Symmetric quadratic dynamical systems
Seminar Room 1, Newton Institute
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.