ON BIFURCATIONS OF PERIODIC ORBITS IN DYNAMICAL SYS-TEMS ON A PLANE

Morozov Alexey Valentinovich, Bulekbaev Dastanbek Abdykalykovich

Mathematical models of nonlinear oscillations are considered. Based on nu-merical modeling, bifurcation curves corresponding to the generation of limit orbits from heteroclinic and homoclinic orbits are constructed. This highlights the areas in the parameter space that correspond to stable stationary oscilla-tions. The classical results of A.A. Andronov and E.A. Leontovich were used.

Keywords:oscillations, phase plane, separatrix contour, separatrix loop, stable orbit bi-furcation.