Bifurcations of a pair of singular cycles

DOI10.1016/S0362-546X(96)00066-1zbMath0880.34036OpenAlexW1978645533WikidataQ127125758 ScholiaQ127125758MaRDI QIDQ4344880

Dongwen Qi

Publication date: 6 January 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(96)00066-1

zbMATH Keywords

bifurcationLorenz equationssingular cyclestransition to turbulencesymbolic system

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Bifurcations of a pair of nonorientable heteroclinic cycles

Cites Work

• Homoclinic twisting bifurcations and cusp horseshoe maps
• Preturbulence: A regime observed in a fluid flow model of Lorenz
• The transition from bursting to continuous spiking in excitable membrane models
• Lorenz attractors through Šil'nikov-type bifurcation. Part I
• Homoclinic Bifurcations with Nonhyperbolic Equilibria
• On a class of semilocal bifurcations of lorenz type
• The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbit
• A degenerate singularity generating geometric Lorenz attractors
• On a class of nonlocal bifurcation concerning the Lorenz attractor
• ON A POINCARÉ-BIRKHOFF PROBLEM
• Invariant manifolds