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Differentiable Dynamical Systems
What Is Global Analysis?
Stability and Genericity in Dynamical Systems
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The Mathematics of Time: Essays on Dynamical Systems, Economic Processes ...
Limited preview - 2012
1n fact action algebraic Amer Anosov diffeomorphisms Anosov flows attractor Baire set basic set Birkhoff Bowen calculus closed orbits compact manifold condition conjugacy critical point defined dense set Diff(Af Diff(M diffeo diffeomorphisms satisfying dimension Dyn(M dynamical systems economic eigenvalues endomorphisms entropy equilibrium theory ergodic theory example existence expanding finite flow f>t Furthermore geodesic flows geodesies give global analysis homeomorphism homoclinic points hyperbolic fixed point hypothesis lemma Lie group linear Math mathematics mechanics morphism Morse inequalities neighborhood nondegenerate nonwandering points number of periodic open set ordinary differential equations Palis Peixoto periodic orbits periodic points perturbation Poincare preprint problem proof Proposition rational Riemannian manifold Riemannian metric satisfies Axiom satisfying 2.2 shift automorphism Shub Smale solution stable manifold structurally stable subset Suppose theorem Thom Thorn tion topology toral transversality vector fields vector space bundle Zeeman zeta function