2002/08/07 by M. A. Jafarizadeh, Jafarizadeh, M. A., S. Behnia +1
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #nlin.CD
paper · pdf · doi:10.48550/arxiv.nlin/0208011
31 pages, Latex
arxiv created 2002/08/07 · arxiv updated 2009/11/30
Hierarchy of one-parameter families of chaotic maps with an invariant measure have been introduced, where their appropriate coupling has lead to the generation of some coupled chaotic maps with an invariant measure. It is shown that these chaotic maps (also the coupled maps) do not undergo any period doubling or period-n-tupling cascade bifurcation to chaos, but they have either single fixed point attractor at certain values of the parameters or they are ergodic in the complementary region. Using the invariant measure or Sinai-Rulle-Bowen measure the Kolmogrov-Sinai entropy of the chaotic maps (coupled maps) have been calculated analytically, where the numerical simulations support the results