Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 2001 · 40 citations · 10 references
Natural SciencesMathematicsDynamical SystemsTopologyChaos TheoryDifferential TopologyGeometric TopologyHomology TheoryHomotopy TheoryChaotic AttractorsChaotic Dynamics
We report the analysis of branched manifolds through homologies, in order to extend the range of applicability of the topological approach to the analysis of chaotic data. Analytic and numerical cases are discussed.
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