The Mapping Dynamics of a Three-Piecewise Linear System under a Periodic Excitation

摘要

The mapping dynamics of non-smooth dynamical systems is presented through a three-piecewise linear system with a periodic excitation. The mapping structures for periodic motions are developed and a transition from a periodic motion to another one is qualitatively discussed through the mapping structures. From such mapping structures, the stable and unstable periodic motions can be uniquely determined, and generic mapping series in chaotic motion can be certainly found. This methodology is extendable to any non-smooth dynamical system.