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Field name	Details
Dewey Class	515
Title	Hamiltonian Dynamical Systems ([EBook] :) : History, Theory, and Applications / / edited by H. S. Dumas, K. S. Meyer, D. S. Schmidt.
Added Personal Name	Dumas, H. S. editor.
	Meyer, K. S. editor.
	Schmidt, D. S. editor.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : : Springer New York, , 1995.
Physical Details	XIX, 385 p. : online resource.
Series	The IMA volumes in mathematics and its applications 0940-6573 ; ; 63
ISBN	9781461384489
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4613-8448-9
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Mathematical analysis . Mathematics . Authors: Dumas, H. S. . Meyer, K. S. . Schmidt, D. S. . Corporate Authors: SpringerLink (Online service) . Series: The IMA volumes in mathematics and its applications . Classification: 515 .

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Hamiltonian Dynamical Systems: History, Theory, and Applications /

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