### Symmetric quadratic dynamical systems

**Buchstaber , V M ***(Steklov Mathematical Institute, Moscow)*

Wednesday 14 November 2012, 16:30-17:30

Seminar Room 1, Newton Institute

#### Abstract

We will discuss dynamical systems that arise in classical and modern problems of mathematics, mechanics and biology. For such systems we introduce the notion of algebraic integrability. We will describe a wide class of algebraically integrable systems. This class contains Kovalevskaya, Lotka-Volterra type, and Darboux-Halphen systems and modern generalizations of these systems.

#### Presentation

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