Remarks on the mean field dynamics of networks of chaotic elements
Preprint
- 7 July 1994
Abstract
Fluctuations of the mean field of a globally coupled dynamical systems are discussed. The origin of hidden coherence is related with the instability of the fixed point solution of the self-consistent Perron-Frobenius equation. Collective dynamics in globally coupled tent maps are re-examined, both with the help of direct simulation and the Perron-Frobenius equation. Collective chaos in a single band state, and bifurcation against initial conditions in a two-band state are clarified with the return maps of the mean-field, Lyapunov spectra, and also the newly introduced Lyapunov exponent for the Perron-Frobenius equation. Future problems on the collective dynamics are discussed.Keywords
All Related Versions
- Version 1, 1994-07-07, ArXiv
- Published version: Physica D: Nonlinear Phenomena, 86 (1-2), 158.
This publication has 0 references indexed in Scilit: