1989 | OriginalPaper | Buchkapitel
Poincaré Maps
verfasst von : Thomas S. Parker, Leon O. Chua
Erschienen in: Practical Numerical Algorithms for Chaotic Systems
Verlag: Springer New York
Enthalten in: Professional Book Archive
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A classical technique for analyzing dynamical systems is due to Poincaré. It replaces the flow of an nth-order continuous-time system with an (n − 1)th-order discrete-time system called the Poincaré map. The definition of the Poincaré map ensures that its limit sets correspond to limit sets of the underlying flow. The Poincaré map’s usefulness lies in the reduction of order and the fact that it bridges the gap between continuous- and discrete-time systems.