On the global stability of the Lorentz system

DOI10.1016/0021-8928(83)90146-6zbMath0586.34041OpenAlexW2020565611MaRDI QIDQ1071928

Gennady Alekseevich Leonov

Publication date: 1985

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(83)90146-6

zbMATH Keywords

invariant manifoldsHopf bifurcationquasi-periodic solutionexamplefirst order differential equationiterated average system

Mathematics Subject Classification ID

Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (4)

Lyapunov dimension formula for the global attractor of the Lorenz system ⋮ The Tricomi problem on the existence of homoclinic orbits in dissipative systems ⋮ Lyapunov's direct method in the estimation of the Hausdorff dimension of attractors ⋮ Hidden attractors in dynamical systems

Cites Work

• A class of dynamic systems with cylindrical phase spaces
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