Anomalous diffusion in a microtron and critical structure at chaos boundary

Results on numerical experiments and theoretical analysis of anomalous diffusion chaos-order and chaos-chaos boundary are presented. In the first case the critical index cD ≅ 1/3 is measured and correlation index cA ≅ 1/2 is found, which completely corresponds to the forecast of the resonance theory of critical events in dynamic systems. Confirmation of the basic provision of the theory on super-criticality of the order local parameter in the boundary vicinity on the side of the motion chaotic component is the most important result. 23 refs., 5 figs