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.
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© 2010 Birkhäuser Boston
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Lynch, S. (2010). Hamiltonian Systems, Lyapunov Functions, and Stability. In: Dynamical Systems with Applications using Maple¿. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4605-9_6
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DOI: https://doi.org/10.1007/978-0-8176-4605-9_6
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Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4389-8
Online ISBN: 978-0-8176-4605-9
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