The capture of a particle into resonance at potential hole with dissipative perturbation
- 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.
Author details: | Oleg Kiselev, Nikolai Nikolaevich TarkhanovORCiDGND |
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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 |