Dynamical Systems: C.I.M.E. Lectures, Bressanone, Italy, June 1978 |
Contents
Introduction | 2 |
Hyperbolic sets and homoclinic points | 13 |
Homoclinic classes shadowing lemma and hyperbolic | 25 |
Copyright | |
8 other sections not shown
Common terms and phrases
A₁ Anosov Anosov diffeomorphisms assume asymptotic Axiom behavior bifurcation theory Cantor set codimension compact critical point curve defined dense describe diffeomorphisms differential equations dimensional maps dynamical systems eigenvalues equivalence class ergodic example f₂ Figure finite fixed point flow function furcation gives group action Hamiltonian homeomorphism Hopf bifurcation hyperbolic periodic point hyperbolic set implies integrable intersection interval invariant coordinate itinerary kneading sequences lemma linear Lorenz attractor map f Math models neighborhood nonwandering set normal form open set parameter family periodic orbits periodic points perturbations plane points of f Pol equation population proof properties prove rotation number saddle saddle-node singular points Smale space stable and unstable stable periodic orbits structurally stable submanifold subset tangent theorem topological equivalence topologically conjugate trajectories transverse turning point unstable manifolds vector field zero