Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5011324 | Communications in Nonlinear Science and Numerical Simulation | 2018 | 18 Pages |
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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Authors
Pavel V. Kuptsov, Sergey P. Kuznetsov,