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The hysteresis limit in relaxation oscillation problems

SYSNO ASEP	0030255
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Ostatní články
Title	The hysteresis limit in relaxation oscillation problems
Title	Hysteresní limita v úlohách o relaxačních kmitech
Author(s)	Krejčí, Pavel (MU-W)_{RID, SAI, ORCID}
Source Title	Journal of Physics: Conference Series. - : Institute of Physics Publishing - ISSN 1742-6588 Roč. 22, - (2005), s. 103-123
Number of pages	21 s.
Action	International Workshop on Hysteresis & Multi-scale Asymptotic
Event date	17.3.2004-21.3.2004
VEvent location	Cork
Country	IE - Ireland
Event type	WRD
Language	eng - English
Country	US - United States
Keywords	Helly principle ; differential equation
Subject RIV	BA - General Mathematics
CEZ	AV0Z1019905 - MU-W
Annotation	A singularly perturbed differential equation with a small coefficient multiplying the derivative is shown to exhibit a limiting hysteresis behavior as the singular parameter tends to zero. The convergence takes place in the space of left-continuous regulated functions and is related to the generalized Helly selection principle for regulated functions established by Fraňková. Examples show that convergence cannot be expected in general if no regularity is assumed either for the forcing term or for the equilibrium set.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2006

Number of the records: 1