Superintegrable cases of four-dimensional dynamical systems


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Degenerate tri-Hamiltonian structures of the Shivamoggi and generalized Raychaudhuri equations are exhibited. For certain specific values of the parameters, it is shown that hyperchaotic Lü and Qi systems are superintegrable and admit tri-Hamiltonian structures.

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Oğul Esen

Department of Mathematics

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Email: oesen@gtu.edu.tr
土耳其, Gebze-Kocaeli, 41400

Anindya Choudhury

Department of Physics

Email: oesen@gtu.edu.tr
印度, 24/2 Mahatma Gandhi Road, Calcutta, 700009

Partha Guha

Bose National Centre for Basic Sciences, JD Block

Email: oesen@gtu.edu.tr
印度, Sector III, Salt Lake, Kolkata, 700098

Hasan Gümral

Australian College of Kuwait

Email: oesen@gtu.edu.tr
科威特, West Mishref

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