Complex Singularities and the Lorenz Attractor

DOI10.1137/090753474zbMath1202.34153arXiv0901.4968OpenAlexW2051316108MaRDI QIDQ3578082

Sonmez Sahutoglu, Divakar Viswanath

Publication date: 13 July 2010

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.4968

zbMATH Keywords

complex singularitiesLorenz attractorpsi series

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

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Numerical analytic continuation ⋮ High-precision continuation of periodic orbits ⋮ High-precision computation: mathematical physics and dynamics ⋮ New analytic approximations based on the Magnus expansion ⋮ THE NONEQUIVALENCE AND DIMENSION FORMULA FOR ATTRACTORS OF LORENZ-TYPE SYSTEMS ⋮ On completeness of quadratic systems ⋮ Exact solutions to a nonlinear partial differential equation: the Product-of-Curvatures Poisson \((u_{x x} u_{y y} = 1)\) ⋮ High-precision arithmetic in mathematical physics

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