Poincaré Maps and Nonautonomous Systems in the Plane

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

Chapter Chapter 17 in Dynamical Systems with Applications Using MATLAB®, 2025, pp 349-372 from Springer

Abstract: Abstract Poincaré maps are introduced via example using two-dimensional autonomous systems of differential equations. They are used extensively to transform complicated behavior in the phase space to discrete maps in a lower-dimensional space. Unfortunately, this nearly always results in numerical work since analytic solutions can rarely be found.

Date: 2025
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DOI: 10.1007/978-3-031-89067-3_17

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