Phase Transitions and Their Bifurcation Analysis in a Large Population of Active Rotators with Mean-Field Coupling

Open Access

1 March 1988

journal article
Published by Oxford University Press (OUP) in Progress of Theoretical Physics

Vol. 79 (3) , 600-607
https://doi.org/10.1143/ptp.79.600

Abstract

Bifurcation structures associated with the onset of macroscopic rhythms in a large population of active rotators are analyzed theoretically and numerically. The phase transition involving hysteresis found numerically in a previous work are investigated in greater detail with particular attention to codimension-two bifurcation points. As a result, unexpectedly rich bifurcation structures are revealed.

Keywords

PHASE TRANSITION
HYSTERESIS
ACTIVE ROTATORS
BIFURCATION STRUCTURES
BIFURCATION ANALYSIS
LARGE POPULATION
POPULATION OF ACTIVE
FOUND NUMERICALLY

This publication has 1 reference indexed in Scilit:

LECTURES ON BIFURCATIONS IN VERSAL FAMILIES
Russian Mathematical Surveys, 1972