Numerical simulation of formation and evolution of dissipative breathers of the classical Heisenberg antiferromagnet model

In the present paper we conduct numerical simulation of the breather (soliton-like) solutions of classical Heisenberg antiferromagnetic acted upon by the variable external electromagnetic fields pumping and dissipation. The numerical recipe of simulation on the basic of stereograflie projection is suggested avoiding singularities on the poles of the Bloch sphere. Parameters of regime of formation of dissipative breathers are determined.