Superintegrable cases of four-dimensional dynamical systems

被引:0
|
作者
Oğul Esen
Anindya Ghose Choudhury
Partha Guha
Hasan Gümral
机构
[1] Gebze Technical University,Department of Mathematics
[2] Surendranath College,Department of Physics
[3] Bose National Centre for Basic Sciences,undefined
[4] JD Block,undefined
[5] Australian College of Kuwait,undefined
来源
关键词
first integrals; Darboux polynomials; Jacobi’s last multiplier; 4D Poisson structures; tri-Hamiltonian structures; Shivamoggi equations; generalized Raychaudhuri equations; Lü system and Qi system; 34C14; 34C20;
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学科分类号
摘要
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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页码:175 / 188
页数:13
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