Matches in SemOpenAlex for { <https://semopenalex.org/work/W3030237029> ?p ?o ?g. }
- W3030237029 abstract "We develop a theory of collective phase description for globally coupled noisy excitable elements exhibiting macroscopic oscillations. Collective phase equations describing macroscopic rhythms of the system are derived from Langevin-type equations of globally coupled active rotators via a nonlinear Fokker-Planck equation. The theory is an extension of the conventional phase reduction method for ordinary limit cycles to limit-cycle solutions in infinite-dimensional dynamical systems, such as the time-periodic solutions to nonlinear Fokker-Planck equations representing macroscopic rhythms. We demonstrate that the type of the collective phase sensitivity function near the onset of collective oscillations crucially depends on the type of the bifurcation, namely, it is type-I for the saddle-node bifurcation and type-II for the Hopf bifurcation." @default.
- W3030237029 created "2020-06-05" @default.
- W3030237029 creator A5054911802 @default.
- W3030237029 date "2017-03-31" @default.
- W3030237029 modified "2023-10-16" @default.
- W3030237029 title "Collective phase reduction of globally coupled noisy dynamical elements" @default.
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- W3030237029 doi "https://doi.org/10.1103/physreve.95.032225" @default.
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