Periodic solutions of a perturbed autonomous system
From MaRDI portal
Publication:771960
DOI10.2307/1970327zbMath0091.26701OpenAlexW2330245602MaRDI QIDQ771960
Publication date: 1959
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1970327
Related Items (23)
Microbial predation in coupled chemostats: A global study of two coupled nonlinear oscillators ⋮ Asymptotic stability of forced oscillations emanating from a limit cycle ⋮ Frequency locking of periodic solutions to differential equations with impulsive perturbations ⋮ Controllably periodic perturbations of autonomous systems ⋮ Multiple positive solutions of singular nonlinear Sturm-Liouville problems with Carathéodory perturbed term ⋮ Bifurcations from a normally degenerate cycle in forced planar differential equations ⋮ How do conservative backbone curves perturb into forced responses? A Melnikov function analysis ⋮ Melnikov theory for a class of planar hybrid systems ⋮ Averaging principle and a variational approach to the problem of bifurcation of periodic solutions from nonisolated equilibria of the averaged equation ⋮ An alternative approach to study bifurcation from a limit cycle in periodically perturbed autonomous systems ⋮ Periodic orbits and invariant cones in three-dimensional piecewise linear systems ⋮ A periodic bifurcation problem depending on a random variable ⋮ On perturbations of systems with multidimensional degeneration ⋮ Existence and stability of limit cycles in the model of a planar passive biped walking down a slope ⋮ Periodic solutions for planar autonomous systems with nonsmooth periodic perturbations ⋮ Nonsmooth bifurcation problems in finite dimensional spaces via scaling of variables ⋮ Bifurcation structures of periodically forced oscillators ⋮ Continuation Theorems for Periodic Perturbations of Autonomous Systems ⋮ A bifurcation problem for a class of periodically perturbed autonomous parabolic equations ⋮ Forced frequency locking for differential equations with distributional forcings ⋮ Bifurcations from nondegenerate families of periodic solutions in Lipschitz systems ⋮ A Nonstandard Resonance Problem for Ordinary Differential Equations ⋮ Existence, Uniqueness, and Stability of Oscillations in Differential Equations with Asymmetric Nonlinearities
This page was built for publication: Periodic solutions of a perturbed autonomous system