Swing, release, and escape mechanisms contribute to the generation of phase-locked cluster patterns in a globally coupled FitzHugh-Nagumo model.
We investigate the mechanism of generation of phase-locked cluster patterns in a globally coupled FitzhHugh-Nagumo model where the fast variable (activator) receives global feedback from the slow variable (inhibitor). We identify three qualitatively different mechanisms (swing-and-release, hold-and-release, and escape-and-release) that contribute to the generation of these patterns. We describe these mechanisms and use this framework to explain under what circumstances two initially out-of-phase oscillatory clusters reach steady phase-locked and in-phase synchronized solutions, and how the phase difference between these steady state cluster patterns depends on the clusters relative size, the global coupling intensity, and other model parameters.
Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, New Jersey 07102, USA. horacio@njit.edu
Horacio G
HG
Rotstein
Hui
H
Wu
D000465:Algorithms; D001671:Biochemistry / Q000379:methods; D001703:Biophysics / Q000379:methods*; D001959:Bromates / Q000737:chemistry; D002384:Catalysis; D016000:Cluster Analysis; D008314:Malonates / Q000737:chemistry; D015233:Models, Statistical; D009991:Oscillometry; D010777:Photochemistry / Q000379:methods*; D013997:Time Factors
D001959:Bromates; D008314:Malonates; C030290:malonic acid