<P>Physical laws are for the most part expressed in terms of differential equations, and natural classes of these are in the form of conservation laws or of problems of the calculus of variations for an action functional. These problems can generally be posed as Hamiltonian systems, whether dynamica
Hamiltonian Systems: Dynamics, Analysis, Applications
β Scribed by Albert Fathi, Philip J. Morrison, Tere M-Seara, Sergei Tabachnikov
- Publisher
- Cambridge University Press
- Year
- 2024
- Tongue
- English
- Leaves
- 376
- Series
- Mathematical Sciences Research Institute Publications 72
- Category
- Library
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
<p>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 I
<span>Dynamical systems that are amenable to formulation in terms of a Hamiltonian function or operator encompass a vast swath of fundamental cases in applied mathematics and physics. This carefully edited volume represents work carried out during the special program on Hamiltonian Systems at MSRI i
This volume contains contributions by participants in the AMS-IMS-SIAM Summer Research Conference on Hamiltonian Dynamical Systems, held at the University of Colorado in June 1984. The conference brought together researchers from a wide spectrum of areas in Hamiltonian dynamics. The papers vary
<span>Starting with the basics of Hamiltonian dynamics and canonical transformations, this text follows the historical development of the theory culminating in recent results: the KolmogorovβArnoldβMoser theorem, Nekhoroshev's theorem and superexponential stability. Its analytic approach allows stud