A Rich Example of Geometrically Induced Nonlinearity: From Rotobreathers and Kinks to Moving Localized Modes and Resonant Energy Transfer

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 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.

References in corpus (5)

• Thermal conduction in classical low-dimensional lattices
• Discrete Breathers
• Curvature-induced symmetry breaking in nonlinear Schrodinger models
• Interaction of a Discrete Breather with a Lattice Junction
• A discrete nonlinear model with substrate feedback

Cited by in corpus (7)

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• Discrete breathers assist energy transfer to ac driven nonlinear chains
• Dynamics of nonlinear excitations of helically confined charges
• Interaction of phonons with discrete breather in strained graphene
• Solitons in one-dimensional mechanical linkage
• Rotobreathers in a chain of coupled elastic rotators
• Generalized continuum models for analysis of one-dimensional shear deformations in a structural interface with micro-rotations