Remarks on the mean field dynamics of networks of chaotic elements

Details Remarks on the mean field dynamics of networks of chaotic elements Remarks on the mean field dynamics of networks of chaotic elements

1994-07-07

arxiv.org/abs/chao-dyn/9407002v1

Nonlinear Sciences

Chaotic Dynamics

15 pages; original has 15 figures which are not included here. Submitted to the special issue of Physica D as the proceedings

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Remarks on the mean field dynamics of networks of chaotic elements does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Remarks on the mean field dynamics of networks of chaotic elements, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Remarks on the mean field dynamics of networks of chaotic elements will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-703031