TITLE

Bicritical behavior in unidirectionally coupled systems

AUTHOR(S)
Lim, Woochang; Kim, Sang-Yoon
PUB. DATE
February 2000
SOURCE
AIP Conference Proceedings;2000, Vol. 501 Issue 1, p317
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We study the scaling behavior of period doublings in two unidirectionally coupled one-dimensional maps near a bicritical point where two critical lines of period-doubling transition to chaos in both subsystems meet. Note that the bicritical point corresponds to a border of chaos in both subsystems. For this bicritical case, the second response subsystem exhibits a new type of non-Feigenbaum critical behavior, while the first drive subsystem is in the Feigenbaum critical state. In order to make an analysis of the bicritical behavior, we develop a new version of the renormalization group method based on the eigenvalue matching, and obtain the bicritical point, the parameter and orbital scaling factors with remarkably high numerical precision. These scaling results obtained in the abstract system are also confirmed in the real system of two parametrically forced pendulums with a one-way coupling. © 2000 American Institute of Physics.
ACCESSION #
6028296

 

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