M. V. Dolov, Chistyakova S.A., “On limit cycles of dynamical systems with nonlinearities of fourth order and invariant curves of elliptic type”, Trudy SVMO, 2009, Volume 11, Number 1,Pages <nobr>63

In Middle Volga Mathematical Society

On limit cycles of dynamical systems with nonlinearities of fourth order and invariant curves of elliptic type

M. V. Dolov, Chistyakova S.A.

N. I. Lobachevski State University of Nizhni Novgorod

Abstract: For polynomial vector fields of fourth order we exhibit coefficient conditions for the existence of three limit cycles in the form of circumferences, two of which are concentric.

Keywords: systems of ODEs, invariant curves, limit cycles.

UDC: 517.925

Received: 19.03.2009