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Study of the Critical Points at Infinity Arising from the Failure of the Palais-Smale...

Home > Mathematics Books > Infinity > Item 370

	Study of the Critical Points at Infinity Arising from the Failure of the Palais-Smale...
	by Hasna Riahi Sales Rank: 6246521	List Price: ~~$43.00~~ $43.00 At Amazon on 12-6-2008

Paperback: 112 pages Publisher: American Mathematical Society March 1999 Language: English ISBN-10: 0821808737 ISBN-13: 978-0821808733 Product Dimensions: 9.7 x 6.8 x 0.3 inches Shipping Weight: 8 ounces *Product Description* In this work, the author examines the following: When the Hamiltonian system $m_i \ddot{q}_i + (\partial V/\partial q_i) (t,q) =0$ with periodicity condition $q(t+T) = q(t),\; \forall t \in \mathfrak R$ (where $q_{i} \in \mathfrak R^{\ell}$, $\ell \ge 3$, $1 \le i \le n$, $q = (q_{1},,q_{n})$ and $V = \sum V_{ij}(t,q_{i}-q_{j})$ with $V_{ij}(t,\xi)$ $T$-periodic in $t$ and singular in $\xi$ at $\xi = 0$) is posed as a variational problem, the corresponding functional does not satisfy the Palais-Smale condition and this leads to the notion of critical points at infinity. This volume is a study of these critical points at infinity and of the topology of their stable and unstable manifolds. The potential considered here satisfies the strong force hypothesis which eliminates collision orbits. The details are given for 4-body type problems then generalized to n-body type problems.
Study of the Critical Points at Infinity Arising from the Failure of the Palais-Smale... Available from Amazon Price: $43.00 Updated on 12-6-2008

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