Affordable Access

Publisher Website

Entropy of random chaotic interval map with noise which causes coarse-graining

Authors
Journal
Journal of Mathematical Analysis and Applications
0022-247X
Publisher
Elsevier
Publication Date
Volume
414
Issue
1
Identifiers
DOI: 10.1016/j.jmaa.2014.01.013
Keywords
  • Entropy Of Markov Chain
  • Random Dynamical System
  • Lyapunov Exponent
  • Noise-Induced Phenomena
Disciplines
  • Mathematics

Abstract

Abstract A random chaotic interval map with noise which causes coarse-graining induces a finite-state Markov chain. For a map topologically conjugate to a piecewise-linear map with the Lebesgue measure being ergodic, we prove that the Shannon entropy for the induced Markov chain possesses a finite limit as the noise level tends to zero. In most cases, the limit turns out to be strictly greater than the Lyapunov exponent of the original map without noise.

There are no comments yet on this publication. Be the first to share your thoughts.