Numerical test for hyperbolicity in chaotic systems with multiple time delays

摘要

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