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• W2087928584 abstract "We prove a general criterion of spectral stability of multi-site breathers in the discrete Klein–Gordon equation with a small coupling constant. In the anti-continuum limit, multi-site breathers represent excited oscillations at different sites of the lattice separated by a number of 'holes' (sites at rest). The criterion describes how the stability or instability of a multi-site breather depends on the phase difference and distance between the excited oscillators. Previously, only multi-site breathers with adjacent excited sites were considered within the first-order perturbation theory. We show that the stability of multi-site breathers with one-site holes changes for large-amplitude oscillations in soft nonlinear potentials. We also discover and study a symmetry-breaking (pitchfork) bifurcation of one-site and multi-site breathers in soft quartic potentials near the points of 1 : 3 resonance." @default.
• W2087928584 created "2016-06-24" @default.
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• W2087928584 date "2012-11-02" @default.
• W2087928584 modified "2023-10-03" @default.
• W2087928584 title "Multi-site breathers in Klein–Gordon lattices: stability, resonances and bifurcations" @default.
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• W2087928584 doi "https://doi.org/10.1088/0951-7715/25/12/3423" @default.
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