Open AccessU-SEQUENCE OF PERIODIC SOLUTIONS IN THE FORCED BRUSSELATOR
Author(s) -
Guangrui Wang,
Shuyu Zhang,
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.33.1008
Subject(s) - brusselator , parameter space , sequence (biology) , simple (philosophy) , bifurcation , symbolic dynamics , order (exchange) , space (punctuation) , spectrum (functional analysis) , statistical physics , mathematics , computer science , mathematical analysis , pure mathematics , nonlinear system , physics , geometry , philosophy , epistemology , finance , quantum mechanics , biology , economics , genetics , operating system
Detailed numerical study shows that along certain directions in the parameter space the periodicity of the forced Brusselator appears in the same order as that in one-dimensional nuimodal mappings, i.e. in accordance with the U-sequence of Metropolis, stein and Stein. We find a simple method to assign words from a symbolic dynamics of two letters to periods in the model. Our results show the neccesity to enlarge the parameter space in similar research ia order to have a global picture of the bifurcation and chaos "spectrum".