Publication Date
2009
Journal or Book Title
PHYSICAL REVIEW E
Abstract
We present an experimentally realizable, simple mechanical system with linear interactions whose geometric nature leads to nontrivial, nonlinear dynamical equations. The equations of motion are derived and their ground state structures are analyzed. Selective “static” features of the model are examined in the context of nonlinear waves including rotobreathers and kinklike solitary waves. We also explore “dynamic” features of the model concerning the resonant transfer of energy and the role of moving intrinsic localized modes in the process.
Pages
-
Volume
80
Issue
4
Recommended Citation
Wang, C; Theocharis, G; Kevrekidis, PG; Whitaker, N; Law, KJH; Frantzeskakis, DJ; and Malomed, BA, "Two-dimensional paradigm for symmetry breaking: The nonlinear Schroumldinger equation with a four-well potential" (2009). PHYSICAL REVIEW E. 39.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/39
Comments
This is the pre-published version harvested from arXiv. The published version is located at http://pre.aps.org/abstract/PRE/v70/i6/e066627