Long Time Behavior and Global Dynamics of Simplified Von Karman Plate Without Rotational Inertia Driven by White Noise

Without the assumption that the coefficient of weak damping is large enough, the existence of the global random attractors for simplified Von Karman plate without rotational inertia driven by either additive white noise or multiplicative white noise are proved. Instead of the classical splitting met...
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Autor*in:	Huatao Chen [verfasserIn] Dengqing Cao [verfasserIn] Jingfei Jiang [verfasserIn] Xiaoming Fan [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2018

Schlagwörter:	Simplified clamped Von Karman plate without rotational inertia global random attractors global dynamics random invariant measure white noise

Übergeordnetes Werk:	In: Symmetry - MDPI AG, 2009, 10(2018), 8, p 315
Übergeordnetes Werk:	volume:10 ; year:2018 ; number:8, p 315

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/sym10080315

Katalog-ID:	DOAJ032583788

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language	English
source	In Symmetry 10(2018), 8, p 315 volume:10 year:2018 number:8, p 315
sourceStr	In Symmetry 10(2018), 8, p 315 volume:10 year:2018 number:8, p 315
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Simplified clamped Von Karman plate without rotational inertia global random attractors global dynamics random invariant measure white noise Mathematics
isfreeaccess_bool	true
container_title	Symmetry
authorswithroles_txt_mv	Huatao Chen @@aut@@ Dengqing Cao @@aut@@ Jingfei Jiang @@aut@@ Xiaoming Fan @@aut@@
publishDateDaySort_date	2018-01-01T00:00:00Z
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id	DOAJ032583788
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callnumber-first	Q - Science
author	Huatao Chen
spellingShingle	Huatao Chen misc QA1-939 misc Simplified clamped Von Karman plate without rotational inertia misc global random attractors misc global dynamics misc random invariant measure misc white noise misc Mathematics Long Time Behavior and Global Dynamics of Simplified Von Karman Plate Without Rotational Inertia Driven by White Noise
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topic_title	QA1-939 Long Time Behavior and Global Dynamics of Simplified Von Karman Plate Without Rotational Inertia Driven by White Noise Simplified clamped Von Karman plate without rotational inertia global random attractors global dynamics random invariant measure white noise
topic	misc QA1-939 misc Simplified clamped Von Karman plate without rotational inertia misc global random attractors misc global dynamics misc random invariant measure misc white noise misc Mathematics
topic_unstemmed	misc QA1-939 misc Simplified clamped Von Karman plate without rotational inertia misc global random attractors misc global dynamics misc random invariant measure misc white noise misc Mathematics
topic_browse	misc QA1-939 misc Simplified clamped Von Karman plate without rotational inertia misc global random attractors misc global dynamics misc random invariant measure misc white noise misc Mathematics
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title	Long Time Behavior and Global Dynamics of Simplified Von Karman Plate Without Rotational Inertia Driven by White Noise
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title_full	Long Time Behavior and Global Dynamics of Simplified Von Karman Plate Without Rotational Inertia Driven by White Noise
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title_sort	long time behavior and global dynamics of simplified von karman plate without rotational inertia driven by white noise
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title_auth	Long Time Behavior and Global Dynamics of Simplified Von Karman Plate Without Rotational Inertia Driven by White Noise
abstract	Without the assumption that the coefficient of weak damping is large enough, the existence of the global random attractors for simplified Von Karman plate without rotational inertia driven by either additive white noise or multiplicative white noise are proved. Instead of the classical splitting method, the techniques to verify the asymptotic compactness rely on stabilization estimation of the system. Furthermore, a clear relationship between in-plane components of the external force that act on the edge of the plate and the expectation of radius of the global random attractors can be obtained from the theoretical results. Based on the relationship between global random attractor and random probability invariant measure, the global dynamics of the plates are analyzed numerically. With increasing the in-plane components of the external force that act on the edge of the plate, global D-bifurcation, secondary global D-bifurcation and complex local dynamical behavior occur in motion of the system. Moreover, increasing the intensity of white noise leads to the dynamical behavior becoming simple. The results on global dynamics reveal that random snap-through which seems to be a complex dynamics intuitively is essentially a simple dynamical behavior.
abstractGer	Without the assumption that the coefficient of weak damping is large enough, the existence of the global random attractors for simplified Von Karman plate without rotational inertia driven by either additive white noise or multiplicative white noise are proved. Instead of the classical splitting method, the techniques to verify the asymptotic compactness rely on stabilization estimation of the system. Furthermore, a clear relationship between in-plane components of the external force that act on the edge of the plate and the expectation of radius of the global random attractors can be obtained from the theoretical results. Based on the relationship between global random attractor and random probability invariant measure, the global dynamics of the plates are analyzed numerically. With increasing the in-plane components of the external force that act on the edge of the plate, global D-bifurcation, secondary global D-bifurcation and complex local dynamical behavior occur in motion of the system. Moreover, increasing the intensity of white noise leads to the dynamical behavior becoming simple. The results on global dynamics reveal that random snap-through which seems to be a complex dynamics intuitively is essentially a simple dynamical behavior.
abstract_unstemmed	Without the assumption that the coefficient of weak damping is large enough, the existence of the global random attractors for simplified Von Karman plate without rotational inertia driven by either additive white noise or multiplicative white noise are proved. Instead of the classical splitting method, the techniques to verify the asymptotic compactness rely on stabilization estimation of the system. Furthermore, a clear relationship between in-plane components of the external force that act on the edge of the plate and the expectation of radius of the global random attractors can be obtained from the theoretical results. Based on the relationship between global random attractor and random probability invariant measure, the global dynamics of the plates are analyzed numerically. With increasing the in-plane components of the external force that act on the edge of the plate, global D-bifurcation, secondary global D-bifurcation and complex local dynamical behavior occur in motion of the system. Moreover, increasing the intensity of white noise leads to the dynamical behavior becoming simple. The results on global dynamics reveal that random snap-through which seems to be a complex dynamics intuitively is essentially a simple dynamical behavior.
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container_issue	8, p 315
title_short	Long Time Behavior and Global Dynamics of Simplified Von Karman Plate Without Rotational Inertia Driven by White Noise
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