Systems of Transversal Sections Near Critical Energy Levels of Hamiltonian Systems in $\mathbb {R}^4$, Naiara V. de Paulo, Pedro A.S. Salomao

Автор: Meyer, Kenneth Offin, Daniel C.
Название: Introduction to hamiltonian dynamical systems and the n-body problem
ISBN: 3319536907 ISBN-13(EAN): 9783319536903
Издательство: Springer
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Цена: 74530.00 T
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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: Jean Mawhin
Название: Critical Point Theory and Hamiltonian Systems
ISBN: 1441930892 ISBN-13(EAN): 9781441930897
Издательство: Springer
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Цена: 104480.00 T
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Автор: Maciej Blaszak
Название: Multi-Hamiltonian Theory of Dynamical Systems
ISBN: 3642637809 ISBN-13(EAN): 9783642637803
Издательство: Springer
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Цена: 87070.00 T
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Описание: This book offers a modern introduction to the Hamiltonian theory of dynamical systems, presenting a unified treatment of all types of dynamical systems, i.e., finite, lattice, and field. Particular attention is paid to nonlinear systems that have more than one Hamiltonian formulation in a single coordinate system.

Автор: Tudor Ratiu
Название: The Geometry of Hamiltonian Systems
ISBN: 1461397278 ISBN-13(EAN): 9781461397274
Издательство: Springer
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Цена: 111790.00 T
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Описание: The papers in this volume are an outgrowth of the lectures and informal discussions that took place during the workshop on "The Geometry of Hamiltonian Systems" which was held at MSRl from June 5 to 16, 1989.

Автор: Llibre, Jaume Moeckel, Richard Simo, Carles
Название: Central configurations, periodic orbits, and hamiltonian systems
ISBN: 3034809328 ISBN-13(EAN): 9783034809320
Издательство: Springer
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Цена: 27940.00 T
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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.