2010•arXiv (Cornell University)Open access
Existence of periodic orbits in three-dimensional piecewise linear systems
Song-Mei Huan, Xiao‐Song Yang
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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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