Integrability and attractors

DOI10.1016/0960-0779(94)90116-3zbMath0812.34056OpenAlexW1984361874MaRDI QIDQ1342138

Joseph L. McCauley

Publication date: 13 February 1995

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(94)90116-3

zbMATH Keywords

attractorsconservation lawsLorenz modelglobal and local integrabilitylocal Lie method

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Attractors of solutions to ordinary differential equations (34D45) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (3)

Conjugate Lorenz-type chaotic attractors ⋮ Integrability of flows in phase space ⋮ The complicated trajectory behaviors in the Lorenz equation

Cites Work

• Topics in geophysical fluid dynamics: atmospheric dynamics, dynamo theory, and climate dynamics
• Index of a singular point of a vector field, the Petrovskii-Oleinik inequality, and mixed Hodge structures
• The Newton transform: An operational method for constructing integrals of dynamical systems
• Nonintegrable velocities and nonholonomic coordinates
• Lectures on Mechanics
• Deterministic Nonperiodic Flow
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