Bounds on the dissipation in the Lorenz system

DOI10.1016/J.PHYSLETA.2004.03.078zbMath1165.34354OpenAlexW2059406297MaRDI QIDQ2479082

Nicolas Pétrélis, F. Pétrélis

Publication date: 26 March 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2004.03.078

zbMATH Keywords

low dimensional chaosbounds on the dissipation

Mathematics Subject Classification ID

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

Related Items (5)

Transport bounds for a truncated model of Rayleigh-Bénard convection ⋮ Hamiltonian-Based Energy Analysis for Brushless DC Motor Chaotic System ⋮ Localization of compact invariant sets of the Lorenz system ⋮ Maximal transport in the Lorenz equations ⋮ ENERGY-LIKE FUNCTIONS FOR SOME DISSIPATIVE CHAOTIC SYSTEMS

Cites Work

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• The Lorenz equations: bifurcations, chaos, and strange attractors
• Integrals of motion and the shape of the attractor for the Lorenz model
• From global scaling, à la Kolmogorov, to local multifractal scaling in fully developed turbulence
• Periodic Solutions and Bifurcation Structure at High R in the Lorenz Model
• Applied Analysis of the Navier-Stokes Equations
• Bounds for turbulent shear flow

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