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Spiral waves in bio‐inspired oscillatory dissipative media
Author(s) -
Corinto Fernando,
Lanza Valentina,
Gilli Marco
Publication year - 2008
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.506
Subject(s) - dissipative system , spiral (railway) , physics , spiral wave , classical mechanics , harmonic , harmonic balance , mathematical analysis , mechanics , acoustics , mathematics , nonlinear system , quantum mechanics
Spiral waves are the most universal form of patterns arising in dissipative media of oscillatory and excitable nature. By focusing on oscillatory networks, whose cells admit of a Lur'e description and are linearly connected through weak couplings, the occurrence of spiral waves has been studied. In particular, the global dynamic behavior of such networks is investigated through the phase deviation equation obtained by the joint application of the harmonic balance method and Malkin's theorem. Furthermore, a simple condition for verifying the occurrence of spiral waves is provided. Copyright © 2008 John Wiley & Sons, Ltd.