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：
Regular and Chaotic Dynamics | 2016年 / 21卷
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;
D O I：
暂无
中图分类号：
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.
引用
收藏
页码：175 / 188
页数：13
相关论文
共 33 条
  • [31] Limit cycles of 3-dimensional discontinuous piecewise differential systems formed by linear centers
    LLibre, Jaume
    de Moraes, Jaime R.
    SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2021, 15 (02): : 858 - 874
  • [32] Quadratic three-dimensional differential systems having invariant planes with total multiplicity nine
    Llibre J.
    Messias M.
    Reinol A.C.
    Rendiconti del Circolo Matematico di Palermo Series 2, 2018, 67 (3): : 569 - 580
  • [33] Comparison of Noether Symmetries and First Integrals of Two-Dimensional Systems of Second Order Ordinary Differential Equations by Real and Complex Methods
    Safdar, Muhammad
    Qadir, Asghar
    Farooq, Muhammad Umar
    SYMMETRY-BASEL, 2019, 11 (09): : 1 - 12
1234