Multi-site breathers in Klein--Gordon lattices: stability, resonances, and bifurcations

Details Multi-site breathers in Klein--Gordon lattices: stability, resonances, and bifurcations Multi-site breathers in Klein--Gordon lattices: stability, resonances, and bifurcations

2011-11-10

arxiv.org/abs/1111.2557v1

Nonlinear Sciences

Pattern Formation and Solitons

30 pages, 12 figures

Scientific paper

We prove the most general theorem about 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 theorem 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 change 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.

Affiliated with

Also associated with

No associations

Rating

Multi-site breathers in Klein--Gordon lattices: stability, resonances, and bifurcations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Multi-site breathers in Klein--Gordon lattices: stability, resonances, and bifurcations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multi-site breathers in Klein--Gordon lattices: stability, resonances, and bifurcations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-728010