Chaos in Simple Dynamical Systems – the Sitnikov Problem
نویسنده
چکیده
It is well known that in low degrees of freedom dynamical systems chaotic behaviour appears. To examine this phenomenon the Sitnikov problem is a very good example which is a special case of the restricted three-body problem. In this paper we investigate the changing of the phase space structure due to the variation of the Surfaces of Sections.
منابع مشابه
Stabilization of Chaotic Behavior in the Restricted Three-Body Problem
Henri Poincaré in his work on Celestial Mechanics underlined a possibility of chaotic behavior in threebody problem by the destruction of homoclinic contours. Later, an existence of transverse homoclinic points in the three-body problem was analytically verified. A well-known modification of the restricted three-body problem is that of Sitnikov [1960]. The Sitnikov problem takes place when two ...
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