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arXiv · 1708.04435

Numerical test for hyperbolicity in chaotic systems with multiple time delays

Pavel V. Kuptsov·Sergey P. Kuznetsov
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Abstract

We develop an extension of the fast method of angles for hyperbolicity verification in chaotic systems with an arbitrary number of time-delay feedback loops. The adopted method is based on the theory of covariant Lyapunov vectors and provides an efficient algorithm applicable for systems with high-dimensional phase space. Three particular examples of time-delay systems are analyzed and in all cases the expected hyperbolicity is confirmed.

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Pavel V. Kuptsov, Sergey P. Kuznetsov. 2017-08-15. Numerical test for hyperbolicity in chaotic systems with multiple time delays. https://doi.org/10.1016/j.cnsns.2017.08.016

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