Publicaties
2021
Wetenschappelijke publicaties
Makarenkov, O.
, & Verhulst, F. (2021).
Resonant periodic solutions in regularized impact oscillator.
Journal of Mathematical Analysis and Applications,
499(2), 1-17. [125035].
https://doi.org/10.1016/j.jmaa.2021.1250352020
Wetenschappelijke publicaties
Verhulst, F., & Tuwankotta, J. M. (2020).
A Parametrically Excited Nonlinear Wave Equation. In
Nonlinear Dynamics of Discrete and Continuous Systems (pp. 155-169). (Advanced Structured Materials; Vol. 139). Springer Science and Business Media Deutschland GmbH.
https://doi.org/10.1007/978-3-030-53006-8_11 Verhulst, F. (2020).
Henri Poincare's neglected ideas: Issue for J. Scheurle (eds T. Hagen, A. Johann, H.-P. Kruse, F. Rupp, S. Walcher).
Discrete and Continuous Dynamical Systems - Series S,
13(4), 1411-1427.
https://doi.org/10.3934/dcdss.2020079 2019
Wetenschappelijke publicaties
Populariserende publicaties
Verhulst, F. (2019). Inleiding op leven en werk van Laplace. In C. Andriesse (Ed.), Zo is het, de bewijzen van Laplace (Vol. 94, pp. 5-12). (Epsilon uitgaven; Vol. 94). Epsilon.
2018
Wetenschappelijke publicaties
2017
Wetenschappelijke publicaties
Verhulst, F. (2017). Recurrence and diffusion in FPU chains with alternating masses. In C. Skiadas (Ed.), CHAOS 2017 Proceedings: 10th Chaotic modeling and simulation International Conference (2017 ed., pp. 855-858). CMSIM.
Verhulst, F. (2017). Linear versus nonlinear stability in Hamiltonian systems. In M. Belhaq (Ed.), Recent Trends in Applied Nonlinear Mechanics and Physics (pp. 121-127). (Springer Proceedings in Physics; Vol. 199). Springer.
Bruggeman, R. W., & Verhulst, F. (2017).
Dynamics of a chain with four particles, alternating masses and nearest neighbor interaction. In M. Belhaq (Ed.),
Springer Proceedings in Physics: Recent trends in applied nonlinear mechanics and physics (pp. 103-120). (Springer Proceedings in Physics; Vol. 199). Springer.
https://doi.org/10.1007/978-3-319-63937-6_5 2016
Wetenschappelijke publicaties
Verhulst, F. (2016). Henri Poincare's inventions in dynamical systems and topology. In The foundations of chaos revisited: from Poincare to recent advancements (pp. 1-25). Springer.
Vakpublicaties
Verhulst, F. (2016). Vergeet `zuivere en toegepaste' wiskunde. Nieuw archief voor wiskunde. Serie 5, 17(4), 295-197.
2015
Wetenschappelijke publicaties
2014
Wetenschappelijke publicaties
Verhulst, F. (2014). How to analyse Hamiltonian non-integrability. Canadian Mathematical Society Notes, 46(6), 12-13.
Verhulst, F. (2014).
Hunting French ducks in population dynamics. In J. Awrejcewicz (Ed.),
Applied Non-Linear Dynamical Systems (pp. 319-335). (Springer Proceedings in Mathematics and Statistics; Vol. 93). Springer.
https://doi.org/10.1007/978-3-319-08266-0_23 2013
Wetenschappelijke publicaties
Populariserende publicaties
2012
Wetenschappelijke publicaties
Bakri, T., Kuznetsov, Y., Verhulst, F., & Doedel, E. J. (2012).
Multiple solutions of a generalized singular perturbed Bratu problem.
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering,
24(4), [1250095].
https://doi.org/10.1142/S0218127412500952 Overige resultaten
Verhulst, F., & Wepster, S. A. (2012). Membership Editorial Board - Nieuw archief voor wiskunde.
2011
Wetenschappelijke publicaties
Leeuwen, A. P., Verhulst, F., Reijneveld, S., Vollebergh, W. A. M., Ormel, J., & Huizink, A. (2011). can the Gateway Hypothesis, the Common Liability Model and/or the Route of Administration Model predict Initiation of Cannabis Use During Adolescence? A Survival Analysis-The TRAILS Study. Journal of Adolescent Health, 48(1), 73-78.
Verhulst, F. (2011). Quenching damping-induced instability. In J. Naprstek (Ed.), Vibration problems ICOVP 2011 : the 10th International Conference on Vibration Problems (pp. 543-547). (Springer proceedings in physics; Vol. 239). Springer.
Naprstek, J., Horacek, J., Okrouhlik, M., Marvalova, B., Verhulst, F., & Sawicki, J. T. (2011). Vibration problems ICOVP 2011 : the 10th International Conference on Vibration Problems. (Springer proceedings in physics ed.) Springer.
Verhulst, F. (2011). Perturbation analysis of parametric resonance. In R. A. Meyers (Ed.), Mathematics of complexity and dynamical systems (pp. 1251-1264). Springer.
Griffith-Lendering, M. F. H., Huijbregts, S. C. J., Huizink, A. C., Ormel, J., Verhulst, F., Vollebergh, W. A. M., & Swaab, H. (2011). Social skills as precursors of cannabis use in young adolescents: a TRAILS study. Journal of Clinical Child and Adolescent Psychology, 40(12), 706-714.
2010
Wetenschappelijke publicaties
Kirillov, O. N., & Verhulst, F. (2010). Paradoxes of dissipation-induced destabilization or who opened Whitney's umbrella? Zeitschrift fur angewandte Mathematik und Mechanik, 90(6), 462-488.
Verhulst, F., & Walcher, S. (2010). Das Zebra-Buch zur Geometrie. Springer.
Verhulst, F. (2010). Averaging Normal Forms for PDEs with applications to perturbed wave equations. In C. Constanda, & M. E. Pérez (Eds.), Integral methods in science and engineering (pp. 307-321). Birkhäuser.
Vakpublicaties
Verhulst, F. (2010). Eine kuhle Sicht der Wahrheit. In F. Verhulst, & S. Walcher (Eds.), Zebra-Buch zur Geometrie (pp. 199-247). Springer.
2009
Wetenschappelijke publicaties
Verhulst, F. (2009). Perturbation analysis of parametric resolutions. In R. A. Meyer (Ed.), Encyclopedia of Complexity and Systems Science Springer.
Verhulst, F. (2009). Nonlinear Ordinary Differential Equations and Dynamical Systems. In R. A. Meyer (Ed.), Encyclopedia of Complexity and Systems Science
Bakri, T., Meijer, H., & Verhulst, F. (2009). Emergence and bifurcations of Lyapunov manifolds in nonlinear wave equations. Journal of Nonlinear Science, 19(5), 571-596.
Verhulst, F. (2009). Linear algebraic groups. Birkhäuser Boston.
2008
Wetenschappelijke publicaties
Dohnal, F., & Verhulst, F. (2008). Averaging in vibration suppression by parametric stiffness excitation. Nonlinear Dynamics, 54(3), 231-248.
Overige resultaten
Verhulst, F. (2008). Membership Editorial Board - Journal of nonlinear science.
Verhulst, F. (2008). Membership Editorial Board - Journal fur die reine und angewandte Mathematik.
2007
Wetenschappelijke publicaties
Verhulst, F. (2007). Singular perturbation methods for slow-fast dynamics. Nonlinear Dynamics, 50(4), 747-753.
Verhulst, F. (2007). Periodic solutions and slow manifolds. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 17, 2533-2540.
Sanders, J. A., Verhulst, F., & Murdoch, J. B. (2007). Averaging Methods in Nonlinear Dynamical systems, 2d ed. (Applied Mathematical Sciences ed.) Springer.
Verhulst, F., & Bakri, T. (2007). The dynamics of slow manifolds. Journal of Indonesian Mathematical Society, 13(1), 73-90.
Verhulst, F. (2007). Emergence of slow manifolds in nonlinear wave equations. In G. Gaeta, R. Vitolo, & S. Walcher (Eds.), Symmetry and Perturbation Theory, SPT 2007 (pp. 206-214). World Scienctific.
Vakpublicaties
Verhulst, F. (2007). Een Koele Blik op Waarheid, bewijzen en redeneren in de wiskunde. (Zebra ed.) Epsilon.
2006
Wetenschappelijke publicaties
Verhulst, F. (2006). Quencing of self-excited vibrations. Journal Engineering Mathematics, 53, 349-358.
Verhulst, F. (2006). Measures of Chaos in Hamiltonian Systems. In A. F. Vakakis (Ed.), Proceedings 2d International Conference Nonlinear Normal Modes and Localization in Vibrating Systems (pp. 94-96).
2005
Wetenschappelijke publicaties
Stevens, G. W. J. M., Pels, T. V. M., Vollebergh, W. A. M., Bengi-Arslan, L., Verhulst, F. C., & Crijnen, A. A. M. (2005). Emotionele problemen en gedragsproblemen bij Marokkaanse, Turkse en Nederlandse 4- tot 18-jarigen in Nederland. Tijdschrift voor Psychiatrie, 47(11), 779-786.
Grasman, J., Verhulst, F., & Shih, S-D. (2005). The Lyapunov exponents of the van der Pol oscillator. Mathematical Methods in the Applied Sciences, 28, 1131-1139.
Verhulst, F. (2005). Invariant manifolds in dissipative dynamical systems. Acta Applicandae Mathematicae, 87, 229-244.
Verhulst, F. (2005). A Workbook on Singular Perturbations, boundary layers and multiple time dynamics. (Texts in Applied Mathematics ed.) Springer.
Verhulst, F., & Abadi, A. (2005). Autoparametric Resonance of Relaxation Oscillations. Zeitschrift fur angewandte Mathematik und Mechanik, 85, 122-131.
2004
Wetenschappelijke publicaties
Bakri, T., Nabergoj, R., Tondl, A., & Verhulst, F. (2004). Parametric excitation in non-linear dynamics. International Journal of Non-Linear Mechanics, 39, 311-329.
Crommelin, D., Opsteegh, J. D., & Verhulst, F. (2004). Atmospheric regime behaviour. Journal of the atmospheric sciences, 61, 1406-1419.
2003
Wetenschappelijke publicaties
Stevens, G. W. J. M., Pels, T., Bengi-Arslan, L.
, Verhulst, F. C., Vollebergh, W. A. M., & Crijnen, A. A. M. (2003).
Parent, teacher and self-reported problem behavior in The Netherlands: Comparing Moroccan immigrant with Dutch and with Turkish immigrant children and adolescents.
Social Psychiatry and Psychiatric Epidemiology,
38(10), 576-585.
https://doi.org/10.1007/s00127-003-0677-5 Fatimah, S., & Verhulst, F. (2003). Suppressing flow-induced vibrations by parametric excitation. Nonlinear Dynamics, 23, 275-297.
Tuwankotta, J. M., & Verhulst, F. (2003). Hamiltonian Systems with Widely Seperated Frequencies. Nonlinearity, 16, 689-706.
Overige resultaten
Verhulst, F. (2003). Membership Editorial Board - Zeitschrift fur angewandte Mathematik und Mechanik.
Verhulst, F. (2003). Membership Editorial Board - ZEBRA reeks.
Verhulst, F. (2003). Membership Editorial Board - WEBsite SIAM/SIAG on Dynamical Systems, book reviews.
Verhulst, F. (2003). Membership Editorial Board - SIAM Classics in applied mathematics series.
Verhulst, F. (2003). Membership Editorial Board - Epsilon uitgaven.
2002
Wetenschappelijke publicaties
Verhulst, F. (2002). Parametric and Autoparametric Resonance. Acta Applicandae Mathematicae, 70, 231-264.
Overige resultaten
Verhulst, F. (2002). Voorspelbaarheid in niet-lineaire mechanische systemen.
Verhulst, F. (2002). Slow Manifolds.
Verhulst, F. (2002). Parametric Excitation in Nonlinear Dynamics.
Verhulst, F. (2002). Chaostheorie.
Verhulst, F. (2002). Behaviour near Slow Manifolds.
2001
Wetenschappelijke publicaties
van Veen, L., Opsteegh, J. D., & Verhulst, F. (2001). Active and passive ocean regimes in a low-order climate model. Tellus. Series A, dynamic meteorology and oceanography, 53A, 616-628.
Tuwankotta, J. M., & Verhulst, F. (2001). Higher order resonance in two degree of freedom Hamiltonian. In D. Bambusi, G. Gaeta, & M. Cadoni (Eds.), ''Symmetry and Perturbation Theory'', Proc. Intern. Conf. SPT2001 ' (pp. 206-213). World Scienctific.
Overige resultaten
Verhulst, F. (2001). Chaostheorie: filosofisch-historische aspecten en toepassingen.
Verhulst, F. (2001). Chaos, theory and applications.
Verhulst, F. (2001). Bifurcations and symmetry in autoparametric systems.
Verhulst, F. (2001). Bifurcations and limit sets in autoparametric systems.
Verhulst, F. (2001). Autoparametric Systems.
2000
Wetenschappelijke publicaties
Rink, B. W., & Verhulst, F. (2000). Near-integrability of periodic FPU chains. Physica. A, theoretical and statistical physics, 467-482.
Tuwankotta, J. M., & Verhulst, F. (2000). Symmetry and Resonance in Hamiltonian Systems. SIAM Journal on Applied Mathematics, 61, 1769-1783.
Tondl, A., Ruijgrok, M., Verhulst, F., & Nabergoj, R. (2000). Autoparametric Resonance in Mechanical Systems. Cambridge University Press.
1999
Wetenschappelijke publicaties
Verhulst, F. (1999). On averaging methods for partial differential equations. In A. Degasperis, & G. Gaeta (Eds.), SPT98-Symmetry and Perturbation Theory II (pp. 79-95). World Scienctific.
Verhulst, F. (1999). The validation of metaphors. In C. van Dijkum, & E. van Kuijk (Eds.), Validation of Simulation Models (pp. 30-44). (SISWO Publ.; No. 403). SISWO.
Verhulst, F. (1999). Psychoanalysis and chaos theory. International Journal of Psychonalysis, 80, 623-625.
1998
Wetenschappelijke publicaties
Verhulst, F., & Huveneers, R. (1998). Evolution towards Symmetry. Regular and Chaotic Dynamics, V(3), 45-55.
Verhulst, F. (1998). Symmetry and integrability in Hamiltonian normal forms. In D. Bambusi, & G. Gaeta (Eds.), Symmetry and Perturbation Theory (pp. 245-284). Quaderni GNFM.
Vakpublicaties
Verhulst, F. (1998). Henri Poincaré, leven en werk. In H. W. Broer, A. H. P. van der Burgh, & F. Verhulst (Eds.), Een nacht vol opwinding, een keuze uit de filosofische essays van Henri Poincaré (pp. 3-14). (Epsilon Uitgaven). Epsilon Uitgaven.
Overige resultaten
Verhulst, F. (1998). Instabiliteit door nietlineaire mode-interactie.
Verhulst, F. (1998). Hidden Symmetry.
Verhulst, F. (1998). Henri Poincaré, leven en werk.
Verhulst, F. (1998). Geometric Singular Perturbation Theory.
1997
Wetenschappelijke publicaties
Huveneers, R., & Verhulst, F. (1997). A metaphor for adiabatic evolution to symmetry. SIAM Journal on Applied Mathematics, 57, 1421-1442.
Overige resultaten
Verhulst, F. (1997). Zelforganisatie, Complexiteit en Chaos.
Verhulst, F. (1997). Modellen, Cartoons en Metaforen.
Verhulst, F. (1997). Fearful symmetry.
Verhulst, F. (1997). Extension's of Tykhonov's theorem.
Verhulst, F. (1997). Evolution towards symmetry.
Verhulst, F. (1997). Denken en rekenen over atmosferen en oceanen.
1996
Wetenschappelijke publicaties
Verhulst, F. (1996). Autoparametric resonance, survey and new results. In H. Pust, & F. Peterka (Eds.), Proceedings 2nd European Nonlinear Oscillations Conference (pp. 483-488). Euromech.
Verhulst, F. (1996). Nonlinear Differential Equations and Dynamical Systems, revised and extended edition. (Universitext ed.) Springer.
Vakpublicaties
Verhulst, F. (1996). Henri Poincaré. In A. W. Grootendorst (Ed.), Vakantiecursus 1996 Chaos (pp. 47-62). (CWI Syllabus; No. 41). CWI.