Nonlinear energy channeling in the two-dimensional, locally resonant, unit-cell model. II. Low energy excitations and unidirectional energy transport

DOI10.1063/1.4922965zbMath1374.70058OpenAlexW2135256418WikidataQ51825603 ScholiaQ51825603MaRDI QIDQ4591683

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/10.1063/1.4922965

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)

Related Items (4)

Emergence of non-stationary regimes in one- and two-dimensional models with internal rotators ⋮ Analytic methods to find beating transitions of asymmetric Gaussian beams in GNLS equations ⋮ Nonlinear energy channeling in the two-dimensional, locally resonant, unit-cell model. I. High energy pulsations and routes to energy localization ⋮ Two-dimensional nonlinear energy sink for effective passive seismic mitigation

Cites Work

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• Nonlinear targeted energy transfer in mechanical and structural systems. 2 Vols.
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• Limiting phase trajectories and energy exchange between anharmonic oscillator and external force
• 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. I. High energy pulsations and routes to energy localization
• Tractable Models of Solid Mechanics

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