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Lorenz equations. II: Randomly rotated homoclinic orbits and chaotic trajectories

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Publication:1576668
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DOI10.3934/dcds.1996.2.121zbMath0949.34034OpenAlexW2014823629MaRDI QIDQ1576668

Xinfu Chen

Publication date: 16 August 2000

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.1996.2.121


zbMATH Keywords

Lorenz equationshomoclinic orbitschaotic trajectories


Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)


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Global invariant manifolds in the transition to preturbulence in the Lorenz system ⋮ Convergence to equilibria in the Lorenz system via monotone methods



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