Automatic Extraction and Characterization of Structures in Area-preserving Maps

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چکیده

Many natural phenomena found in various areas, such as orbital mechanics, fluid dynamics or quantum mechanics, can be described in terms of Hamiltonian dynamics. Multi-dimensional Hamiltonian systems often exhibit chaotic behaviour, which makes their analysis difficult. The use of surfaces of sections, such as a Poincaré return map, is commonly employed to get insight into the phase space of dynamical systems, which present both, regular and chaotic behaviour.

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تاریخ انتشار 2012