Title

Internal Resonances In Nonlinearly-Coupled Oscillators

Comments

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Abbreviated Journal Title

Comput. Math. Appl.

Keywords

Mechanics

Abstract

The present paper gives an analytical perturbation theory to treat the problem of internal resonances of higher orders in systems of nonlinearly-coupled oscillators. The problem of two nonlinearly-coupled oscillators is treated first. It is found even for higher-order internal resonances that whereas the actions of the individual oscillators are nearly constant when the system does not show an internal resonance, the total action of the uncoupled system is nearly constant when the system undergoes an internal resonance and allows for a significant redistribution of action between the two oscillators — a result which is known to hold for the lowest-order internal resonance. We will then use these results to make a brief discussion of a possible relation between energy sharing and the onset of ergodicity for non-integrable systems.

Journal Title

Computers & Mathematics with Applications

Volume

72

Issue/Number

1-2

Publication Date

1-1-1988

Document Type

Article

Language

English

First Page

111

Last Page

130

WOS Identifier

WOS:A1988P065500007

ISSN

0001-5970

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