Title :
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.
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;
Conference_Titel :
Foundations of Computational Intelligence, 2007. FOCI 2007. IEEE Symposium on
Conference_Location :
Honolulu, HI
Print_ISBN :
1-4244-0703-6
DOI :
10.1109/FOCI.2007.372154
