Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2004-12-21
Nonlinear Sciences
Exactly Solvable and Integrable Systems
Scientific paper
10.1103/PhysRevE.70.066627
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 kink-like 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.
Aifantis Elias C.
Bishop Alan R.
Dmitriev Sergey V.
Kevrekidis Panagiotis G.
Takeno Setsuo
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