Periodic orbits and ergodic components of a resonant dynamical system

Details Periodic orbits and ergodic components of a resonant dynamical system Periodic orbits and ergodic components of a resonant dynamical system

Oct 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980a%26a....90..198c&link_type=abstract

Astronomy and Astrophysics, vol. 90, no. 1-2, Oct. 1980, p. 198-203.

Astronomy and Astrophysics

Astrophysics

25

Celestial Mechanics, Orbital Elements, Orbital Mechanics, Orbits, Ergodic Process, Periodic Variations, Stability

Scientific paper

A study is presented of a dynamical system with two equal frequencies as
the energy h increases. For small h the system is close to an integrable
one while for h approaching the escape energy it has several ergodic
components that show a hierarchical structure. This structure is related
to the bifurcation of new families of periodic orbits.

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