Lyapunov Exponent Spectrum for Two-Mode Model in Spin-Wave Chaos

The results of numerical experiments on the two-mode model for yttrium iron garnet sphere in the parallel-pumping configuration are reported and the complete Lyapunov exponent spectrum is presented. A rather complicated structure of the Lyapunov exponent spectrum can be recognized by the appearance of the associated peak in the Kolmogorov-Sinai entropy and the Lyapunov dimension diagrams. The results confirm an important connexion between the effective number of spin-wave modes involved and the Lyapunov dimension of the attractors.