Existence of periodic orbits in three-dimensional piecewise linear systems

Details Existence of periodic orbits in three-dimensional piecewise linear systems Existence of periodic orbits in three-dimensional piecewise linear systems

2010-01-14

arxiv.org/abs/1001.2347v1

Mathematics

Dynamical Systems

17 pages, 6 figures

Scientific paper

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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