Hamiltonian Systems

  • David Betounes

Abstract

A great many of the dynamical systems: x′ = X (x) that arise in applications are Hamiltonian systems, and are important because of their special structure, as well as the fact that they are related to the dynamics of motion in classical systems (through Newton’s second law). All of the previous theory and techniques apply to Hamiltonian systems, but now there are many additional features of the system, like conservation laws, a symplectic structure, and Poisson brackets, that enable us to study such systems in more detail.

Keywords

Vector Field Hamiltonian System Poisson Bracket Integral Curve Symplectic Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • David Betounes
    • 1
  1. 1.Mathematics DepartmentUniversity of Southern MississippiHattiesburgUSA

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