Adaptation to the Edge of Chaos in the Self-Adjusting Logistic Map

Details Adaptation to the Edge of Chaos in the Self-Adjusting Logistic Map Adaptation to the Edge of Chaos in the Self-Adjusting Logistic Map

2000-07-06

arxiv.org/abs/nlin/0007006v1

P. Melby, J. Kaidel, N. Weber, and A. Hubler, Phys. Rev. Lett. 84, 5991 (2000)

Nonlinear Sciences

Adaptation and Self-Organizing Systems

3 figures

Scientific paper

10.1103/PhysRevLett.84.5991

Self-adjusting, or adaptive systems have gathered much recent interest. We present a model for self-adjusting systems which treats the control parameters of the system as slowly varying, rather than constant. The dynamics of these parameters is governed by a low-pass filtered feedback from the dynamical variables of the system. We apply this model to the logistic map and examine the behavior of the control parameter. We find that the parameter leaves the chaotic regime. We observe a high probability of finding the parameter at the boundary between periodicity and chaos. We therefore find that this system exhibits adaptation to the edge of chaos.

Affiliated with

Also associated with

No associations

Rating

Adaptation to the Edge of Chaos in the Self-Adjusting Logistic Map 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 Adaptation to the Edge of Chaos in the Self-Adjusting Logistic Map, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Adaptation to the Edge of Chaos in the Self-Adjusting Logistic Map will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-17890