Open AccessTRANSITION FROM QUASIPERIODIC REGIME TO CHAOS IN THE FORCED BRUSSELATOR
Author(s) -
Guangrui Wang,
Bailin Hao
Publication year - 1984
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.33.1321
Subject(s) - quasiperiodic function , brusselator , physics , turbulence , smoothness , chaos (operating system) , parameter space , statistical physics , classical mechanics , mathematical analysis , mathematics , nonlinear system , mechanics , quantum mechanics , geometry , condensed matter physics , computer science , computer security
We have observed transitions from quasiperiodic regime to chaos in the periodically forced Brusselator. It takes place via kinking and folding of the originally smooth Poincare map which may be more generic as compared to the transition in circle mapping, where the quasiperiodic orbit looses smoothness globally. Now all the well-known "routes" to chaos have been shown to coexist in this mathematical model in different part of the parameter space. This is in agreement with experimental observations in some hydrodynamical systems where different routes to turbulence have been found in one and the same system under slightly different conditions.