Summary
International Symposium on Nonlinear Theory and its Applications
2010
Session Number:C2L-D
Session:
Number:C2L-D1
Exponential Transient Oscillations and Standing Pulses in Rings of Coupled Symmetric Bistable Maps
Yo Horikawa,
pp.561-564
Publication Date:2010/9/5
Online ISSN:2188-5079
Summary:
The author studies transient states the duration of which increases exponentially with system size (exponential transients) in rings of coupled symmetric bistable maps. When coupling is unidirectional (one-way coupling), transient oscillations rotating in a ring of maps exist. When coupling is bidirectional (two-way coupling), transient pulse patterns exist. In both coupling the duration of transient states on the way to spatially homogeneous steady states increases exponentially with the number of elements. Further, the duration of transient states occurring from random initial states is distributed in a power law form.