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math.DS2012★ 2 cited
Algebraically integrable quadratic dynamical systems
Victor M. Buchstaber, Elena Yu. Bunkova
We consider in C^n the class of symmetric homogeneous quadratic dynamical systems. We introduce the notion of algebraic integrability for this class. We present a class of symmetri…
math-ph2012
Ordinary differential equations associated with the heat equation
Victor M. Buchstaber, Elena Yu. Bunkova
This paper is devoted to the one-dimensional heat equation and the non-linear ordinary differential equations associated to it. We consider homogeneous polynomial dynamical systems…