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Hamiltonian Systems

In: Differential Equations: Theory and Applications

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  • David Betounes

    (University of Southern Mississippi, Mathematics Department)

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.

Suggested Citation

  • David Betounes, 2001. "Hamiltonian Systems," Springer Books, in: Differential Equations: Theory and Applications, chapter 0, pages 541-588, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4757-4971-7_11
    DOI: 10.1007/978-1-4757-4971-7_11
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