×

Lyapunov-type numbers and torus breakdown: Numerical aspects and a case study. (English) Zbl 0885.65079

The authors give some general results on Lyapunov-type numbers defined by N. Fenichel [Math. J., Indiana Univ. 21, 193-226 (1971; Zbl 0246.58015)] and their calculation. As example they examine the breakdown mechanism for a 2-torus associated to a system of coupled oscillators.

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
34D08 Characteristic and Lyapunov exponents of ordinary differential equations
37-XX Dynamical systems and ergodic theory

Citations:

Zbl 0246.58015
PDFBibTeX XMLCite
Full Text: DOI