Hamiltonian Systems, Lyapunov Functions, and Stability

Stephen Lynch
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Stephen Lynch: Manchester Metropolitan University

Chapter Chapter 6 in Dynamical Systems with Applications using Python, 2018, pp 145-161 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 Chapters 10 and 11 ).

Date: 2018
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DOI: 10.1007/978-3-319-78145-7_6

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