Symmetric and periodic bouncing motions for a class of finite and infinite locally coupled superlinear systems

DOI10.1016/J.JDE.2024.03.031MaRDI QIDQ6493725

Zhi Guo Wang, Chao Wang

Publication date: 29 April 2024

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

zbMATH Keywords

phase plane analysisimpactsperiodic bouncing solutionszero point theoremlocally-coupled systems

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)

Cites Work

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• Exponential stability of breathers in Hamiltonian networks of weakly coupled oscillators
• Large amplitude periodic bouncing for impact oscillators with damping
• Periodic Bouncing Solutions for Nonlinear Impact Oscillators
• The periodic motions of a class of symmetric superlinear Hill’s impact equations
• Periodic Motions of Linear Impact Oscillators via the Successor Map
• Periodic solutions of second order differential equations with an obstacle
• Necessary and suffient conditions for existence of periodic motions of forced systems of particles

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