Open AccessNonequilibrium Phenomena in Globally Coupled Active Rotators with Multiplicative and Additive Noises
Author(s) -
Kim Seunghwan,
Park Seon Hee,
Ryu Chang Su
Publication year - 1996
Publication title -
etri journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.295
H-Index - 46
eISSN - 2233-7326
pISSN - 1225-6463
DOI - 10.4218/etrij.96.0196.0033
Subject(s) - multiplicative noise , bifurcation , multiplicative function , cluster (spacecraft) , noise (video) , phase (matter) , phase transition , non equilibrium thermodynamics , statistical physics , physics , mathematics , topology (electrical circuits) , control theory (sociology) , condensed matter physics , mathematical analysis , engineering , computer science , quantum mechanics , telecommunications , combinatorics , signal transfer function , nonlinear system , transmission (telecommunications) , artificial intelligence , analog signal , image (mathematics) , programming language , control (management)
We investigate noise‐induced phase transitions in globally coupled active rotators with multiplicative and additive noises. In the system there are four phases, stationary one‐cluster, stationary two‐cluster, moving one‐cluster, and moving two‐cluster phases. It is shown that multiplicative noise induces a bifurcation from one‐cluster phase to two‐cluster phase. Pinning force also induces a bifurcation from moving phase to stationary phase suppressing the multiplicative noise effect. Additive noise reduces both effects of multiplicative noise and pinning force urging the system to the stationary one‐cluster phase. The frustrated effects of pinning force and additive and multiplicative noises lead to a reentrant transition at intermediate additive noise intensity. Nature of the transition is also discussed.