Nonlinear targeted energy transfer and macroscopic analog of the quantum Landau-Zener effect in coupled granular chains

DOI10.1016/J.PHYSD.2013.02.011zbMath1278.81168OpenAlexW2078025046MaRDI QIDQ387350

Alexander F. Vakakis, Yuli Starosvetsky, M. Arif Hasan, Leonid I. Manevitch

Publication date: 23 December 2013

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2013.02.011

zbMATH Keywords

granular chainstargeted energy transferLandau-Zener tunneling

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (7)

Nonlinear localization, passive wave arrest and traveling breathers in two-dimensional granular networks with discontinuous lateral boundary conditions ⋮ Primary wave transmission in the hexagonally packed, damped granular crystal with a spatially varying cross section ⋮ Irreversible energy transfer, localization and non-reciprocity in weakly coupled, nonlinear lattices with asymmetry ⋮ Interactions of propagating waves in a one-dimensional chain of linear oscillators with a strongly nonlinear local attachment ⋮ Certain aspects of the acoustics of a strongly nonlinear discrete lattice ⋮ Edge states and frequency response in nonlinear forced-damped model of valve spring ⋮ Unidirectional energy transport in the symmetric system of non-linearly coupled oscillators and oscillatory chains

Cites Work

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• Nonlinear targeted energy transfer in mechanical and structural systems. 2 Vols.
• Breathers in nonlinear lattices: existence, linear stability and quantization
• Intraband discrete breathers in disordered nonlinear systems. II: Localization
• Targeted energy transfer by Fermi resonance
• Intraband discrete breathers in disordered nonlinear systems. I: Delocalization
• Strongly Nonlinear Beat Phenomena and Energy Exchanges in Weakly Coupled Granular Chains on Elastic Foundations

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