U-SEQUENCE OF PERIODIC SOLUTIONS IN THE FORCED BRUSSELATOR | Zendy

Wang Guang-Rui | Zendy; Shuyu Zhang | Zendy; Bailin Hao | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

U-SEQUENCE OF PERIODIC SOLUTIONS IN THE FORCED BRUSSELATOR

Author(s) -

Wang Guang-Rui,

Shuyu Zhang,

Bailin Hao

Publication year - 1984

Publication title -

acta physica sinica

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".

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research