The computation of lyapunov exponents via spatial integration with application to blowout bifurcations

✍ Scribed by Philip J. Aston; Michael Dellnitz

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 808 KB
• Volume: 170
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/s0045-7825(98)00196-0

✦ Synopsis

We propose a new method tor the numerical approximation of the largest Lyapunov exponent. This method is based on the computation of a spatial average with respect to an underlying (natural) invariant measure rather than on a long-term simulation of the dynamical system. This approach is particularly advantageous for the detection of blowout bifurcations of a synchronous chaotic state, and we illustrate this fact for a system of two coupled Duffing oscillators.