Titlebook: Introduction to Hamiltonian Dynamical Systems and the N-Body Problem; Kenneth R. Meyer,Glen R. Hall Book 19921st edition Springer Science+

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Applied Mathematical Scienceshttp://image.papertrans.cn/i/image/473757.jpg

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Stability and KAM Theory,Questions of stability of orbits have been of interest since .ewton first set down the laws that govern the motion of the celestial bodies. “.s the universe stable?” is almost a theological question. .ven though the question is old and important, very little is known about the problem, and much of what is known is difficult to come by.

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Springer Science+Business Media New York 1992

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Continuation of Periodic Solutions,X will present a treatment of fixed point methods as they apply to Hamiltonian systems. In this chapter the periodic solutions vary continuously with the parameter (“can be continued”), but Chapter VII will discuss the bifurcations of periodic solutions.

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0066-5452 roblem for its own sake. The N-body problem is a subject in its own right which would require a sizable volume of its own. Very few of the special results which only apply to the N-body problem are given.978-1-4757-4073-8Series ISSN 0066-5452 Series E-ISSN 2196-968X