Hamiltonian Systems, Lyapunov Functions, and Stability

Stephen Lynch
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Stephen Lynch: Manchester Metropolitan University School of Computing, Mathematics & Digital Technology, Department of Computing and Mathematics

Chapter Chapter 12 in Dynamical Systems with Applications using MATLAB®, 2014, pp 249-263 from Springer

Abstract: 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 or not 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: Hamiltonian System; Lyapunov Function; Phase Portrait; Homoclinic Orbit; Solution Curve (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-06820-6_12

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DOI: 10.1007/978-3-319-06820-6_12

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