Unstable periodic orbits in the Lorenz attractor

DOI10.1098/rsta.2011.0067zbMath1223.37040OpenAlexW2121587138WikidataQ51573021 ScholiaQ51573021MaRDI QIDQ3095528

Bruce M. Boghosian, Aaron W. Brown, Jonas Latt, L. Fazendeiro, Hui Tang, Peter V. Coveney

Publication date: 3 November 2011

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.2011.0067

zbMATH Keywords

periodic orbitsdynamical systemsLorenz equationsNavier-Stokes

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Incompressible viscous fluids (76D99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Cites Work

• Periodic orbits as the skeleton of classical and quantum chaos
• New variational principles for locating periodic orbits of differential equations
• Real science at the petascale
• The Lorenz attractor exists
• Ergodic theory of chaos and strange attractors
• Deterministic Nonperiodic Flow