Volume 9, Issue 1, February 2002, Pages 26 - 41
Hierarchy of Chaotic Maps with an Invariant Measure and their Compositions
M.A. Jafarizadeh, S. Behnia
Received 12 February 2001, Revised 29 September 2001, Accepted 1 October 2001, Available Online 1 February 2002.
- https://doi.org/10.2991/jnmp.2002.9.1.4How to use a DOI?
- We give a hierarchy of many-parameter families of maps of the interval [0, 1] with an invariant measure and using the measure, we calculate KolmogorovSinai entropy of these maps analytically. In contrary to the usual one-dimensional maps these maps do not possess period doubling or period-n-tupling cascade bifurcation to chaos, but they have single fixed point attractor at certain region of parameters space, where they bifurcate directly to chaos without having period-n-tupling scenario exactly at certain values of the parameters.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - JOUR AU - M.A. Jafarizadeh AU - S. Behnia PY - 2002 DA - 2002/02 TI - Hierarchy of Chaotic Maps with an Invariant Measure and their Compositions JO - Journal of Nonlinear Mathematical Physics SP - 26 EP - 41 VL - 9 IS - 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2002.9.1.4 DO - https://doi.org/10.2991/jnmp.2002.9.1.4 ID - Jafarizadeh2002 ER -