共 20 条
[1]
Fomenko A. T.(1987)The topology of surfaces of constant energy in integrable Hamiltonian systems, and obstructions to integrability Math. USSR Izv. 29 629-658
[2]
Fomenko A. T.(1987)“On the topology of the three-dimensional manifolds arising in Hamiltonian mechanics,” Sov. Math Dokl. 35 529-534
[3]
Zieschang H.(1988)Constant energy surfaces of Hamiltonian systems, enumeration of three-dimensional manifolds in increasing order of complexity, and computation of volumes of closed hyperbolic manifolds Russ. Math. Surv. 43 3-24
[4]
Matveev S. V.(1989)On typical topological properties of integrable Hamiltonian systems Math. USSR Izv. 32 385-412
[5]
Fomenko A. T.(2015)The Chaplygin case in dynamics of a rigid body in fluid is orbitally equivalent to the Euler case in rigid body dynamics and to the Jacobi problem about geodesics on the ellipsoid J. Geom. Phys. 87 115-133
[6]
Fomenko A. T.(2012)New approach to symmetries and singularities in integrable Hamiltonian systems Topol. Its Appl. 159 1964-1975
[7]
Tsishang Kh.(2012)Symmetries groups of nice Morse functions on surfaces Dokl. Math. 86 691-693
[8]
Fomenko A. T.(2008)Maximally symmetric cell decompositions of surfaces and their coverings Sb. Math. 199 1263-1353
[9]
Nikolaenko S. S.(2002)On a ball’s rolling on a horizontal plane Regular Chaotic Dyn. 7 131-148
[10]
Fomenko A. T.(2001)Chaplygin’s ball rolling problem is Hamiltonian Maht. Notes 70 720-723