INTERVAL-BASED TRACING OF STRANGE ATTRACTORS

DOI10.1142/S0218195906001914zbMath1089.65130OpenAlexW2113266746MaRDI QIDQ5291405

Dominique Michelucci, Sebti Foufou

Publication date: 10 May 2006

Published in: International Journal of Computational Geometry & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218195906001914

zbMATH Keywords

strange attractorsnumerical examplesinterval arithmeticHénon mapstrongly connected componentsdirected projective interval arithmetic

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) General methods in interval analysis (65G40) Numerical nonlinear stabilities in dynamical systems (65P40)

Related Items (2)

Robustness and Randomness ⋮ Rigorous bounds for polynomial Julia sets

Cites Work

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• Robust interval solid modelling. I: Representations.
• Robust interval solid modelling. II: Boundary evaluation.
• A two-dimensional mapping with a strange attractor
• Rigorous chaos verification in discrete dynamical systems
• Robust interval algorithm for surface intersections
• Numerical study of quadratic area-preserving mappings
• Decomposition plans for geometric constraint problems. II: New algorithms

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