S. Treskov

collaborators

2 papers

math.DS2014

Phase Portraits of Polynomial Systems Satisfying the Caushy - Riemann Conditions

E. P. Volokitin, S. A. Treskov, V. V. Cheresiz

We study plane quadratic and cubic differential systems satisfying the Caushy - Riemann conditions. We construct all global topologically equivalent phase portraits of the systems.

math.DS2009

A global mathematical investigation of a predator-prey model

S. A. Treskov, E. P. Volokitin

We construct a global bifurcation diagram of the plane differential system $l x ˙ = x (1 - x) - x y / (a + x^{2}), y ˙ = y (δ - β y / x), x (t) > 0, y (t) > 0, a > 0, δ > 0, β > 0,$ which describes…