Chaos-nonchaos phase transitions induced by external noise in ensembles of nonlinearly coupled oscillators.
Nonlinear dynamical behaviors of ensembles of nonlinearly coupled oscillators subjected to external noise are studied on the basis of nonlinear Fokker-Planck equations. The effects of two kinds of noise, the Langevin noise and the noise introduced in the coupling strength, are investigated, and phase transitions involving chaos-nonchaos bifurcations are found to occur as the noise level is changed. An H theorem is proposed for the nonlinear Fokker-Planck equation to ensure stability of the Gaussian type solution that is approached for large times.
Shiino
M
M
Department of Applied Physics, Faculty of Science, Tokyo Institute of Technology, 2-12-1 Ohokayama, Meguro-ku, Tokyo, Japan.
Yoshida
K
K