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Lyapunov dimension formulas for Lorenz-like systems

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Publication:334424
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DOI10.1134/S1064562416030285zbMath1368.37033MaRDI QIDQ334424

Gennady Alekseevich Leonov

Publication date: 1 November 2016

Published in: Doklady Mathematics (Search for Journal in Brave)


zbMATH Keywords

global stabilityLyapunov dimension of attractors


Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamics induced by flows and semiflows (37C10)


Related Items

Exact Lyapunov dimension of attractors and convergence for the Lorenz system ⋮ Categorizing Chaotic Flows from the Viewpoint of Fixed Points and Perpetual Points ⋮ Lyapunov functions in the global analysis of chaotic systems ⋮ Dynamical Behaviors of a Modified Lorenz–Stenflo Chaotic System



Cites Work

  • Lyapunov dimension formula for the attractor of the Glukhovsky-Dolzhansky system
  • Formulas for the Lyapunov dimension of attractors of the generalized Lorenz system
  • Local estimates for the Hausdorff dimension of an attractor
  • Lyapunov's direct method in the estimation of the Hausdorff dimension of attractors
  • Deterministic Nonperiodic Flow
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