On the Poincaré-Adronov-Melnikov method for the existence of grazing impact periodic solutions of differential equations

DOI10.1016/j.jde.2019.10.014zbMath1435.34024OpenAlexW2979699167MaRDI QIDQ2286692

Flaviano Battelli, Michal Fečkan

Publication date: 22 January 2020

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

Full work available at URL: https://doi.org/10.1016/j.jde.2019.10.014

zbMATH Keywords

periodic solutionspersistenceimpactgrazingPoincaré-Andronov-Melnikov function

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Perturbations of ordinary differential equations (34D10) Discontinuous ordinary differential equations (34A36)

Related Items (5)

Limit Cycles in Discontinuous Piecewise Linear Planar Hamiltonian Systems Without Equilibrium Points ⋮ Impact limit cycles in the planar piecewise linear hybrid systems ⋮ Periodic solutions in slowly varying discontinuous differential equations: a non-generic case ⋮ Limit cycles in the discontinuous planar piecewise linear systems with three zones ⋮ Unnamed Item

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Piecewise-smooth dynamical systems. Theory and applications
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