Mathematics Subject Classification 1991

58Fxx Ordinary differential equations on manifolds; dynamical systems, See also {28D10, 34Cxx, {34Cxx} {54H20}} ( 0 Dok. )

• 58F03 One-dimensional dynamics, general symbolic dynamics, See also {26A18} ( 0 Dok. )
• 58F05 Hamiltonian and Lagrangian systems; symplectic geometry, See also {70Hxx, 81S10} ( 0 Dok. )
• 58F06 Geometric quantization (applications of representation theory), See also {22E45, 81S10} ( 0 Dok. )
• 58F07 Completely integrable systems (including systems with an infinite number of degrees of freedom) ( 0 Dok. )
• 58F08 Point-mapping properties, iterations, completeness; dynamics of cellular automata, See also {26A18, 30D05} ( 0 Dok. )
• 58F09 Morse-Smale systems ( 0 Dok. )
• 58F10 Stability theory ( 0 Dok. )
• 58F11 Ergodic theory; invariant measures, See also {28Dxx} ( 0 Dok. )
• 58F12 Structure of attractors (and repellors) ( 0 Dok. )
• 58F13 Strange attractors; chaos and other pathologies, See Also { 70K50} ( 0 Dok. )
• 58F14 Bifurcation theory and singularities ( 0 Dok. )
• 58F15 Hyperbolic structures (expanding maps, Anosov systems, etc.) ( 0 Dok. )
• 58F17 Geodesic and horocycle flows ( 0 Dok. )
• 58F18 Relations with foliations ( 0 Dok. )
• 58F19 Eigenvalue and spectral problems ( 0 Dok. )
• 58F20 Periodic points and zeta functions ( 0 Dok. )
• 58F21 Limit cycles, singular points, etc. ( 0 Dok. )
• 58F22 Periodic solutions ( 0 Dok. )
• 58F23 Holomorphic dynamics, See also {30D05} ( 0 Dok. )
• 58F25 Flows ( 0 Dok. )
• 58F27 Quasiperiodic flows ( 0 Dok. )
• 58F30 Perturbations ( 0 Dok. )
• 58F32 Functional-differential equations on manifolds ( 0 Dok. )
• 58F35 Invariance properties ( 0 Dok. )
• 58F36 Normal forms ( 0 Dok. )
• 58F37 Correspondences and other transformation methods (e.g. Lie-Backlund) ( 0 Dok. )
• 58F39 Dynamical systems treatment of PDE (should be assigned another number from 58F), See also {35B32, 35K57} ( 0 Dok. )
• 58F40 Applications ( 0 Dok. )
• 58F99 None of the above but in this section ( 0 Dok. )