CRITICAL DYNAMICS OF PITCH-FORK BIFURCATION IN A SYSTEM DRIVEN BY A FRACTAL SEQUENCE

We consider the system, exhibiting pitch-fork bifurcation, forced by the external perturbation with fractal properties. Developing a renormalization group approach, we show that the situation is characterized by nonclassical critical exponents. These exponents appear to depend on external influence intensity and we get the analytical expressions for them. Apparently, a new kind of strange nonchaotic attractor arises in the case under consideration.