Hamiltonian Systems, Lyapunov Functions, and Stability

Stephen Lynch ()
Additional contact information
Stephen Lynch: Manchester Metropolitan University, Department of Computing and Mathematics

Chapter 5 in Dynamical Systems with Applications using Maple¿, 2010, pp 113-127 from Springer

Abstract: Aims and Objectives • To study Hamiltonian systems in the plane. • To investigate stability using Lyapunov functions. On completion of this chapter, the reader should be able to • prove whether a system is Hamiltonian; • sketch phase portraits of Hamiltonian systems; • use Lyapunov functions to determine the stability of a critical point; • distinguish between stability and asymptotic stability.

Keywords: Saddle Point; Hamiltonian System; Lyapunov Function; Phase Portrait; Homoclinic Orbit (search for similar items in EconPapers)
Date: 2010
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:978-0-8176-4605-9_6

Ordering information: This item can be ordered from
http://www.springer.com/9780817646059

DOI: 10.1007/978-0-8176-4605-9_6

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 ().