Hamiltonian Systems

David Betounes ()
Additional contact information
David Betounes: University of Southern Mississippi, Mathematics Department

Chapter Chapter 11 in Differential Equations: Theory and Applications, 2001, pp 541-588 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 2001
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4757-4971-7_11

Ordering information: This item can be ordered from
http://www.springer.com/9781475749717

DOI: 10.1007/978-1-4757-4971-7_11

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().