A V Vershilov, A V Tsiganov, “On bi-Hamiltonian geometry of some integrable systems on the sphere with cubic integral of motion”, J. Phys. A: Math. Theor., 42, no. 10, 2009, 105203
Andrey V. Tsiganov, Vitaly A. Khudobakhshov, “Integrable systems on the sphere associated with genus three algebraic curves”, Regul. Chaot. Dyn., 16, no. 3-4, 2011, 396
H W Braden, V Z Enolski, Yu N Fedorov, “Dynamics on strata of trigonal Jacobians and some integrable problems of rigid body motion”, Nonlinearity, 26, no. 7, 2013, 1865
Misha Bialy, Andrey E Mironov, “Cubic and quartic integrals for geodesic flow on 2-torus via a system of the hydrodynamic type”, Nonlinearity, 24, no. 12, 2011, 3541
Andrey V. Tsiganov, “Integrable Systems on a Sphere, an Ellipsoid and a Hyperboloid”, Regul. Chaot. Dyn., 28, no. 6, 2023, 805
A. V. Tsiganov, “Abel’s theorem and Bäcklund transformations for the Hamilton-Jacobi equations”, Proc. Steklov Inst. Math., 295, no. 1, 2016, 243
A V Tsiganov, “A new integrable system onS2with the second integral quartic in the momenta”, J. Phys. A: Math. Gen., 38, no. 16, 2005, 3547
A V Tsiganov, “On natural Poisson bivectors on the sphere”, J. Phys. A: Math. Theor., 44, no. 10, 2011, 105203
H. M. Yehia, A. A. Elmandouh, “Integrable 2D Time-Irreversible Systems with a Cubic Second Integral”, Advances in Mathematical Physics, 2016, 2016, 1
Miguel A. Rodríguez, Piergiulio Tempesta, Pavel Winternitz, “Reduction of superintegrable systems: The anisotropic harmonic oscillator”, Phys. Rev. E, 78, no. 4, 2008, 046608