Hamiltonian dynamics of polygons and integrability

DOI10.1006/jmaa.1996.5185zbMath0873.70010OpenAlexW1978649833MaRDI QIDQ1353813

Michael L. Frankel

Publication date: 4 November 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1996.5185

zbMATH Keywords

moment of inertiacentroidareas of inscribed trianglesdynamics of quadrilateralsgeometrical Hamilton functions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Cites Work

• Quasi-periodic motions of vortex systems
• Integrable and chaotic motions of four vortices. I. The case of identical vortices

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