TWO QUITE SIMILAR MATRIX ODES AND THE MANY-BODY PROBLEMS RELATED TO THEM

DOI10.1142/S021988781260002XzbMath1387.70012MaRDI QIDQ2911914

Francesco Calogero

Publication date: 3 September 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

integrable dynamical systemsintegrable Newtonian many-body problemsisochronous dynamical systemssolvable dynamical systemssolvable Newtonian many-body problems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10)

Related Items (1)

Equilibria of a solvable N-body problem and related properties of the N numbers x _n at which the Jacobi polynomial of order N has the same value

Cites Work

• Extension of the class of integrable dynamical systems connected with semisimple Lie algebras
• A new class of integrable systems and its relation to solitons
• Three integrable Hamiltonian systems connected with isospectral deformations
• Integrable ODEs on associative algebras
• An integrable many-body problem
• Two New Solvable Dynamical Systems of Goldfish Type
• Isochronous Systems

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