PERIODIC SOLUTIONS AND SLOW MANIFOLDS

DOI10.1142/S0218127407018609zbMath1298.34074MaRDI QIDQ3511067

Ferdinand Verhulst

Publication date: 4 July 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Periodic orbits of vector fields and flows (37C27) Singular perturbations for ordinary differential equations (34E15) Relaxation oscillations for ordinary differential equations (34C26)

Related Items (8)

Glycolysis in saccharomyces cerevisiae: algorithmic exploration of robustness and origin of oscillations ⋮ Response solutions for strongly dissipative quasi-periodically forced systems with arbitrary nonlinearities and frequencies ⋮ ON THE MODIFIED LOGISTIC EQUATION ⋮ Existence of travelling wave solutions for a Fisher-Kolmogorov system with biomedical applications ⋮ The role of slow system dynamics in predicting the degeneracy of slow invariant manifolds: the case of vdP relaxation-oscillations ⋮ Response solutions for forced systems with large dissipation and arbitrary frequency vectors ⋮ nD methods for 1D parameter-dependent systems ⋮ Averaging on slow and fast cycles of a three time scale system

Cites Work

• Geometric singular perturbation theory for ordinary differential equations
• A complete analysis of a model nonlinear singular perturbation problem having a continuous locus of singular points
• Nonlinear differential equations and dynamical systems
• Relaxation oscillations in \({\mathbb R}^3\)
• Extending slow manifolds near transcritical and pitchfork singularities
• ON THE MODIFIED LOGISTIC EQUATION
• Autoparametric resonance of relaxation oscillations
• Relaxation oscillations including a standard chase on French ducks
• Homoclinic bifurcations in slow-fast second order systems
• Relaxation oscillation and canard explosion
• Unnamed Item
• Unnamed Item

This page was built for publication: PERIODIC SOLUTIONS AND SLOW MANIFOLDS