Superintegrable cases of four-dimensional dynamical systems


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Abstract

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.

About the authors

Oğul Esen

Department of Mathematics

Author for correspondence.
Email: oesen@gtu.edu.tr
Turkey, Gebze-Kocaeli, 41400

Anindya Ghose Choudhury

Department of Physics

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

Partha Guha

Bose National Centre for Basic Sciences, JD Block

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

Hasan Gümral

Australian College of Kuwait

Email: oesen@gtu.edu.tr
Kuwait, West Mishref

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