In this paper,by discussing the basic hypotheses about the continuous orbit and discrete orbit in two research directions of the background medium theory for celestial body motion,the concrete equation forms and their summary of the theoretic frame of celestial body motion are introduced.

A new method of stability analysis for periodic orbits of piecewise linear chaotic systems;

Study on analytic approach for extracting periodic orbits of piecewise linear chaotic systems;

On odd periodic orbits of f(x)=1-ax~2;

It can cause a series of observation effects, such as star-spot activity, optical flare events, the uneven distribution of the chemical element abundances, stellar wind, the changes of the orbital period and the chromospherically activities.

Under this extreme physical conditions, RS CVn-type binaries show all features of solar activity: chromospheric emission lines (such as Hα, Hβ, CaII H&K), X-ray emission, spots, flare, mass loss due to star wind, magnetic activity, and orbital period variations.

The transforming pattern of the system behavior from stable state to chaotic state is discovered via a cascade of perioddoubling bifurcations of the output voltage in the bifurcation diagram and a cascade of periodic orbits in the ui phase.

The paper describes the one periodic and two periodic orbits to a dc dc buck converter on chaos.

The paper discribes the class one three--dimensional dynamic system and spreads the conclusion of the existence, uniqueness and stability deduced from the two- dimensional autonomous system s periodic orbits to three--dimentional autonomous system.

Computing Unstable Period Orbits of Discrete Chaotic System Though Differential Evolutionary Algorithms Basing on Elite Subspace;

The chaos system is andysed by cell model,also analyze the reasons for period orbits formation.

This paper take a further discussion about period orbit,recorrence point,orbit s ω-limit set and α limit-set and get several relative results.