On estimates of the bifurcation values of the parameters of a Lorentz system

DOI10.1070/RM1988v043n03ABEH001766zbMath0717.34044OpenAlexW2068219777MaRDI QIDQ3204792

Gennady Alekseevich Leonov

Publication date: 1988

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1988v043n03abeh001766

zbMATH Keywords

saddle pointLorenz system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

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Further results on ultimate bound on the trajectories of the Lorenz system ⋮ On differences and similarities in the analysis of Lorenz, Chen, and Lu systems ⋮ Necessary and sufficient conditions of the existence of homoclinic trajectories and cascade of bifurcations in Lorenz-like systems: birth of strange attractor and 9 homoclinic bifurcations ⋮ Qualitative analysis of a new Lorenz-type chaotic system and its simulation ⋮ Singular cycles and chaos in a new class of 3D three-zone piecewise affine systems ⋮ On a model of the dynamical systems describing convective fluid motion in rotating cavity ⋮ On the Dynamics of the Chaotic General Lorenz System ⋮ Coexisting singular cycles in a class of three-dimensional three-zone piecewise affine systems

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