INTERSECTING RESONANCES AS A ROUTE TO CHAOS - CLASSICAL AND QUANTUM STUDIES OF A 3-OSCILLATOR MODEL

Journal article

We consider a model system of three weakly coupled, weakly anharmonic oscillators, containing two near 2:1 Fermi resonances. By reduction to a system of two coupled pendula, the classical system can be understood in terms of predictable resonance zones and their intersection in phase space. This description is shown to have a natural quantum parallel, and the location and widths of the resonance zones in the corresponding quantum action space are likewise descrined. Results from numerical studies are given to support the description and illustrate the parallels between classical and quantum behaviour. © 1992.

Authors: Atkins, K; Logan, D

• Publication status: Published
• Journal: PHYSICS LETTERS A
• Volume: 162
• Issue: 3
• Pages: 255-262
• Publication date: 1992-02-10
• DOI: 10.1016/0375-9601(92)90443-P
• ISSN: 0375-9601
• Language: English