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Numerical test for hyperbolicity in chaotic systems with multiple time delays
- 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
- Subjects :
- Nonlinear Sciences - Chaotic Dynamics
Subjects
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