Incertidumbre clásica y estructuras fractales en física.

Jacobo Aguirre, Miguel Ángel Fernández Sanjuán


The Hénon-Heiles hamiltonian system is studied in the context of chaotic scattering, for a range of energies where escapes of particles are possible. By using computational techniques, its invariant manifolds are analyzed, and it is shown that its fractal basins have the property of Wada. This strange property, of topological nature, is verified when. a set shares its boundary with at least three other sets, and it supposes a higher limitation to our capacity for prediction than in the case rhat the boundaries are simply fractal. This system shows the intrinsic uncertainty in a simple physical system of clasical nature

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