Nonlinear parametric instability in double-well lattices
摘要
A possibility of a nonlinear resonant instability of uniform oscillations in dynamical lattices with harmonic intersite coupling and onsite nonlinearity is predicted. Numerical simulations of a lattice with a double-well onsite anharmonic potential confirm the existence of the nonlinear instability with an anomalous value of the corresponding power index, 1.57, which is intermediate between the values 1 and 2 characterizing the linear and nonlinear (quadratic) instabilities. The anomalous power index may be a result of competition between the resonant quadratic instability and nonresonant linear instabilities. The observed instability triggers transition of the lattice into a chaotic dynamical state.
引用
@article{arxiv.nlin/0106026,
title = {Nonlinear parametric instability in double-well lattices},
author = {Jaroslav Riedel and Eva Majernikova and Boris A. Malomed},
journal= {arXiv preprint arXiv:nlin/0106026},
year = {2009}
}
备注
A latex text file and three pdf files with figures. Physical Review E, in press