On the Number of Isolating Integrals in Systems with Three Degrees of Freedom
1971 ◽
Vol 10
◽
pp. 110-117
Keyword(s):
AbstractDynamical 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).
2018 ◽
Vol 27
(07)
◽
pp. 1850066
1991 ◽
Vol 32
(4)
◽
pp. 401-436
◽
1974 ◽
Vol 62
◽
pp. 297-310
Keyword(s):
1971 ◽
Vol 17
(3)
◽
pp. 241-244