单词 | Axiom A Diffeomorphism |
释义 | Axiom A DiffeomorphismLet In some cases, Axiom A can be replaced by the condition that the Diffeomorphism is a hyperbolic diffeomorphismon a hyperbolic set (Bowen 1975, Parry and Pollicott 1990). See also Anosov Diffeomorphism, Axiom A Flow, Diffeomorphism, Dynamical System, Riemannian Manifold,Smale Horseshoe Map
Bowen, R. Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms. New York: Springer-Verlag, 1975. Ott, E. Chaos in Dynamical Systems. New York: Cambridge University Press, p. 143, 1993. Parry, W. and Pollicott, M. ``Zeta Functions and the Periodic Orbit Structure of Hyperbolic Dynamics.'' Astérisque No. 187-188, 1990. Smale, S. ``Differentiable Dynamical Systems.'' Bull. Amer. Math. Soc. 73, 747-817, 1967. |
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