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arxiv: 1510.05480 · v1 · pith:6ZC33YOVnew · submitted 2015-10-19 · 🧮 math.DS

Superintegrable Cases of Four Dimensional Dynamical Systems

classification 🧮 math.DS
keywords structuressuperintegrablesystemstri-hamiltonianadmitcasescertaindegenerate
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Degenerate tri-Hamiltonian structures of Shivamoggi and generalized Raychaudhuri equations are exhibited. For certain specific values of the parameters, it is shown that hyperchaotic L\"{u} and Qi systems are superintegrable and admit tri-Hamiltonian structures.

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