Title

Internal Resonances In Weakly Nonlinearly Coupled Oscillators With Slowly Varying Parameters

Comments

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Abbreviated Journal Title

Z. Angew. Math. Mech.

Keywords

Mathematics; Applied; Mechanics

Abstract

The present paper considers the problem of internal resonances in a system of two linear oscillators which are weakly nonlinearly coupled. The system parameters such as the uncoupled frequencies of the oscillators vary slowly in time so that internal resonances prevail only temporarily. One issue of interest in such problems is how the presence of nonlinear coupling affects the adiabatic invariance of the individual actions of the two oscillators. The purpose of this paper is to give a method to investigate this issue quite generally, without assuming special forms of temporal variations of the uncoupled frequencies of the two oscillators and without considering the details of the transition region corresponding to an internal resonance.

Journal Title

Zeitschrift Fur Angewandte Mathematik Und Mechanik

Volume

67

Issue/Number

1

Publication Date

1-1-1987

Document Type

Article

Language

English

First Page

23

Last Page

26

WOS Identifier

WOS:A1987G138200003

ISSN

0044-2267

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