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On the Number of Isolating Integrals in Systems with Three Degrees of Freedom
Published online by Cambridge University Press: 12 April 2016
Abstract
Dynamical systems with three degrees of freedom can be reduced to the study of a four-dimensional mapping. We consider here, as a model problem, the mapping given by the following equations:
We have found that as soon as b ≠ 0, i.e. even for a very weak coupling, a dynamical system with three degrees of freedom has in general either two or zero isolating integrals (besides the usual energy integral).
- Type
- Research Article
- Information
- International Astronomical Union Colloquium , Volume 10: Gravitational N-Body Problem , November 1971 , pp. 110 - 117
- Copyright
- Copyright © Reidel 1971