On infinite homoclinic orbits induced by unstable periodic orbits in the Lorenz system

DOI10.1063/5.0044161zbMath1469.37016OpenAlexW3148615883MaRDI QIDQ4989092

Albert C. J. Luo, Siyu Guo

Publication date: 20 May 2021

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0044161

zbMATH Keywords

periodic orbitsLorenz systemhomoclinic orbits

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Computational methods for bifurcation problems in dynamical systems (37M20) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Computational methods for invariant manifolds of dynamical systems (37M21)

Related Items (1)

A family of periodic motions to chaos with infinite homoclinic orbits in the Lorenz system

Cites Work

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