Описание: This monograph contains an in-depth analysis of the dynamics given by a linear Hamiltonian system of general dimension with nonautonomous bounded and uniformly continuous coefficients, without other initial assumptions on time-recurrence.
Описание: Providing expanded material on the restricted three body problem and celestial mechanics, the third edition has new material on reduction, orbifolds and the regularization of the Kepler problem, all with applications. It provides a mathematical structure of celestial mechanics for beginners, and will be useful to graduate students and researchers.
Автор: Llibre, Jaume Moeckel, Richard Simo, Carles Название: Central configurations, periodic orbits, and hamiltonian systems ISBN: 3034809328 ISBN-13(EAN): 9783034809320 Издательство: Springer Рейтинг: Цена: 4191.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 1 The Averaging Theory for Computing Periodic Orbits.- Introduction: the classical theory.- Averaging theory for arbitrary order and dimension.- Three applications of Theorem.- 2 Lectures on Central Configurations.- The n-body problem.- Symmetries and integrals.- Central configurations and self-similar solutions.- Matrix equations of motion.- Homographic motions of central configurations in Rd.- Albouy-Chenciner reduction and relative equilibria in Rd.- Homographic motions in Rd.- Central configurations as critical points.- Collinear central configurations.- Morse indices of non-collinear central configurations.- Morse theory for CC's and SBC's.- Dziobek configurations.- Convex Dziobek central configurations.- Generic finiteness for Dziobek central configurations.- Some open problems.- 3 Dynamical Properties of Hamiltonian Systems.- Introduction.- Low dimension.- Some theoretical results, their implementation and practical tools.- Applications to Celestial Mechanics.
Автор: Sergej B. Kuksin Название: Nearly Integrable Infinite-Dimensional Hamiltonian Systems ISBN: 3540571612 ISBN-13(EAN): 9783540571612 Издательство: Springer Рейтинг: Цена: 3492.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph is devoted to partial differential equations (PDEs) of Hamiltonian form. For each equation, a KAM-like theorem is proved, and then applied to classical nonlinear PDEs with one-dimensional space variables, such as the nonlinear string and nonlinear Schroedinger equations.
Описание: This book is devoted to the relation between two different concepts of integrability: the complete integrability of complex analytical Hamiltonian systems and the integrability of complex analytical linear differential equations.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru