The capture of a particle into resonance at potential hole with dissipative perturbation

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We study the capture of a particle into resonance at a potential hole with dissipative perturbation and periodic outside force. The measure of resonance solutions is evaluated. We also derive an asymptotic formula for the parameter range of those solutions which are captured into resonance.

Metadaten
Author details:	Oleg Kiselev, Nikolai Nikolaevich Tarkhanov ORCiD GND
URN:	urn:nbn:de:kobv:517-opus-64725
ISSN:	2193-6943
Publication series (Volume number):	Preprints des Instituts für Mathematik der Universität Potsdam (2 (2013) 9)
Publication type:	Preprint
Language:	English
Publication year:	2013
Publishing institution:	Universität Potsdam
Release date:	2013/03/14
Tag:	Capture into resonance; matching of asymptotic expansions; small parameter
Organizational units:	Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
DDC classification:	5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Collection(s):	Universität Potsdam / Schriftenreihen / Preprints des Instituts für Mathematik der Universität Potsdam, ISSN 2193-6943 / 2013
License (German):	Keine öffentliche Lizenz: Unter Urheberrechtsschutz
External remark:	RVK-Klassifikation: SI 990