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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 137, Number 1, Pages 59–65
DOI: https://doi.org/10.4213/tmf245 (Mi tmf245) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Interaction of Moving Localized Oscillations with a Local Inhomogeneity in Nonlinear Hamiltonian Klein–Gordon Lattices

J. Cuevas, F. Palmero, J. Archilla, F. R. Romero

University of Seville
Full-text PDF (203 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf245
Abstract: We study the interaction of moving localized oscillations with a local inhomogeneity in a discrete nonlinear Hamiltonian system. We conjecture that resonance with a static nonlinear localized oscillation centered at the local inhomogeneity is a necessary condition for observing the trapping phenomenon. Analytic calculations and numerical simulations agree well with our hypothesis.
Keywords: discrete breathers, mobile breathers, intrinsic localized modes, impurities, inhomogeneity.
English version:
Theoretical and Mathematical Physics, 2003, Volume 137, Issue 1, Pages 1406–1411
DOI: https://doi.org/10.1023/A:1026048521794
Bibliographic databases:
Language: Russian
Citation: J. Cuevas, F. Palmero, J. Archilla, F. R. Romero, “Interaction of Moving Localized Oscillations with a Local Inhomogeneity in Nonlinear Hamiltonian Klein–Gordon Lattices”, TMF, 137:1 (2003), 59–65; Theoret. and Math. Phys., 137:1 (2003), 1406–1411
Citation in format AMSBIB
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\paper Interaction of Moving Localized Oscillations with a Local Inhomogeneity in Nonlinear Hamiltonian Klein--Gordon Lattices
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\pages 59--65
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\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 137
\issue 1
\pages 1406--1411
\crossref{https://doi.org/10.1023/A:1026048521794}
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  • https://www.mathnet.ru/eng/tmf/v137/i1/p59
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :189
    References:33
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