Relevance of Exponentially Large Time Scales in Practical Applications: Effective Fractal Dimensions in Conservative Dynamical Systems
The problem of evaluating the fractal dimension of a chaotic orbit in a conservative dynamical system is revisited in the light of exponentially large time scales rigorously introduced by recent results of classical perturbation theory. The possible relevance for the problem of comparing theoretical previsions with experimental results in statistical models is pointed out.
KeywordsFractal Dimension Unstable Manifold Invariant Torus Integrable Hamiltonian System Large Time Scale
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