Hamiltonian Systems, Lyapunov Functions, and Stability

Stephen Lynch ()
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Stephen Lynch: Loughborough University, Department of Computer Science

Chapter Chapter 14 in Dynamical Systems with Applications Using MATLAB®, 2025, pp 283-299 from Springer

Abstract: Abstract The theory of Hamiltonian (or conservative) systems in the plane is introduced. The differential equations are used to model dynamical systems in which there is no energy loss. Hamiltonian systems are also used extensively when bifurcating limit cycles in the plane (see Chaps. 18 and 19).

Date: 2025
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DOI: 10.1007/978-3-031-89067-3_14

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