Open AccessStudy on phase synchronization of chaotic oscillators with many rotational centers based on amplitude coupling
Author(s) -
Mo Xiao-Hua,
Tang Guo-Ning
Publication year - 2004
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.53.2080
Subject(s) - amplitude , synchronization (alternating current) , coupling (piping) , phase (matter) , phase synchronization , physics , chaotic , computer science , quantum mechanics , materials science , telecommunications , channel (broadcasting) , artificial intelligence , metallurgy
In order to find some relation between phase synchronization and dynamical topological variation in chaotic systems with many rotational centers,we propose a method of linear amplitude coupling to study the phase synchronization of Lorenz system and Duffing system.First,we convert the original Lorenz system and Duffing system into the dynamics of amplitude and phase.Based on linear amplitude coupling,we calculate the average winding number and Lyapunov exponents.We find that the phase synchronization comes along with the transition of Lyapunov exponents by increasing coupling strength.The results obtained indicate that phase synchronization is definitely related to dynamical topological variation in chaotic systems with many rotational centers.