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Hyperbolic dynamics of discrete dynamical systems on pseudo-riemannian manifolds

Hyperbolic dynamics of discrete dynamical systems on pseudo-riemannian manifolds

We consider a discrete dynamical system on a pseudo-Riemannian manifold and we determine the concept of a hyperbolic set for it. We insert a condition in the definition of a hyperbolic set which implies to the unique decomposition of a part of tangent space (at each point of this set) …