Author: Joint Summer Research Conference on Hamiltonian Dy
Publisher: Amer Mathematical Society
Keywords: hamiltonian, celestial, mechanics, dynamics, washington, contemporary, mathematics, seattle, research, joint, summer, conference, june
Number of Pages: 240
Published: 1996-08
List price: $84.00
ISBN-10: 0821805665
ISBN-13: 9780821805664

This book contains selected papers from the AMS-IMS-SIAM Joint Summer Research Conference on Hamiltonian Systems and Celestial Mechanics held in Seattle in June 1995. The symbiotic relationship of these two topics creates a natural combination for a conference on dynamics. Topics covered include twist maps, the Aubrey-Mather theory, Arnold diffusion, qualitative and topological studies of systems, and variational methods, as well as specific topics such as Melnikov’s procedure and the singularity properties of particular systems. As one of the few books that addresses

Author: M. G. Calkin
Publisher: World Scientific Publishing Company
Keywords: mechanics, hamiltonian, lagrangian
Number of Pages: 216
Published: 1996-07-04
List price: $38.00
ISBN-10: 9810226721
ISBN-13: 9789810226725

This book takes the student from the Newtonian mechanics typically taught in the first and the second year to the areas of recent research. The discussion of topics such as invariance, Hamiltonian Jacobi theory, and action-angle variables is especially complete; the last includes a discussion of the Hannay angle, not found in other texts. The final chapter is an introduction to the dynamics of nonlinear nondissipative systems. Connections with other areas of physics which the student is likely to be studying at the same time, such as electromagnetism and quantum mechanics, are made where possi

Author: George M. Zaslavsky
Publisher: Oxford University Press, USA
Keywords: dynamics, fractional, chaos, hamiltonian
Number of Pages: 436
Published: 2005-02-24
List price: $150.00
ISBN-10: 0198526040
ISBN-13: 9780198526049

The dynamics of realistic Hamiltonian systems has unusual microscopic features that are direct consequences of its fractional space-time structure and its phase space topology. The book deals with the fractality of the chaotic dynamics and kinetics, and also includes material on non-ergodic and non-well-mixing Hamiltonian dynamics. The book does not follow the traditional scheme of most of today’s literature on chaos. The intention of the author has been to put together some of the most complex and yet open problems on the general theory of chaotic systems. The importance of the disc

Author: Alberto Abbondandolo
Publisher: Chapman and Hall/CRC
Keywords: systems, hamiltonian, theory, morse
Number of Pages: 208
Published: 2001-03-15
List price: $129.95
ISBN-10: 1584882026
ISBN-13: 9781584882022

This Research Note explores existence and multiplicity questions for periodic solutions of first order, non-convex Hamiltonian systems. It introduces a new Morse (index) theory that is easier to use, less technical, and more flexible than existing theories and features techniques and results that, until now, have appeared only in scattered journals. Morse Theory for Hamiltonian Systems provides a detailed description of the Maslov index, introduces the notion of relative Morse index, and describes the functional setup for the variational theory of Hamiltonian systems, including a new proof of

Author: M. G. Calkin
Publisher: World Scientific Pub Co Inc
Keywords: exercises, solutions, mechanics, hamiltonian, lagrangian
Number of Pages: 240
Published: 1999-05
List price: $41.00
ISBN-10: 9810237820
ISBN-13: 9789810237820

This text contains the exercises from the classical mechanics textbook "Lagrangian and Hamiltonian Mechanics", together with their complete solutions. It is intended primarily for instructors who are using the textbook in their course, but it may also be used, together with the textbook, by those who are studying mechanics on their own.

Author: Anthony D. Blaom
Publisher: American Mathematical Society
Keywords: theory, perturbation, hamiltonian, setting, geometric
Number of Pages: 112
Published: 2001-08-01
List price: $51.00
ISBN-10: 0821827200
ISBN-13: 9780821827208

The perturbation theory of non-commutatively integrable systems is revisited from the point of view of non-Abelian symmetry groups. Using a coordinate system intrinsic to the geometry of the symmetry, we generalize and geometrize well-known estimates of Nekhoroshev (1977), in a class of systems having almost $G$-invariant Hamiltonians. These estimates are shown to have a natural interpretation in terms of momentum maps and co-adjoint orbits. The geometric framework adopted is described explicitly in examples, including the Euler-Poinsot rigid body.

Authors:R.S MacKay, J.D Meiss,
Publisher: Taylor & Francis
Keywords: selection, reprint, systems, dynamical, hamiltonian
Number of Pages: 784
Published: 1987-01-01
List price: $259.95
ISBN-10: 0852742053
ISBN-13: 9780852742051

Classical mechanics is a subject that is teeming with life. However, most of the interesting results are scattered around in the specialist literature, which means that potential readers may be somewhat discouraged by the effort required to obtain them. Addressing this situation, Hamiltonian Dynamical Systems includes some of the most significant papers in Hamiltonian dynamics published during the last 60 years. The book covers bifurcation of periodic orbits, the break-up of invariant tori, chaotic behavior in hyperbolic systems, and the intricacies of real systems that contain coexisting orde