English

Stability of Nonlinear Normal Modes in the FPU-$\beta$ Chain in the Thermodynamic Limit

Pattern Formation and Solitons 2015-06-03 v1

Abstract

All possible symmetry-determined nonlinear normal modes (also called by simple periodic orbits, one-mode solutions etc.) in both hard and soft Fermi-Pasta-Ulam-β\beta chains are discussed. A general method for studying their stability in the thermodynamic limit, as well as its application for each of the above nonlinear normal modes are presented.

Keywords

Cite

@article{arxiv.1112.0399,
  title  = {Stability of Nonlinear Normal Modes in the FPU-$\beta$ Chain in the Thermodynamic Limit},
  author = {G. M. Chechin and D. S. Ryabov},
  journal= {arXiv preprint arXiv:1112.0399},
  year   = {2015}
}