Abstract
Aims and Objectives
• To introduce the theory of Poincaré maps.
• To compare periodic and quasiperiodic 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.
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Lynch, S. (2014). Poincaré Maps and Nonautonomous Systems in the Plane. In: Dynamical Systems with Applications using MATLAB®. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-06820-6_15
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DOI: https://doi.org/10.1007/978-3-319-06820-6_15
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-06819-0
Online ISBN: 978-3-319-06820-6
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