Homoclinic tangencies, generating partitions and curvature of invariant manifolds

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Abstract
A method to compute the curvature of the unstable manifold is introduced and applied to Henon map and Duffing attractor, showing that it allows the authors to locate the homoclinic tangencies and, in turn, to construct a generating partition. The probability distribution of curvature-values is investigated, showing a power-law decay. Finally, the shape of the multifractal spectrum of effective Liapunov exponents in nonhyperbolic systems is discussed.