Open AccessThe dynamics of spiral waves in three-layer excitable medium with circular feedback coupling
Author(s) -
Li Guang-Zhao,
Yong-Qi Chen,
Tang Guo-Ning
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.020502
Subject(s) - spiral (railway) , coupling (piping) , physics , coupling strength , turbulence , synchronization (alternating current) , mechanics , spiral wave , classical mechanics , dynamics (music) , acoustics , telecommunications , mathematical analysis , computer science , condensed matter physics , mathematics , materials science , metallurgy , channel (broadcasting)
The dynamics of spiral wave in a three-layer excitable medium with circular feedback coupling is studied, based on the Bär model. The numerical results show that the drifting or meandering of spiral waves in the subsystems can be observed when the coupling strength is small. When the coupling strength is slightly big, the interaction between subsystems may cause spiral waves in some subsystems to move out of the boundaries of the subsystems. The subsystems return to rest state. In addition, the interaction may generate the transition from spiral wave state to target wave or turbulence states in some subsystems. The phenomenon that the asymptotic state of a subsystem depends on the initiation condition is observed. With the further increase of the coupling strength, the approximate generalized synchronization of the spiral waves in three subsystems is established. When the coupling strength is bigger, the spiral waves evolve into turbulence.