Failure of linear control in noisy coupled map lattices

Details Failure of linear control in noisy coupled map lattices Failure of linear control in noisy coupled map lattices

1997-12-21

arxiv.org/abs/chao-dyn/9712018v1

Nonlinear Sciences

Chaotic Dynamics

16 pages including 3 figures

Scientific paper

10.1103/PhysRevE.57.5271

We study a 1D ring of diffusively coupled logistic maps in the vicinity of an unstable, spatially homogeneous fixed point. The failure of linear controllers due to additive noise is discussed with the aim of clarifying the failure mechanism. A criterion is suggested for estimating the noise level that can be tolerated by the given controller. The criterion implies the loss of control for surprisingly low noise levels in certain cases of interest, and accurately accounts for the results of numerical experiments over a broad range of parameter values. Previous results of Grigoriev, et al (Phys. Rev. Lett., 79, 2795) are reviewed and compared with our numerical and analytical results.

Affiliated with

Also associated with

No associations

Rating

Failure of linear control in noisy coupled map lattices 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 Failure of linear control in noisy coupled map lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Failure of linear control in noisy coupled map lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-516803