Saratov State University, Russsia

Last decade in the series of papers the concept of some special type of dynamic, neither dissipative nor conservative was proposed by Gonchenko et al. It was called "mixed dynamics" and it main feature is the existence of attractor and repeller which intersect but not coinside. The big class of systems with this type of dynamics are systems with symmetry such as the system of phase coupled oscillators proposed by Pikovsky and Topaj. The detailed study of this system was made by Gonchenko, and in this work we study the effect of symmetry breaking on the dynamics.