Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2002-08-15
Nonlinear Sciences
Chaotic Dynamics
14 pages, Latex
Scientific paper
10.1016/S0375-9601(03)00343-8
We present hierarchy of one and many-parameter families of elliptic chaotic maps of cn and sn types at the interval [0,1]. It is proved that for small values of k the parameter of the elliptic function, these maps are topologically conjugate to the maps of references [1,2], where using this we have been able to obtain the invariant measure of these maps for small k and thereof it is shown that these maps have the same Kolmogorov-Sinai entropy or equivalently Lyapunov characteristic exponent of the maps of references [1,2]}. As this parameter vanishes, the maps are reduced to the maps presented in above-mentioned reference. Also in contrary to the usual family of one-parameter maps, such as the logistic and tent maps, these maps do not display period doubling or period-n-tupling cascade transition to chaos, but they have single fixed point attractor at certain parameter values where they bifurcate directly to chaos without having period-n-tupling scenario exactly at these values of parameters whose Lyapunov characteristic exponent begin to be positive.
Behnia Sohrab
Jafarizadeh Mohammad Ali
No associations
LandOfFree
Hierarchy of one and many-parameter families of elliptic chaotic maps of cn and sn types 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 Hierarchy of one and many-parameter families of elliptic chaotic maps of cn and sn types, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hierarchy of one and many-parameter families of elliptic chaotic maps of cn and sn types will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-189569