Periodic solutions of some classes of continuous second-order differential equations

DOI10.3934/DCDSB.2017022zbMath1369.34060OpenAlexW2562994140MaRDI QIDQ524006

Amar Makhlouf, Jaume Llibre

Publication date: 25 April 2017

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2017022

zbMATH Keywords

periodic solutionssecond order differential equationsaveraging theory

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Averaging method for ordinary differential equations (34C29)

Related Items (3)

Zero-Hopf periodic orbit of a quadratic system of differential equations obtained from a third-order differential equation ⋮ Existence and uniqueness of periodic solutions for a class of higher order differential equations ⋮ Periodic solutions and their stability of some higher-order positively homogenous differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• On Yu. A. Mitropol'skii's theorem on periodic solutions of systems of nonlinear differential equations with nondifferentiable right-hand sides
• Persistence of equilibria as periodic solutions of forced systems
• Detecting periodic orbits in some 3D chaotic quadratic polynomial differential systems
• Periodic solutions of Duffing's equations with superquadratic potential
• Averaging methods for finding periodic orbits via Brouwer degree.
• Continuation Theorems for Periodic Perturbations of Autonomous Systems
• The number of stable periodic solutions of time-dependent Hamiltonian systems with one degree of freedom
• Elements of applied bifurcation theory

This page was built for publication: Periodic solutions of some classes of continuous second-order differential equations