Beyond Hyperbolicity
نویسندگان
چکیده
منابع مشابه
Hyperbolicity of the family $f_c(x)=c(x-frac{x^3}{3})$
The aim of this paper is to present a proof of the hyperbolicity of the family $f_c(x)=c(x-frac{x^3}{3}), |c|>3$, on an its invariant subset of $mathbb{R}$.
متن کاملSemi-hyperbolicity and Hyperbolicity
We prove that for C1-diffeomorfisms semi-hyperbolicity of an invariant set implies its hyperbolicity. Moreover, we provide some exact estimations of hyperbolicity constants by semi-hyperbolicity ones, which can be useful in strict numerical computations.
متن کاملTitle of dissertation: BEYOND ORIENTABILITY AND COMPACTNESS: NEW RESULTS ON THE DYNAMICS OF FLAT SURFACES
Title of dissertation: BEYOND ORIENTABILITY AND COMPACTNESS: NEW RESULTS ON THE DYNAMICS OF FLAT SURFACES Rodrigo Treviño, Doctor of Philosophy, 2012 Dissertation directed by: Professor Giovanni Forni Department of Mathematics In the first part, we prove the non-uniform hyperbolicity of the KontsevichZorich cocycle for a measure supported on abelian differentials which come from nonorientable q...
متن کاملSmooth hyperbolicity cones are spectrahedral shadows
Hyperbolicity cones are convex algebraic cones arising from hyperbolic polynomials. A well-understood subclass of hyperbolicity cones is that of spectrahedral cones and it is conjectured that every hyperbolicity cone is spectrahedral. In this paper we prove a weaker version of this conjecture by showing that every smooth hyperbolicity cone is the linear projection of a spectrahedral cone, that ...
متن کاملar X iv : m at h . D S / 06 01 70 1 v 1 28 J an 2 00 6 HYPERBOLICITY VERSUS PARTIAL - HYPERBOLICITY AND THE TRANSVERSALITY - TORSION PHENOMENON
— In this paper, we describe a process to create hyperbolicity in the neighbourhood of a homoclinic orbit to a partially hyperbolic torus for three degrees of freedom Hamiltonian systems: the transversality-torsion phenomenon. keywords: Hyperbolicity, Partially hyperbolic tori, Hamiltonian systems.
متن کامل