scholarly journals Waves spontaneously generated by heterogeneity in oscillatory media

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Xiaohua Cui ◽  
Xiaodong Huang ◽  
Gang Hu
Keyword(s):  
Oscillatory Media

Patterns formed by spiral pairs in oscillatory media

2000 ◽  
Vol 63 (1) ◽  
Author(s):  
S. Komineas ◽  
F. Heilmann ◽  
L. Kramer
Keyword(s):  
Oscillatory Media

Spontaneous spiral formation in two-dimensional oscillatory media

1999 ◽  
Vol 60 (2) ◽  
pp. 1512-1515 ◽  
Author(s):  
Petteri Kettunen ◽  
Takashi Amemiya ◽  
Takao Ohmori ◽  
Tomohiko Yamaguchi
Keyword(s):  
Two Dimensional ◽  
Oscillatory Media

Formation of asymmetric states of spiral waves in oscillatory media

1993 ◽  
Vol 48 (1) ◽  
pp. R9-R12 ◽  
Author(s):  
Igor S. Aranson ◽  
Lorenz Kramer ◽  
Andreas Weber
Keyword(s):  
Spiral Waves ◽  
Oscillatory Media

PATTERN FORMATION IN SMALL ARRAYS OF LOCALLY COUPLED OSCILLATORS

2005 ◽  
Vol 15 (07) ◽  
pp. 2283-2293 ◽  
Author(s):  
REBECCA ELLISON ◽  
VIRGINIA GARDNER ◽  
JOEL LEPAK ◽  
MEGHAN O'MALLEY ◽  
JOSEPH PAULLET ◽  
...  
Keyword(s):  
Pattern Formation ◽  
Landau Equation ◽  
Current Model ◽  
Relaxation Oscillation ◽  
Chaotic Regime ◽  
Phase Oscillators ◽  
Ginzburg Landau ◽  
Brusselator Model ◽  
Small Domain ◽  
Oscillatory Media

We investigate small two-dimensional arrays of locally coupled phase oscillators which are shown to exhibit a surprising variety of stable structures which include: single spiral waves, spiral pairs and spirals with secondary periodic core motion. This periodic core motion is not the core meander familiar to many models of active media, but is in fact induced by the boundary of the small domain. Such boundary motion was investigated by Sepulchre and Babloyantz [1993] for the complex Ginzburg–Landau equation and for the Brusselator model in a relaxation oscillation parameter regime. The current model confirms the findings in [Sepulchre & Babloyantz, 1993] and sheds new light on the origin of such motion. The model also exhibits other patterns, as well as a chaotic regime. We discuss the transition between patterns as the form of the coupling is changed as well as implications for pattern formation in general oscillatory media.

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