At the other side of a saddle-node |
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| Authors: | M Misiurewicz A L Kawczyński |
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| Institution: | (1) Institute of Mathematics, Warsaw University, PKiNIX p., PL-00-901 Warszawa, Poland;(2) Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, PL-01-224 Warszawa, Poland |
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| Abstract: | We describe phenomena occurring just before a saddle-node bifurcation for one-parameter families of interval maps. In particular, as a parameter approaches the bifurcation value, attracting periodic orbits of periodsk, k+1,k+2,k+3,... can appear. We make a detailed study of a family of  cusp-shaped maps, where this phenomenon occurs in a pure form. |
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