Driven Intrinsic Localized Modes in a Coupled Pendulum Array

Abstract

Intrinsic localized modes (ILMs), also called discrete breathers, are directly generated via modulational instability in an array of coupled pendulums. These ILMs can be stabilized over a range of driver frequencies and amplitudes. They are characterized by a pi-phase difference between their center and wings. At higher driver frequencies, these ILMs are observed to disintegrate via a pulsating instability, and the mechanism of this breather instability is investigated.

5 pages, 6 figures

References in corpus (1)

• Nonlinear response and discrete breather excitation in driven micro-mechanical cantilever arrays

Cited by in corpus (6)

• Discrete breathers in a forced-damped array of coupled pendula: Modeling, Computation and Experiment
• Intrinsic localized modes in parametrically-driven arrays of nonlinear resonators
• Multifrequency and edge breathers in the discrete sine-Gordon system via subharmonic driving: theory, computation and experiment
• Macroscopic acousto-mechanical analogy of a microbubble
• Nonlinear bandgap transmission by discrete rogue waves induced in a pendulum chain
• Supratransmission of rogue wave-like breathing solitons