Targeted energy transfer by Fermi resonance

DOI10.1016/j.physd.2005.02.003zbMath1089.37534OpenAlexW2033241975MaRDI QIDQ1779766

P. Maniadis, Serge Aubry

Publication date: 1 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.physd.2005.02.003

zbMATH Keywords

nonlinear oscillatorsenergy transferFermi resonancechemical dissociationdegenerate quantum states

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Forced motions for nonlinear problems in mechanics (70K40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Applications of dynamical systems (37N99) General mathematical topics and methods in quantum theory (81Q99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (6)

Nonlinear targeted energy transfer and macroscopic analog of the quantum Landau-Zener effect in coupled granular chains ⋮ Vibration suppression and modal energy transfers in a linear beam with attached vibro-impact nonlinear energy sinks ⋮ Discrete breathers: localization and transfer of energy in discrete Hamiltonian nonlinear systems ⋮ Intramolecular signal transmission in regulatory enzymes: are polarons involved? ⋮ Energy transfers in a system of two coupled oscillators with essential nonlinearity: 1:1 resonance manifold and transient bridging orbits ⋮ Stochastic energy absorbers based on analogies with soft-wall billiards

Cites Work

• Classical and quantum targeted energy transfer between nonlinear oscillators
• THE RESPONSE OF A NONLINEAR SYSTEM WITH A NONSEMISIMPLE ONE-TO-ONE RESONANCE TO A COMBINATION PARAMETRIC RESONANCE
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