A complete bifurcation diagram of nonlocal bifurcations of singular points in the Lorenz system

DOI10.1007/s10598-011-9112-zzbMath1251.37049OpenAlexW1999831408MaRDI QIDQ1762282

D. A. Kaloshin, N. A. Magnitskiĭ

Publication date: 23 November 2012

Published in: Computational Mathematics and Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10598-011-9112-z

zbMATH Keywords

bifurcation diagramLorenz systemheteroclinichomoclinicnonlinear autonomous ODE system

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Cites Work

• Unnamed Item
• On the construction of the homoclinic butterfly bifurcation surface for the Lorenz system
• On the construction of a bifurcation surface of existence of heteroclinic saddle-focus contours in the Lorenz system
• A new view of the Lorenz attractor
• Deterministic Nonperiodic Flow

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