Numerical test for hyperbolicity in chaotic systems with multiple time delays
Chaotic Dynamics
2017-09-13 v1
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.
Cite
@article{arxiv.1708.04435,
title = {Numerical test for hyperbolicity in chaotic systems with multiple time delays},
author = {Pavel V. Kuptsov and Sergey P. Kuznetsov},
journal= {arXiv preprint arXiv:1708.04435},
year = {2017}
}
Comments
16 pages, 3 figures