Integrability of flows in phase space

DOI10.1016/0960-0779(95)00028-3zbMath0907.58032OpenAlexW2078292507MaRDI QIDQ1129328

Joseph L. McCauley

Publication date: 16 August 1998

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

Full work available at URL: https://doi.org/10.1016/0960-0779(95)00028-3

zbMATH Keywords

integrabilityphase spaceholonomic coordinates

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear ordinary differential equations and systems (34A34) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Qualitative theory for ordinary differential equations (34C99)

Cites Work

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• The Newton transform: An operational method for constructing integrals of dynamical systems
• Dynamical systems III. Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by A. Iacob.
• Nonintegrable velocities and nonholonomic coordinates
• Integrability and attractors
• Symmetry and integrable canonical flows

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