Advertisement

Hamiltonian Systems, Lyapunov Functions, and Stability

  • Stephen Lynch
Chapter

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 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Boston 2010

Authors and Affiliations

  1. 1.Department of Computing and MathematicsManchester Metropolitan UniversityManchesterUK

Personalised recommendations