Chaotic Worlds: from Order to Disorder in Gravitational by B.A. Steves, A.J. Maciejewski, M. Hendry PDF

By B.A. Steves, A.J. Maciejewski, M. Hendry

ISBN-10: 1402047045

ISBN-13: 9781402047046

ISBN-10: 1402047061

ISBN-13: 9781402047060

In keeping with the hot NATO complicated examine Institute "Chaotic Worlds: From Order to illness in Gravitational N-Body Dynamical Systems", this state-of-the-art textbook, written via across the world well known specialists, presents a useful reference quantity for all scholars and researchers in gravitational n-body structures. The contributions are in particular designed to provide a scientific improvement from the elemental arithmetic which underpin glossy reviews of ordered and chaotic behaviour in n-body dynamics to their software to actual movement in planetary structures. This quantity provides an up to date synoptic view of the topic.

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Additional info for Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems (NATO Science Series II: Mathematics, Physics and Chemistry)

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H. (1988). Absolutely convergent series expansion for quasi–periodic motions. report 2–88, Dept. , Univ. of Stockolm; later published in MPEJ, 2:1–33 (1996). Gallavotti, G. (1994). Twistless KAM tori. Comm. Math. , 164:145–156. Giorgilli, A. and Galgani, L. (1978). Formal integrals for an autonomous Hamiltonian system near an equilibrium point. Cel. , 17:267–280. 40 A. Giorgilli and U. Locatelli Giorgilli, A. Rigorous results on the power expansions for the integrals of a Hamiltonian system near an elliptic equilibrium point.

Arnold, V. I. (1963b). Proof of a theorem of A. N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian, Usp. Mat. Nauk 18:13–. In Russian. English translation in Russ. Math. , 18:9–36. Arnold, V. I. (1963c). Small denominators and problems of stability of motion in classical and Celestial Mechanics, Usp. Math. In Russian. English translation in Russ. Math. Surv. 18(6):85–191. Arnold, V. I. (1964). Instability of dynamical systems with several degrees of freedom, Sov.

I. (1963b). Proof of a theorem of A. N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian, Usp. Mat. Nauk 18:13–. In Russian. English translation in Russ. Math. , 18:9–36. Arnold, V. I. (1963c). Small denominators and problems of stability of motion in classical and Celestial Mechanics, Usp. Math. In Russian. English translation in Russ. Math. Surv. 18(6):85–191. Arnold, V. I. (1964). Instability of dynamical systems with several degrees of freedom, Sov.

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Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems (NATO Science Series II: Mathematics, Physics and Chemistry) by B.A. Steves, A.J. Maciejewski, M. Hendry


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