Hierarchy of random deterministic chaotic maps with an invariant measure

M. A. Jafarizadeh; S. Behnia

doi:10.1063/1.1610240

Hierarchy of random deterministic chaotic maps with an invariant measure

Chaotic Dynamics 2015-06-26 v1

Authors: M. A. Jafarizadeh , S. Behnia

View on arXiv ↗ PDF ↗ DOI ↗

Abstract

Hierarchy of one and many-parameter families of random trigonometric chaotic maps and one-parameter random elliptic chaotic maps of $\bf{cn}$ type with an invariant measure have been introduced. Using the invariant measure (Sinai-Ruelle-Bowen measure), the Kolmogrov-Sinai entropy of the random chaotic maps have been calculated analytically, where the numerical simulations support the results

Keywords

random chaotic maps invariant measure sinai-ruelle-bowen measure kolmogorov-sinai entropy trigonometric maps elliptic maps

Cite

@article{arxiv.nlin/0301002,
  title  = {Hierarchy of random deterministic chaotic maps with an invariant measure},
  author = {M. A. Jafarizadeh and S. Behnia},
  journal= {arXiv preprint arXiv:nlin/0301002},
  year   = {2015}
}

Comments

11 pages, Latex

Related papers

View all related →