论文信息 - Topology and mechanics with computer graphics - 字舞流文

Topology and mechanics with computer graphics

The global topology of constant energy surfaces of Hamiltonian systems in four dimensions is investigated using techniques of computer graphics.

David H. Laidlaw | Hüseyin Koçak | Thomas Banchoff | H. Koçak | T. Banchoff | D. Laidlaw | F. Bisshopp | Frederic Bisshopp

[1] S. Smale,et al. Topology and mechanics. II , 1970 .

[2] A. Stokes,et al. A PICTORIAL STUDY OF AN INVARIANT TORUS IN PHASE SPACE OF FOUR DIMENSIONS , 1972 .

[3] Versal normal form at the Lagrange equilibrium L4 , 1986 .

[4] R. Cushman,et al. Reduction of the semisimple 1:1 resonance , 1982 .

[5] Jan Cornelis van der Meer,et al. The Hamiltonian Hopf Bifurcation , 1985 .

[6] V. Arnold,et al. Ordinary Differential Equations , 1973 .

[7] Linear Hamiltonian systems are integrable with quadratics , 1982 .

[8] Normal forms and versal deformations of linear Hamiltonian systems , 1984 .

[9] J. Duistermaat. Bifurcations of periodic solutions near equilibrium points of Hamiltonian systems , 1984 .

[10] R. Cushman. Geometry of the energy momentum mapping of the spherical pendulum , 1983 .

[11] S. Smale,et al. Topology and mechanics. I , 1970 .

[12] Feiner,et al. Dial: A Diagrammatic Animation Language , 1982, IEEE Computer Graphics and Applications.

[13] M. Kummer,et al. On averaging, reduction, and symmetry in hamiltonian systems , 1983 .

[14] W. D. Evans,et al. PARTIAL DIFFERENTIAL EQUATIONS , 1941 .

[15] Ralph Abraham,et al. Foundations Of Mechanics , 2019 .

[16] V. A. Dulock,et al. On the Degeneracy of the Two-Dimensional Harmonic Oscillator , 1965 .

[17] V. Arnold. Mathematical Methods of Classical Mechanics , 1974 .