A multi-spiral set of solutions of a 3-D Hamiltonian system

Details A multi-spiral set of solutions of a 3-D Hamiltonian system A multi-spiral set of solutions of a 3-D Hamiltonian system

Jan 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..55...87b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 55, no. 1, p. 87-98.

Astronomy and Astrophysics

Astronomy

3

Hamiltonian Functions, Orbital Mechanics, Three Dimensional Models, Liapunov Functions, Stochastic Processes

Scientific paper

Various sets of periodic solutions of a 3D Hamiltonian system crossing perpendicularly the z = 0 plane are presented. These sets form a main multi-spiral pattern and two secondary ones which have three focal points. The main pattern is inside a stochastic region that surrounds a simple complex unstable periodic orbit, while the two secondary patterns are parts of a stochastic sea. Through these regions the stochastic region communicates with the stochastic sea.

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