Nonlinear Oscillatory Acoustic Vacuum

DOI10.1137/140957949zbMath1316.74025OpenAlexW1975537407MaRDI QIDQ5246063

Leonid I. Manevitch, Alexander F. Vakakis

Publication date: 17 April 2015

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140957949

zbMATH Keywords

nonlinear energy transferlimiting phase trajectorynonlinear acoustic sonic vacuum

Mathematics Subject Classification ID

Nonlinear waves in solid mechanics (74J30) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Asymptotic expansions of solutions to ordinary differential equations (34E05) Multiple scale methods for ordinary differential equations (34E13) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (11)

On essential nonlinearities emerging from linear systems ⋮ Introduction to a topical issue ‘nonlinear energy transfer in dynamical and acoustical Systems' ⋮ Passive nonlinear targeted energy transfer ⋮ Forced oscillations of the string under conditions of ‘sonic vacuum’ ⋮ Nonlinear targeted energy transfer: state of the art and new perspectives ⋮ Stationary and non-stationary dynamics of discrete square membrane ⋮ Complex Envelope Variable Approximation in Nonlinear Dynamics ⋮ Energy exchange and localization in the planar motion of a weightless beam carrying two discrete masses ⋮ Periodically forced nonlinear oscillatory acoustic vacuum ⋮ Efficiency of a Three-Particle Energy Sink: Experimental Study and Numerical Simulation ⋮ Discrete breathers and discrete oscillating kink solution in the mass-in-mass chain in the state of acoustic vacuum

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