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INTERSECTING RESONANCES AND CHAOS IN A 3-OSCILLATOR MODEL .1. CLASSICAL-STUDIES

Abstract:

We consider a model system of three weakly coupled, weakly anharmonic oscillators, containing two near 2:1 Fermi resonances. This system is initially reduced via a resonance approximation to one of two coupled pendula, each pendulum representing one of the interoscillator resonances. This leads to a natural description of the system in terms of analytically predictable resonance zones and their intersection in action space. A full numerical analysis of the classical dynamics of the two-pendul...

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Publication status:
Published

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Publisher copy:
10.1063/1.463082
Journal:
JOURNAL OF CHEMICAL PHYSICS
Volume:
97
Issue:
4
Pages:
2438-2450
Publication date:
1992-08-15
DOI:
ISSN:
0021-9606
Language:
English
Pubs id:
pubs:43861
UUID:
uuid:371a7d7e-a9c0-4df9-81a5-2cf605bd63ac
Local pid:
pubs:43861
Source identifiers:
43861
Deposit date:
2012-12-19

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