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arXiv · 1001.2347

Existence of periodic orbits in three-dimensional piecewise linear systems

Songmei 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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Songmei Huan, Xiao-Song Yang. 2010-01-14. Existence of periodic orbits in three-dimensional piecewise linear systems. https://arxiv.org/abs/1001.2347

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