Emergence, Competition and Dynamical Stabilization of Dissipative Rotating Spiral Waves in.pdf
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Emergence, Competition and Dynamical Stabilization of Dissipative Rotating Spiral Waves in
EMERGENCE, COMPETITION AND DYNAMICAL STABILIZATION
OF DISSIPATIVE ROTATING SPIRAL WAVES IN AN EXCITABLE MEDIUM:
A COMPUTATIONAL MODEL BASED ON CELLULAR AUTOMATA
S. D. Makovetskiy, D. N. Makovetskii*
*Institute for Radiophysics and Electronics of the National Academy of Sciences of Ukraine,
Kharkov, Ukraine
Electronic addresses:
sdmakovetskiy@mail.ru
makov@ire.kharkov.ua
(Dated: 2008-05-03)
Abstract. In the present survey paper, we report some qualitatively new features of emergence, competition and
dynamical stabilization of dissipative rotating spiral waves (RSWs) in the cellular-automaton model of laser-like
excitable media proposed in arXiv:cond-mat/0410460v2, arXiv:cond-mat/0602345. Part of the observed features
are caused by unusual mechanism of excitation vorticity when the RSWs core gets into the surface layer of an
active medium. Instead of the well known scenario of RSW collapse, which takes place after collision of RSWs
core with absorbing boundary, we observed complicated transformations of the core leading to regeneration
(nonlinear reflection from the boundary) of the RSW or even to birth of several new RSWs in the surface
layer. Computer experiments on bottlenecked evolution of such the RSW-ensembles (vortex matter) are reported
and a possible explanation of real experiments on spin-lattice relaxation in dilute paramagnets is proposed on the
basis of an analysis of the RSWs dynamics. Chimera states in RSW-ensembles are revealed and compared with
analogous states in ensembles of nonlocally coupled oscillators. Generally, our computer experiments have
shown that vortex matter states in laser-like excitable media have some important features of aggregate states of
the usual matter.
ACM classes: F.1.1 Models of Computation (Automata), I.6 Simulation and Modeling (I.6.3 Applications),
J.2 Physical Sciences and Engineering (Chemistry, Physics)
PACS numbers: 05.65.+b, 07.05.Tp, 82.20.Wt
Key words: exci
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