Periodic bouncing solutions for sublinear impact oscillator

Abstract

The existence of periodic bouncing solutions for sublinear impact oscillator is proved by using Poincaré-Birkhoff twist theorem. The approach of this paper is based on a well defined successor map and the phase-plane analysis of the spiral properties.

Keywords

• impact oscillator
• sublinear
• periodic solution
• successor map
• poincaré-birkhoff twist theorem