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Organizing centers in parameter space of discontinuous 1D maps. The case of increasing/decreasing branches

Laura GardiniViktor AvrutinMichael SchanzAlbert GranadosIryna Sushko — 2012

ESAIM: Proceedings

This work contributes to classify the dynamic behaviors of piecewise smooth systems in which characterize the qualitative changes in the dynamics. A central point of our investigation is the intersection of two border collision bifurcation curves in a parameter plane. This problem is also associated with the continuity breaking in a fixed point of a piecewise smooth map. We will relax the hypothesis needed in [4] where it was proved that in the case...

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