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Numerical test for hyperbolicity in chaotic systems with multiple time delays

Authors :
Kuptsov, Pavel V.
Kuznetsov, Sergey P.
Publication Year :
2017

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.<br />Comment: 16 pages, 3 figures

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1708.04435
Document Type :
Working Paper
Full Text :
https://doi.org/10.1016/j.cnsns.2017.08.016