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.
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References
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Lynch, S. (2014). Hamiltonian Systems, Lyapunov Functions, and Stability. In: Dynamical Systems with Applications using MATLAB®. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-06820-6_12
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DOI: https://doi.org/10.1007/978-3-319-06820-6_12
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