A Rigorous ODE Solver and Smale’s 14th Problem

2002/01/01 by Warwick Tucker · 8 citations
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Applied mathematics #Attractor #Conjecture #Differential equation #Discrete mathematics #Interval arithmetic #Lorenz system #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematical optimization #Mathematics #Ode #Ordinary differential equation #Quantum chaos and dynamical systems #Solver

paper · pdf · doi:10.1007/s002080010018

crossref issued 2002/01/01 · crossref published 2002/01/01 · crossref published-print 2002/01/01 · openalex publication_date 2002/01/01 · crossref published-online 2014/11/25 · crossref created 2014/12/01 · crossref deposited 2019/05/23 · openalex created_date 2025/10/10 · crossref indexed 2026/07/13 · openalex updated_date 2026/07/29

Citations

• Structural stability of Lorenz attractors
• Metastable chaos: The transition to sustained chaotic behavior in the Lorenz model
• Deterministic Nonperiodic Flow

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• Lorenz system [wikipedia]