Poincaré Maps and Nonautonomous Systems in the Plane

Stephen Lynch
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Stephen Lynch: Manchester Metropolitan University

Chapter Chapter 9 in Dynamical Systems with Applications using Python, 2018, pp 215-243 from Springer

Abstract: Abstract To introduce the theory of Poincaré maps. To compare periodic and quasi-periodic behavior. To introduce Hamiltonian systems with two degrees of freedom. To use Poincaré maps to investigate a nonautonomous system of differential equations. On completion of this chapter, the reader should be able to understand the basic theory of Poincaré maps; plot return maps for certain systems; use the Poincaré map as a tool for studying stability and bifurcations.

Date: 2018
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DOI: 10.1007/978-3-319-78145-7_9

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