2003/02/25 by Yee Tat-leung, Tat-leung, Yee, R. Conte +5
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Chaotic Dynamics (nlin.CD) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons #Pattern Formation and Solitons (nlin.PS) #Quantum chaos and dynamical systems #nlin.CD #nlin.PS #nlin.SI
paper · pdf · doi:10.48550/arxiv.nlin/0302056
French. LaTex 2e. IRMA Lectures in Mathematics and Theoretical Physics (de Gruyter, Berlin, to appear in 2003)
arxiv created 2003/02/25 · openalex publication_date 2003/02/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Even if it is nonintegrable, a differential equation may nevertheless admit particular solutions which are globally analytic. On the example of the dynamical system of Kuramoto and Sivashinsky, which is generically chaotic and presents a high physical interest, we review various methods, all based on the structure of singularities, allowing us to characterize the analytic solution which depends on the largest possible number of constants of integration.