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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 external periodic excitation. 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.

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Author:Oleg M. Kiselev, Nikolai Nikolaevich TarkhanovORCiDGND
ISSN:0960-0779 (print)
ISSN:1873-2887 (online)
Parent Title (English):Chaos, solitons & fractals : applications in science and engineering ; an interdisciplinary journal of nonlinear science
Place of publication:Oxford
Document Type:Article
Year of first Publication:2014
Year of Completion:2014
Release Date:2017/03/27
First Page:27
Last Page:39
Funder:Russian Foundation for Basic Research [11-01-91330]; German Research Society [TA 289/4-2]
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Peer Review:Referiert