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Regular and Chaotic Dynamics, 2016, Volume 21, Issue 2, Pages 175–188
DOI: https://doi.org/10.1134/S1560354716020039 (Mi rcd73) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Superintegrable Cases of Four-dimensional Dynamical Systems

Oğul Esena, Anindya Ghose Choudhurb, Partha Guhac, Hasan Gümrald

a Department of Mathematics, Gebze Technical University, Gebze-Kocaeli, 41400, Turkey
b Department of Physics, Surendranath College, 24/2 Mahatma Gandhi Road, Calcutta, 700009, India
c Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake, Kolkata, 700098, India
d Australian College of Kuwait, West Mishref, Kuwait
Citations (4)
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DOI: https://doi.org/10.1134/S1560354716020039
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.
Keywords: first integrals, Darboux polynomials, Jacobi’s last multiplier, 4D Poisson structures, tri-Hamiltonian structures, Shivamoggi equations, generalized Raychaudhuri equations, Lü system and Qi system.
Received: 30.10.2015
Accepted: 04.02.2016
Bibliographic databases:
Document Type: Article
MSC: 34C14, 34C20
Language: English
Citation: Oğul Esen, Anindya Ghose Choudhur, Partha Guha, Hasan Gümral, “Superintegrable Cases of Four-dimensional Dynamical Systems”, Regul. Chaotic Dyn., 21:2 (2016), 175–188
Citation in format AMSBIB
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\by O{\u g}ul Esen, Anindya Ghose Choudhur, Partha Guha, Hasan G\"umral
\paper Superintegrable Cases of Four-dimensional Dynamical Systems
\jour Regul. Chaotic Dyn.
\yr 2016
\vol 21
\issue 2
\pages 175--188
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  • https://www.mathnet.ru/eng/rcd73
  • https://www.mathnet.ru/eng/rcd/v21/i2/p175
    • This publication is cited in the following 4 articles:
    1. Martin Šípka, Michal Pavelka, Oğul Esen, Miroslav Grmela, “Direct Poisson neural networks: learning non-symplectic mechanical systems”, J. Phys. A: Math. Theor., 56:49 (2023), 495201  crossref
    2. F Haas, M Kröger, R Schlickeiser, “Multi-Hamiltonian structure of the epidemics model accounting for vaccinations and a suitable test for the accuracy of its numerical solvers”, J. Phys. A: Math. Theor., 55:22 (2022), 225206  crossref
    3. M. I. Ismailov, “Inverse scattering on the half-line for a first-order system with a general boundary condition”, Ann. Henri Poincare, 18:8 (2017), 2621–2639  crossref  mathscinet  zmath  isi  scopus
    4. O. Esen, A. G. Choudhury, P. Guha, “Bi-Hamiltonian structures of 3d chaotic dynamical systems”, Int. J. Bifurcation Chaos, 26:13 (2016), 1650215  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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