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

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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.

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Authors and Affiliations

  1. ETS Ingeniería Informática, Universidad de Sevilla, Avda Reina Mercedes s/n, 41012, Seville, Spain

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

  2. Facultad de Física, Universidad de Sevilla, Avda Reina Mercedes s/n, 41012, Seville, Spain

    F. R. Romero

Authors
  1. J. Cuevas
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  2. F. Palmero
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  3. J. F. R. Archilla
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  4. F. R. Romero
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Cuevas, J., Palmero, F., Archilla, J.F.R. et al. Interaction of Moving Localized Oscillations with a Local Inhomogeneity in Nonlinear Hamiltonian Klein–Gordon Lattices. Theoretical and Mathematical Physics 137, 1406–1411 (2003). https://doi.org/10.1023/A:1026048521794

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  • DOI: https://doi.org/10.1023/A:1026048521794

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