Leonard Euler: addition theorems and superintegrable systems

Details Leonard Euler: addition theorems and superintegrable systems Leonard Euler: addition theorems and superintegrable systems

2008-10-07

arxiv.org/abs/0810.1100v2

Regular and Chaotic Dynamics, v14, n.3, 389-406, 2009

Nonlinear Sciences

Exactly Solvable and Integrable Systems

The text of the talk at International Conference Geometry, Dynamics, Integrable Systems, September 2-7, 2008, Belgrade, Serbia

Scientific paper

10.1134/S1560354709030034

We consider the Euler approach to construction and to investigation of the
superintegrable systems related to the addition theorems. As an example we
reconstruct Drach systems and get some new two-dimensional superintegrable
Stackel systems.

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