bifurcation in Flow-induced Vibration, in ``Symmetry and Perturbation Theory'', SPT2002 (proc. of the conference held in Cala Gonone, 19-26 May 2002), S. Abenda, G. Gaeta, S. Walcher, eds., pp. 51-55, World Scientific, Singapore (ISBN 981-238-241-0).
• 2003, S. Fatimah and F. Verhulst - Suppressing flow-induced vibrations by parametric excitation, Nonlinear Dynamics 23, pp.275-297.
• 2003, J.M. Tuwankotta and F. Verhulst - Hamiltonian Systems with Widely Separated Frequencies, Nonlinearity 16, pp. 689-706.
• 2004, T. Bakri, R. Nabergoj, A. Tondl and F. Verhulst - Parametric excitation in nonlinear dynamics, International Journal of Non-Linear Mechanics, vol 39/2 pp 311 - 329.
• 2004, D. Crommelin, J.D. Opsteegh and F. Verhulst - Atmospheric regime behaviour, Journal of the Atmospheric Sciences, vol 61, pp 1406 - 1419.
• 2005, Johan Grasman, Ferdinand Verhulst and Shagi-Di Shih - The Lyapunov exponents of the Van der Pol oscillator, Mathematical Methods in the Applied Sciences 28, pp. 1131-1139.
• 2005, F. Verhulst and Abadi - Autoparametric Resonance of Relaxation Oscillations, ZAMM 85, pp. 122-131. pdf file
• 2005, Ferdinand Verhulst - Invariant manifolds in dissipative dynamical systems, Acta Applicandae Mathematicae 87, pp. 229-244. pdf file
• 2005, Ferdinand Verhulst - Quenching of self-excited vibrations, J. Engineering Math. 53, pp. 349-358. pdf file
• 2006, Ferdinand Verhulst - Measures of Chaos in Hamiltonian Systems, Proc. 2d Int. Conf. Nonlinear Normal Modes and Localization in Vibrating Systems, Samos, June 19-23, 2006. pdf file
• 2007, Ferdinand Verhulst and Taoufik Bakri - The dynamics of slow manifolds, J. Indones. Math. Soc., vol. 13, pp. 73-90. pdf file
• 2007, Ferdinand Verhulst - Periodic solutions and slow manifolds, Int. J. Bifurcation and Chaos, vol. 17, no. 8. pp. 2533-2540. pdf file
• 2007, Ferdinand Verhulst - Hamiltonian normal forms: Scholarpedia
• 2007, Ferdinand Verhulst - Emergence of slow manifolds in nonlinear wave equations, SPT2007 (proc. of the conference held in Otranto, Italy, June 2007),World Scientific (Gaeta, Vitolo and Walcher, eds.) pp. 206-214. pdf file
• 2008, Fadi Dohnal and Ferdinand Verhulst - Averaging in damping by parametric stiffness excitation, Nonlinear Dynamics 54, pp. 231-248. pdf file
• 2009, Taoufik Bakri, Hil G.E. Meijer and Ferdinand Verhulst - Emergence and bifurcations of Lyapunov manifolds in nonlinear wave equations, Journal of Nonlinear Science 19, pp. 1432-1467. pdf file
• 2009, Ferdinand Verhulst - Perturbation analysis of parametric resonance, Encyclopedia of Complexity and Systems Science, Springer. pdf file
• 2009, F. Veerman and F. Verhulst - Quasiperiodic phenomena in the Van der Pol-Mathieu equation, J. of Sound and Vibration.326, pp. 314-320. pdf file
• 2009, Ferdinand Verhulst en Oleg Kirillov - Bottema opende Whitney's paraplu (in Dutch), Nieuw Archief voor Wiskunde, 5e serie, deel 10, pp. 250-254. pdf file
• 2010, Oleg Kirillov and Ferdinand Verhulst - Paradoxes of dissipation-induced destabilization or who opened Whitney's umbrella?, ZAMM 90, pp. 462-488. pdf file
• 2010, Ferdinand Verhulst - Averaging Normal Forms for PDEs with applications to perturbed wave equations, in Integral Methods in Science and Engineering, Analytic Methods, C. Constanda and M.E. Perez, eds., vol. I, pp. 307-321, Birkhauser. pdf file
• 2010, Ferdinand Verhulst - Eine kuhle Sicht der Wahrheit, in Das Zebra-Buch zur Geometrie, F. Verhulst and S. Walcher, eds., pp. 199-247, Springer.
• 2011, Jiri Naprstek, Jaromir Horacek, Miloshav Okrouhlik, Bohdana Marvalova, Ferdinand Verhulst, Jerzy T. Sawicki, eds. - Vibration Problems, ICOVP 2011, Springer Proceedings in Physics 139, The 10th International Conference on Vibration Problems, Springer.
• 2011, Ferdinand Verhulst - Quenching Damping-Induced Instability, in Jiri Naprstek, Jaromir Horacek, Miloshav Okrouhlik, Bohdana Marvalova, Ferdinand Verhulst, Jerzy T. Sawicki, eds. - Vibration Problems, ICOVP 2011, Springer Proceedings in Physics 139, The 10th International Conference on Vibration Problems, Springer, pp. 543-547. pdf file
• 2011, Ferdinand Verhulst, section editor - Non-Linear Ordinary Differential Equations and Dynamical Systems, Mathematics of Complexity, 3 vols., 1858 pp. Robert A. Meyers, ed.-in-chief, Springer.
• 2011, Ferdinand Verhulst - Perturbation Analysis of Parametric Resonance, in Mathematics of Complexity, vol. 3., Robert A. Meyers, ed.-in-chief, pp. 1251-1264, Springer. pdf file
• 2011, Ferdinand Verhulst - Brouwer's rotating vessel I: stabilization, ZAMP, published online December 2011, DOI 10.1007/s00033-011-0177-5. pdf file
• 2012, Ferdinand Verhulst - Extension of Poincare's program for integrability, chaos and bifurcations, J. Chaotic Modeling and Simulation, accepted for publ. pdf file
• 2012, Ferdinand Verhulst - Aspects of Poincare's program for dynamical systems and mathematical physics, Acta Applicandae Mathematicae, doi:10.1007/s10440-012-9700-8. pdf file
• . 2012, Taoufik Bakri and Ferdinand Verhulst - Bifurcations of quasi-periodic dynamics: torus breakdown, submitted. pdf file
• . 2012, Ferdinand Verhulst - The interaction of geometry and analysis in Henri Poincare's conceptions, to be publ. in Nieuw Archief voor Wiskunde, September 2012. pdf file