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9789812561367

Symmetry And Perturbation Theory

by ; ; ;
  • ISBN13:

    9789812561367

  • ISBN10:

    9812561366

  • Format: Hardcover
  • Copyright: 2005-03-30
  • Publisher: World Scientific Pub Co Inc
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Supplemental Materials

What is included with this book?

Summary

- In-depth treatment of recent advances in "choreography" solutions to the N-body problem in classical mechanics- Account of recent advances in the geometric theory of separable and superintegrable systems- A geometric approach to symmetry of differential equations.

Table of Contents

Foreword v
Acknowledgements vii
Contents ix
Papers
A co-chain map for the G invariant De Rham complex
1(12)
I.M. Anderson
M.E. Fels
New examples of trihamiltonian structures linking different Lenard chains
13(9)
C. Andra
L. Degiovanni
Wave propagation in an elastic medium: GDS equations
22(5)
C. Babaoglu
S. Erbay
Parametric excitation in nonlinear dynamics
27(8)
T. Bakri
Collisionless action-minimizing trajectories for the equivariant 3-body problem in R2
35(8)
V. Barutello
The Lagrangian and Hamiltonian formulations for a special class of non-conservative systems
43(8)
S. Benenti
Shadowing chains of collision orbits for the elliptic 3-body problem
51(8)
S. Bolotin
Similarity reductions of an optical model
59(8)
M.S. Bruzon
M.L. Gandarias
Fold, transcritical and pitchfork singularities for time-reversible systems
67(8)
C.A. Buzzi
P.R. Silva
M.A. Teixeira
Homographic three-body motions with positive and negative masses
75(8)
M. Celli
Remarks on conformal Killing tensors and separation of variables
83(8)
C. Chanu
G. Rastelli
A regularity theory for optimal partition problems
91(8)
M. Conti
G. Verzini
S. Terracini
Lambda and mu-symmetries
99(7)
G. Gaeta
Potential symmetries and linearization of some evolution equations
106(9)
M.L. Gandarias
Periodic solutions for zero mass nonlinear wave equations
115(9)
G. Gentile
Fundamental covariants in the invariant theory of Killing tensors
124(8)
J.T. Horwood
R.G. McLenaghan
R.G. Smirnov
D. The
Global geometry of 3-body trajectories with vanishing angular momentum
132(9)
W.Y. Hsiang
The relation between the topological structure of the set of controllable affine systems and topological structures of the set of controllable homogenuous systems in low dimension
141(10)
A. Kadem
On preservation of action variables for satellite librations in elliptic orbits with account of solar light pressure
151(8)
I.I. Kossenko
An explicit solution of the (quantum) elliptic Calogero-Sutherland model
159(16)
E. Langmann
An application of the Melnikov integral to a restricted three body problem
175(8)
J. Llibre
E. Perez-Chavela
Reductions of integrable equations and automorphic Lie algebras
183(10)
S. Lombardo
A.V. Mikhailov
Geometric reduction of Poisson operators
193(5)
K. Marciniak
M. Blaszak
Closed manifolds admitting metrics with the same geodesics
198(11)
V.S. Matveev
A transcritical-flip bifurcation in a model for a robot-arm
209(6)
H.G.E. Meijer
Alignment and the classification of Lorentz-signature tensors
215(8)
R. Milson
Renormalization group symmetry and gas dynamics
223(6)
S. Murata
Refined computation of hypernormal forms
229(7)
J. Murdock
New order reductions for Euler-Lagrange equations
236(8)
C. Muriel
J.L. Romero
Regularity of pseudogroup orbits
244(11)
P.J. Olver
J. Pohjanpelto
Relaxation times to equilibrium in Fermi-Pasta-Ulam system
255(8)
S. Paleari
T. Penati
Energy cascade in Fermi-Pasta-Ulam models
263(8)
A. Ponno
D. Bambusi
On Birkhoff method for integrable lagrangian systems
271(8)
G. Pucacco
Symmetry of singularities and orbit spaces of compact linear groups
279(12)
G. Sartori
G. Valente
Symmetric solutions in molecular potentials
291(9)
L. Sbano
Variational approach to soliton generation and stability analysis of multidimensional nonlinear Schrodinger equation
300(8)
V. Skarka
N.B. Aleksic
V. Berezhiani
Differential invariants for infinite-dimensional algebras
308
I. Yehorchenko
Conference information
Conference program
313(5)
List of participants
318(4)
List of communications
321(5)
Papers appearing in previous SPT proceedings
326

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