Abstract
Dynamical systems with three degrees of freedom can be reduced to the study of a fourdimensional mapping. We consider here, as a model problem, the mapping given by the following equations:
We have found that as soon asb≠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).
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Froeschle, C. On the number of isolating integrals in systems with three degrees of freedom. Astrophys Space Sci 14, 110–117 (1971). https://doi.org/10.1007/BF00649198
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DOI: https://doi.org/10.1007/BF00649198