New Scenario to Chaos Transition in the Mappings with Discontinuities
  We consider a many-parametric piecewise mapping with discontinuity. That is a one dimensional model of singular dynamic system. The stability boundary are calculated analytically and numerically. New typical features of stable cycle structures and scenario to chaos transition provoked by discontinuity are found. 
S.V. Naydenov, A.V. Tur, A.V. Yanovsky, V.V. Yanovsky