Lyapunov dimension formula for the attractor of the Glukhovsky-Dolzhansky system

DOI10.1134/S1064562416010154zbMath1361.37029MaRDI QIDQ294324

Tim N. Mokaev, Gennady Alekseevich Leonov

Publication date: 16 June 2016

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

zbMATH Keywords

attractorsLorenz systemGlukhovsky-Dolzhansky systemLyapunov dimension

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Attractors of solutions to ordinary differential equations (34D45) Dimension theory of smooth dynamical systems (37C45)

Related Items (4)

Lyapunov dimension formulas for Lorenz-like systems ⋮ On a simple model for describing convection of the rotating fluid: integrability, bifurcations and global dynamics ⋮ Categorizing Chaotic Flows from the Viewpoint of Fixed Points and Perpetual Points ⋮ Lyapunov functions in the global analysis of chaotic systems

Cites Work

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• TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS
• Maximum local Lyapunov dimension bounds the box dimension of chaotic attractors

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