Stochastic phase transition operator

Yamanobe, Takanobu

Physical Review E, 2011, 84(1), 011924

Permalink : https://hdl.handle.net/2115/46957

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アクセス権	open access
URI	https://hdl.handle.net/2115/46957
タイトル	Stochastic phase transition operator
著者	e-Rad_Researcher 00322800 著者名 Yamanobe, Takanobu
言語	英語
発行日	2011-07
出版者	American Physical Society
収録物名	Physical Review E
巻(号)	84(1)
ページ	011924
抄録	In this study a Markov operator is introduced that represents the density evolution of an impulse-driven stochastic biological oscillator. The operator's stochastic kernel is constructed using the asymptotic expansion of stochastic processes instead of solving the Fokker-Planck equation. The Markov operator is shown to successfully approximate the density evolution of the biological oscillator considered. The response of the oscillator to both periodic and time-varying impulses can be analyzed using the operator's transient and stationary properties. Furthermore, an unreported stochastic dynamic bifurcation for the biological oscillator is obtained by using the eigenvalues of the product of the Markov operators.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record
権利情報	©2011 American Physical Society
PISSN	1539-3755
関連情報	PMID 21867230
関連情報 (isIdenticalTo)	出版社版DOI https://doi.org/10.1103/PhysRevE.84.011924