Periodic solutions in slowly varying discontinuous differential equations: a non-generic case

DOI10.1007/s10884-022-10155-0OpenAlexW4226354344WikidataQ115382862 ScholiaQ115382862MaRDI QIDQ6195993

Michal Fečkan, Flaviano Battelli

Publication date: 14 March 2024

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-022-10155-0

zbMATH Keywords

periodic solutionspersistencediscontinuous differential equationsMelnikov conditions

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Discontinuous ordinary differential equations (34A36) Singular perturbations for ordinary differential equations (34E15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamics and bifurcations of non-smooth mechanical systems
• Non-smooth dynamical systems
• Exponential dichotomies and transversal homoclinic points
• General Melnikov approach to implicit ODE's
• On the Poincaré-Adronov-Melnikov method for the existence of grazing impact periodic solutions of differential equations
• Piecewise-smooth dynamical systems. Theory and applications
• Planar systems of piecewise linear differential equations with a line of discontinuity
• Periodic Orbits in Slowly Varying Oscillators
• Piecewise linear approach to an archetypal oscillator for smooth and discontinuous dynamics

This page was built for publication: Periodic solutions in slowly varying discontinuous differential equations: a non-generic case