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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
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.
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
Linking options:
https://www.mathnet.ru/eng/tmf245https://doi.org/10.4213/tmf245 https://www.mathnet.ru/eng/tmf/v137/i1/p59
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