Stochastic D-bifurcation for a damped sine-Gordon equation with noise

We investigate the stochastic bifurcation of a damped sine-Gordon equation with Dirichlet boundary conditions under the influence of multiplicative Gaussian white noise. Introducing a slow time scale, we derive the amplitude equations near the trivial solution by multiscale analysis. And the station...
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Autor*in:	Qiongwei Huang [verfasserIn] Changfeng Xue [verfasserIn] Jiashi Tang [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2015

Übergeordnetes Werk:	In: AIP Advances - AIP Publishing LLC, 2011, 5(2015), 4, Seite 047121-047121-6
Übergeordnetes Werk:	volume:5 ; year:2015 ; number:4 ; pages:047121-047121-6

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DOI / URN:	10.1063/1.4918302

Katalog-ID:	DOAJ075226235

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allfields	10.1063/1.4918302 doi (DE-627)DOAJ075226235 (DE-599)DOAJee90889598c749d2ae0f03ff761a3d04 DE-627 ger DE-627 rakwb eng QC1-999 Qiongwei Huang verfasserin aut Stochastic D-bifurcation for a damped sine-Gordon equation with noise 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We investigate the stochastic bifurcation of a damped sine-Gordon equation with Dirichlet boundary conditions under the influence of multiplicative Gaussian white noise. Introducing a slow time scale, we derive the amplitude equations near the trivial solution by multiscale analysis. And the stationary probability density functions are formulated analytically using the stochastic averaging of energy envelope. The numerical calculations show that the system undergoes a stochastic D-bifurcation of energy envelope from a delta measure to new stationary measures when the control parameter crosses a critical point. Physics Changfeng Xue verfasserin aut Jiashi Tang verfasserin aut In AIP Advances AIP Publishing LLC, 2011 5(2015), 4, Seite 047121-047121-6 (DE-627)641391706 (DE-600)2583909-3 21583226 nnns volume:5 year:2015 number:4 pages:047121-047121-6 https://doi.org/10.1063/1.4918302 kostenfrei https://doaj.org/article/ee90889598c749d2ae0f03ff761a3d04 kostenfrei http://dx.doi.org/10.1063/1.4918302 kostenfrei https://doaj.org/toc/2158-3226 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 5 2015 4 047121-047121-6
spelling	10.1063/1.4918302 doi (DE-627)DOAJ075226235 (DE-599)DOAJee90889598c749d2ae0f03ff761a3d04 DE-627 ger DE-627 rakwb eng QC1-999 Qiongwei Huang verfasserin aut Stochastic D-bifurcation for a damped sine-Gordon equation with noise 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We investigate the stochastic bifurcation of a damped sine-Gordon equation with Dirichlet boundary conditions under the influence of multiplicative Gaussian white noise. Introducing a slow time scale, we derive the amplitude equations near the trivial solution by multiscale analysis. And the stationary probability density functions are formulated analytically using the stochastic averaging of energy envelope. The numerical calculations show that the system undergoes a stochastic D-bifurcation of energy envelope from a delta measure to new stationary measures when the control parameter crosses a critical point. Physics Changfeng Xue verfasserin aut Jiashi Tang verfasserin aut In AIP Advances AIP Publishing LLC, 2011 5(2015), 4, Seite 047121-047121-6 (DE-627)641391706 (DE-600)2583909-3 21583226 nnns volume:5 year:2015 number:4 pages:047121-047121-6 https://doi.org/10.1063/1.4918302 kostenfrei https://doaj.org/article/ee90889598c749d2ae0f03ff761a3d04 kostenfrei http://dx.doi.org/10.1063/1.4918302 kostenfrei https://doaj.org/toc/2158-3226 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 5 2015 4 047121-047121-6
allfields_unstemmed	10.1063/1.4918302 doi (DE-627)DOAJ075226235 (DE-599)DOAJee90889598c749d2ae0f03ff761a3d04 DE-627 ger DE-627 rakwb eng QC1-999 Qiongwei Huang verfasserin aut Stochastic D-bifurcation for a damped sine-Gordon equation with noise 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We investigate the stochastic bifurcation of a damped sine-Gordon equation with Dirichlet boundary conditions under the influence of multiplicative Gaussian white noise. Introducing a slow time scale, we derive the amplitude equations near the trivial solution by multiscale analysis. And the stationary probability density functions are formulated analytically using the stochastic averaging of energy envelope. The numerical calculations show that the system undergoes a stochastic D-bifurcation of energy envelope from a delta measure to new stationary measures when the control parameter crosses a critical point. Physics Changfeng Xue verfasserin aut Jiashi Tang verfasserin aut In AIP Advances AIP Publishing LLC, 2011 5(2015), 4, Seite 047121-047121-6 (DE-627)641391706 (DE-600)2583909-3 21583226 nnns volume:5 year:2015 number:4 pages:047121-047121-6 https://doi.org/10.1063/1.4918302 kostenfrei https://doaj.org/article/ee90889598c749d2ae0f03ff761a3d04 kostenfrei http://dx.doi.org/10.1063/1.4918302 kostenfrei https://doaj.org/toc/2158-3226 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 5 2015 4 047121-047121-6
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author	Qiongwei Huang
spellingShingle	Qiongwei Huang misc QC1-999 misc Physics Stochastic D-bifurcation for a damped sine-Gordon equation with noise
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topic_title	QC1-999 Stochastic D-bifurcation for a damped sine-Gordon equation with noise
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title	Stochastic D-bifurcation for a damped sine-Gordon equation with noise
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title_full	Stochastic D-bifurcation for a damped sine-Gordon equation with noise
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title_sort	stochastic d-bifurcation for a damped sine-gordon equation with noise
callnumber	QC1-999
title_auth	Stochastic D-bifurcation for a damped sine-Gordon equation with noise
abstract	We investigate the stochastic bifurcation of a damped sine-Gordon equation with Dirichlet boundary conditions under the influence of multiplicative Gaussian white noise. Introducing a slow time scale, we derive the amplitude equations near the trivial solution by multiscale analysis. And the stationary probability density functions are formulated analytically using the stochastic averaging of energy envelope. The numerical calculations show that the system undergoes a stochastic D-bifurcation of energy envelope from a delta measure to new stationary measures when the control parameter crosses a critical point.
abstractGer	We investigate the stochastic bifurcation of a damped sine-Gordon equation with Dirichlet boundary conditions under the influence of multiplicative Gaussian white noise. Introducing a slow time scale, we derive the amplitude equations near the trivial solution by multiscale analysis. And the stationary probability density functions are formulated analytically using the stochastic averaging of energy envelope. The numerical calculations show that the system undergoes a stochastic D-bifurcation of energy envelope from a delta measure to new stationary measures when the control parameter crosses a critical point.
abstract_unstemmed	We investigate the stochastic bifurcation of a damped sine-Gordon equation with Dirichlet boundary conditions under the influence of multiplicative Gaussian white noise. Introducing a slow time scale, we derive the amplitude equations near the trivial solution by multiscale analysis. And the stationary probability density functions are formulated analytically using the stochastic averaging of energy envelope. The numerical calculations show that the system undergoes a stochastic D-bifurcation of energy envelope from a delta measure to new stationary measures when the control parameter crosses a critical point.
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title_short	Stochastic D-bifurcation for a damped sine-Gordon equation with noise
url	https://doi.org/10.1063/1.4918302 https://doaj.org/article/ee90889598c749d2ae0f03ff761a3d04 http://dx.doi.org/10.1063/1.4918302 https://doaj.org/toc/2158-3226
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up_date	2024-07-03T13:43:00.879Z
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