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Reversible systems. Stability at 1:1 resonance

✍ Scribed by P.S. Krasil'nikov; V.N. Tkhai


Book ID
107776310
Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
781 KB
Volume
56
Category
Article
ISSN
0021-8928

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Poisson structure of the reversible 1:1
✍ Thomas J. Bridges πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 473 KB

Vector fields that are reversible -but non-Hamiltonian -are considered in the neighborhood of a 1 : 1 resonance. It is found that the normalized vector field has a hidden Poisson structure on the orbit space that is reminiscent of the equations governing the rigid body in mechanics. The theory is us