A Melnikov analysis on a family of second order discontinuous differential equations

DOI10.1007/S40863-024-00436-5MaRDI QIDQ6656153

Douglas D. Novaes, Luan V. M. F. Silva

Publication date: 2 January 2025

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsMelnikov methoddiscontinuous differential equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Discontinuous ordinary differential equations (34A36) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Generic bifurcations of low codimension of planar Filippov systems
• On the application of KAM theory to discontinuous dynamical systems
• Periodic solutions of discontinuous damped Duffing equations
• Higher order Melnikov analysis for planar piecewise linear vector fields with nonlinear switching curve
• On the Hilbert number for piecewise linear vector fields with algebraic discontinuity set
• Periodic solutions of a class of non-autonomous discontinuous second-order differential equations
• Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold
• The Melnikov Method and Subharmonic Orbits in a Piecewise-Smooth System
• Study of Periodic Orbits in Periodic Perturbations of Planar Reversible Filippov Systems Having a Twofold Cycle
• Invariant tori and boundedness of solutions of non-smooth oscillators with Lebesgue-integrable forcing term

This page was built for publication: A Melnikov analysis on a family of second order discontinuous differential equations

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6656153)