Type-II intermittency in a class of two coupled one-dimensional maps

J. Laugesen, E. Mosekilde, T. Bountis, S. P. Kuznetsov
2000 Discrete Dynamics in Nature and Society  
The paper shows how intermittency behavior of type-II can arise from the coupling of two one-dimensional maps, each exhibiting type-III intermittency. This change in dynamics occurs through the replacement of a subcritical period-doubling bifurcation in the individual map by a subcritical Hopf bifurcation in the coupled system. A variety of different parameter combinations are considered, and the statistics for the distribution of laminar phases is worked out. The results comply well with
more » ... tical predictions. Provided that the reinjection process is reasonably uniform in two dimensions, the transition to type-II intermittency leads directly to higher order chaos. Hence, this transition represents a universal route to hyperchaos.
doi:10.1155/s1026022600000558 fatcat:vqp3yuzhjfgoxktmxsgjkp42o4