Existence of periodic orbits in three-dimensional piecewise linear systems

2010/01/14 by Song-Mei Huan, Huan, Songmei, Xiao‐Song Yang +1
Mathematics · Physics and Astronomy · #34C05(Secondary) #34C25 #Advanced Differential Equations and Dynamical Systems #Chaos control and synchronization #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1001.2347

openalex publication_date 2010/01/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Based on the results about the invariant cones appeared in the literature this paper analyses the existence of periodic orbits in three-dimensional continuous piecewise linear homogeneous systems with two zones, and a necessary and sufficient condition for the existence of periodic orbits of such systems is given.

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