On a class of nonlocal bifurcation concerning the Lorenz attractor

DOI10.1007/BF02109392zbMath0844.58066MaRDI QIDQ4868043

Dongwen Qi

Publication date: 29 August 1996

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

zbMATH Keywords

symbolic dynamicsfixed point theoremproduct spaceSil'nikov variable

Mathematics Subject Classification ID

Low-dimensional dynamical systems (37E99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (2)

Bifurcations of a pair of singular cycles ⋮ Bifurcations of a pair of nonorientable heteroclinic cycles

Cites Work

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• The Sil'nikov problem, exponential expansion, strong \(\lambda\)-lemma, \(C^ 1\)-linearization, and homoclinic bifurcation
• Structural stability of Lorenz attractors
• Preturbulence: A regime observed in a fluid flow model of Lorenz
• Dynamics retrospective: Great problems, attempts that failed
• Lorenz attractors through Šil'nikov-type bifurcation. Part I
• Homoclinic bifurcation to a transitive attractor of Lorenz type
• On a class of semilocal bifurcations of lorenz type
• A degenerate singularity generating geometric Lorenz attractors
• ON A POINCARÉ-BIRKHOFF PROBLEM

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