Discovery of closed orbits of dynamical systems with the use of computers

DOI10.1007/BF01014428zbMath0509.34024OpenAlexW2049016607MaRDI QIDQ1838059

Elena B. Vul, Yakov G. Sinai

Publication date: 1980

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01014428

zbMATH Keywords

stable manifoldLorenz modelclosed orbitsstochastic attractorgeneral criterionPoincare mappinglinear system of equations in variations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamical systems and ergodic theory (37-XX)

Related Items

On the construction of Lyapunov functions with computer assistance ⋮ NUMERICAL VERIFICATION METHODS FOR SOLUTIONS OF ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS ⋮ The study of periodic orbits of dynamical systems. The use of a computer ⋮ Hyperbolicity conditions for the Lorenz model ⋮ PERIODIC ORBITS IN THE NEWTON–LEIPNIK SYSTEM

Cites Work

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