Riddling and chaotic synchronization of coupled piecewise-linear Lorenz maps

Details Riddling and chaotic synchronization of coupled piecewise-linear Lorenz maps Riddling and chaotic synchronization of coupled piecewise-linear Lorenz maps

2009-10-26

arxiv.org/abs/0910.4982v1

Physica A, 388:2515-2525 (2009)

Nonlinear Sciences

Chaotic Dynamics

22 pages (preprint format), 8 figures

Scientific paper

10.1016/j.physa.2009.02.015

We investigate the parametric evolution of riddled basins related to synchronization of chaos in two coupled piecewise-linear Lorenz maps. Riddling means that the basin of the synchronized attractor is shown to be riddled with holes belonging to another basin in an arbitrarily fine scale, which has serious consequences on the predictability of the final state for such a coupled system. We found that there are wide parameter intervals for which two piecewise-linear Lorenz maps exhibit riddled basins (globally or locally), which indicates that there are riddled basins in coupled Lorenz equations, as previously suggested by numerical experiments. The use of piecewise-linear maps makes it possible to prove rigorously the mathematical requirements for the existence of riddled basins.

Affiliated with

Also associated with

No associations

Rating

Riddling and chaotic synchronization of coupled piecewise-linear Lorenz maps 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 Riddling and chaotic synchronization of coupled piecewise-linear Lorenz maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Riddling and chaotic synchronization of coupled piecewise-linear Lorenz maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-481577