Hamilton-Poisson realizations for the Lü system. (English) Zbl 1223.34067

Summary: The Hamilton-Poisson geometry has proved to be an interesting approach for a lot of dynamics arising from different areas like biology, economics, or engineering. The Lü system was first proposed by Lü and Chen as a model of a nonlinear electrical circuit, and it was studied from various points of view. We study it from the mechanical geometry point of view and point out some of its geometrical and dynamical properties.


34C28 Complex behavior and chaotic systems of ordinary differential equations
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