The study of periodic orbits of dynamical systems. The use of a computer

DOI10.1007/BF01010424zbMath0624.65071OpenAlexW2115021875MaRDI QIDQ578863

Salvatore De Gregorio

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf01010424

zbMATH Keywords

Newton methodfundamental matrix solutionPoincaré mapLorenz modelround-off errorsintegration errorsperiodic orbits of nonquadratic dynamical systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Numerical methods for initial value problems involving ordinary differential equations (65L05) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Cites Work

• A five-dimensional truncation of the plane incompressible Navier-Stokes equations
• Discovery of closed orbits of dynamical systems with the use of computers

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