Dynamics of bound states of same-chirality spiral waves.
We describe the dynamics of bound states of same-chirality spirals in a generic numerical model of an excitable medium. For each bound state, we analyze its tip trajectory patterns and determine its characteristic frequencies. We report two previously unidentified bound states: for spiral pairs, a state that exhibits alternating cycles of small and large distances between collisions (A2); for triplets, the first example of a meandering bound state (M3). In parameter space, A2 lies in between the previously described oscillating pairs (O2) and master-slave pairs (MS). We present numerical evidence that the transition O2-->A2 occurs via a supercritical period-doubling bifurcation, while the transition A2-->MS occurs via a symmetry breaking secondary Hopf bifurcation. A classification of all regimes according to dynamical systems theory exposes the wealth of phenomena exhibited by multiarmed spiral waves.
Zemlin
Christian W
CW
Department of Pharmacology, SUNY Upstate Medical University, Syracuse, NY 13210, USA.
Mukund
Karthik
K
Biktashev
Vadim N
VN
Pertsov
Arkady M
AM
D008962:Models, Theoretical; D017711:Nonlinear Dynamics