Nonequilibrium phase transitions in stochastic systems with and without time delay: controlling various attractors with noise

Author

Shiino, Masatoshi ; Doi, Kyoko

Author_Institution

Dept. of Appl. Phys., Tokyo Inst. of Technol.

fYear

2007

fDate

1-5 April 2007

Firstpage

100

Lastpage

105

Abstract

Statistical behavior of ensembles of nonlinearly coupled elements driven by external noise is studied on the basis of nonlinear Fokker-Planck equations. The models incorporate two kinds of noise, the Langevin noise and the colored noise introduced in the coupling strength, and time delays. Various types of nonequilibrium phase transitions including Hopf bifurcations and transitions between limit cycle and chaos are shown to occur as the noise level is changed.

Keywords

Fokker-Planck equation; bifurcation; chaos; delays; limit cycles; nonlinear equations; statistical analysis; stochastic systems; Hopf bifurcations; Langevin noise; attractor control; colored noise; coupling strength; ensemble statistical behavior; external noise; limit cycle; nonequilibrium phase transitions; nonlinear Fokker-Planck equations; nonlinearly coupled elements; stochastic systems; time delay; Bifurcation; Chaos; Colored noise; Control systems; Couplings; Delay effects; Limit-cycles; Nonlinear equations; Phase noise; Stochastic systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Foundations of Computational Intelligence, 2007. FOCI 2007. IEEE Symposium on

Conference_Location

Honolulu, HI

Print_ISBN

1-4244-0703-6

Type

conf

DOI

10.1109/FOCI.2007.372154

Filename

4233892