Hamiltonian Dynamical Systems
History, Theory, and Applications
Published on 11. November 2011
Book
Paperback/Softback
XIX, 385 pages
978-1-4613-8450-2 (ISBN)
Description
From its origins nearly two centuries ago, Hamiltonian dynamics has grown to embrace the physics of nearly all systems that evolve without dissipation, as well as a number of branches of mathematics, some of which were literally created along the way. This volume contains the proceedings of the International Conference on Hamiltonian Dynamical Systems; its contents reflect the wide scope and increasing influence of Hamiltonian methods, with contributions from a whole spectrum of researchers in mathematics and physics from more than half a dozen countries, as well as several researchers in the history of science. With the inclusion of several historical articles, this volume is not only a slice of state-of-the-art methodology in Hamiltonian dynamics, but also a slice of the bigger picture in which that methodology is imbedded.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1995
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
XIX, 385 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 23 mm
Weight
616 gr
ISBN-13
978-1-4613-8450-2 (9781461384502)
DOI
10.1007/978-1-4613-8448-9
Schweitzer Classification
Other editions
Additional editions
H.S. Dumas | K.R. Meyer | D.S. Schmidt
Hamiltonian Dynamical Systems
History, Theory, and Applications
Book
03/1995
Springer
€96.00
Article not available at the moment
Content
History.- The Concept of Elastic Stress in Eighteenth-Century Mechanics: Some Examples from Euler.- Book Two of Radical Principia.- Factoring the Lunar Problem: Geometry, Dynamics, and Algebra in the Lunar Theory from Kepler to Clairaut.- Theory and Applications.- A Limiting Absorption Principle for Separated Dirac Operators with Wigner von Neumann Type Potentials.- Lax Pairs in the Henon-Heiles and Related Families.- Poincaré Compactification of Hamiltonian Polynomial Vector Fields.- Transverse Homoclinic Connections for Geodesic Flows.- A New Proof of Anosov's Averaging Theorem.- Bifuracation in the Generalized van der Waals Interaction: The Polar Case (M = 0).- Energy Equipartition and Nekhoroshev-Type Estimates for Large Systems.- Suspension of Symplectic Twist Maps by Hamiltonians.- Global Structural Stability of Planar Hamiltonian Vector Fields.- Analytic Torsion, Flows and Foliations.- Linearized Dynamics of Symmetric Lagrangian Systems.- A 1:-1 Semisimple Hamiltonian Hopf Bifurcation in Vortex Dynamics.- Stability of Hamiltonian Systems over Exponentially Long Times: The Near-Linear Case.- Constrained Variational Principles and Stability in Hamiltonian Systems.- The Global Phase Structure of the Three Dimensional Isosceles Three Body Problem with Zero Energy.- Non-canonical Transformations of Nonlinear Hamiltonians.- Linear Stability Analysis of Some Symmetrical Classes of Relative Equilibria.- Identical Maslov Indices from Different Symplectic Structures.- Discretization of Autonomous Systems and Rapid Forcing.- Computing the Motion of the Moon Accurately.- On the Rapidly Forced Pendulum.- Existence of Invariant Tori for Certain Non-Symplectic Diffeomorphisms.