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83 p, 5.0 MB The period adding and incrementing bifurcations: from rotation theory to applications / Granados, Albert (Technical University of Denmark. Department of Applied Mathematics and Computer Science) ; Alsedà i Soler, Lluís (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Krupa, Maciej (Inria Sophia-Antipolis Research Center (França))
This survey article is concerned with the study of bifurcations of piecewise-smooth maps. We review the literature in circle maps and quasi-contractions and provide paths through this literature to prove sufficient conditions for the occurrence of two types of bifurcation scenarios involving rich dynamics. [...]
2017 - 10.1137/140996598
SIAM Review, Vol. 59 Núm. 2 (2017) , p. 225-292  

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