Limiting phase trajectories and resonance energy transfer in a system of two coupled oscillators

DOI10.1155/2010/760479zbMath1191.34050OpenAlexW2006518334WikidataQ58653328 ScholiaQ58653328MaRDI QIDQ966390

A. S. Kovaleva, E. L. Manevitch, Leonid I. Manevitch

Publication date: 23 April 2010

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/224356

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Nonlinear dynamics in mechanics (70K99)

Related Items (7)

Energy distribution in intrinsically coupled systems: the spring pendulum paradigm ⋮ Non-smooth approximations of the limiting phase trajectories for the Duffing oscillator near \(1:1\) resonance ⋮ Nonlinear energy channeling in the two-dimensional, locally resonant, unit-cell model. II. Low energy excitations and unidirectional energy transport ⋮ Consecutive transitions from localized to delocalized transport states in the anharmonic chain of three coupled oscillators ⋮ Analysis of the transient behavior in a two dof nonlinear system ⋮ On intense energy exchange and localization in periodic FPU dimer chains ⋮ Interactions of propagating waves in a one-dimensional chain of linear oscillators with a strongly nonlinear local attachment

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• On Steady-State Harmonic Vibrations of Nonlinear Systems With Many Degrees of Freedom
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