A series of recent model studies and experiments has shown that a
variety of different spiral waves can form in two-dimensional complex
oscillatory media. It is found that `line-defects' -- dynamic defects
having shapes of line -- underlie the morphologies and temporal
evolutions of these waves. In this talk, I will review various
instabilities associated with the line-defects based on model studies
(using Williamowski-R\"ossler reaction-diffusion system) as well as
experiments on a Belousov-Zhabotinsky reaction-diffusion system.
Discussions will be focused on 1) emergence of a period-2 (P-2) spiral
wave, 2) meandering of the line-defect associated with a P-2 spiral
wave, 3) transverse instability of a line-defect and line-defect
mediated spatio-temporal chaos, and 4) complex wave dynamics in an
in-vitro cardiac system.
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