Germ-typicality of the coexistence of infinitely many sinks

In the spirit of Kolmogorov typicality, we introduce notion germ-typicality: in a space dynamics, it encompasses all these phenomena that occur for dense and open subset parameters any generic parametrized family contained an set systems. For 2≤r<∞, prove Newhouse phenomenon (the coexistence infinitely many sinks) is locally Cr-germ-typical, nearby dissipative bicycle: homoclinic tangency linked to special heterodimensional cycle. During proof show result independent interest: stabilization some cycles regularity class r∈{1,…,∞}∪{ω} by introducing new renormalization scheme. We also continue study paradynamics done [6], [7], [1] parablenders appear unfolding cycles.