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Global Theory of Dynamical Systems: Proceedings of an International ...
Z. Nitecki,C. Robinson
Limited preview - 2006
2-chain Amer annulus Anosov Anosov diffeomorphisms attractor automorphism boundary bounded closed orbits components condition conjecture conjugacy conjugate construct contains coordinates Corollary corresponding curves defined definition denote diffeomorphism differential equations disjoint dynamical systems eigenvalues equivalent ergodic ergodic theory example exists f-covers Figure finite fixed point flow foliation foliation cycle follows function geodesic fields given hence homeomorphism Hopf bifurcation hyperbolic sectors implies induced integer intersection interval invariant set isolated Lemma linear linked twist mappings Lyapunov function Math matrix measure minimal Morse Morse-Smale neighborhood non-zero nonsingular parabolic parameter periodic orbits periodic point perturbation Poincare point of period polynomial proof of Theorem properties Proposition repellor Riemannian metric satisfying Seifert conjecture separatrices sequence singularity Smale smooth solid torus solutions space stable manifold subset Suppose tangent theory topological entropy topologically conjugate topologically hyperbolic toral transverse unstable foliations vector field vertical zero