6533b836fe1ef96bd12a08a9

RESEARCH PRODUCT

INTERVAL-BASED TRACING OF STRANGE ATTRACTORS

Sebti FoufouDominique Michelucci

subject

Discrete mathematicsStrongly connected componentApplied MathematicsGraph theoryTracingGeometric methodTheoretical Computer ScienceInterval arithmeticHénon mapComputational MathematicsComputational Theory and MathematicsAttractorInterval (graph theory)Geometry and TopologyMathematics

description

The method described here relies on interval arithmetic and graph theory to compute guaranteed coverings of strange attractors like Hénon attractor. It copes with infinite intervals, using either a geometric method or a new directed projective interval arithmetic.

https://doi.org/10.1142/s0218195906001914