Nonlinear energy channeling in the two-dimensional, locally resonant, unit-cell model. I. High energy pulsations and routes to energy localization

DOI10.1063/1.4922964zbMath1374.70057OpenAlexW1553092139WikidataQ51825606 ScholiaQ51825606MaRDI QIDQ4591682

K. Vorotnikov, Yuli Starosvetsky

Publication date: 17 November 2017

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4922964

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Nonlinear resonances for nonlinear problems in mechanics (70K30)

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Cites Work

• Unnamed Item
• Unnamed Item
• Non-smooth approximations of the limiting phase trajectories for the Duffing oscillator near \(1:1\) resonance
• New approach to beating phenomenon in coupled nonlinear oscillatory chains
• Nonlinear targeted energy transfer in mechanical and structural systems. 2 Vols.
• Pulse propagation in a linear and nonlinear diatomic periodic chain: effects of acoustic frequency band-gap
• Alternation of regular and chaotic dynamics in a simple two-degree-of-freedom system with nonlinear inertial coupling
• Nonlinear energy channeling in the two-dimensional, locally resonant, unit-cell model. II. Low energy excitations and unidirectional energy transport