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One method of constructing positively invariant sets for a Lorenz system

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Publication:1100613
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DOI10.1016/0021-8928(85)90088-7zbMath0641.34047OpenAlexW1988451386MaRDI QIDQ1100613

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(85)90088-7


zbMATH Keywords

homoclinic orbitLorenz systemsaddle pointsseparatrix loop


Mathematics Subject Classification ID


Related Items (2)

The orbital stability of the trajectories of dynamic systems ⋮ Lyapunov's direct method in the estimation of the Hausdorff dimension of attractors



Cites Work

  • The nonlocal reduction method in the theory of absolute stability of nonlinear systems. I
  • The Lorenz equations: bifurcations, chaos, and strange attractors
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