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• W2151015655 abstract "In this paper we consider a one-dimensional piecewise linear discontinuous map in canonical form, which may be used in several physical and engineering applications as well as to model some simple financial markets. We classify three different kinds of possible dynamic behaviors associated with the stable cycles. One regime (i) is the same existing in the continuous case and it is characterized by periodicity regions following the period increment by 1 rule. The second one (ii) is the regime characterized by periodicity regions of period increment higher than 1 (we shall see examples with 2 and 3), and by bistability. The third one (iii) is characterized by infinitely many periodicity regions of stable cycles, which follow the period adding structure, and multistability cannot exist. The analytical equations of the border collision bifurcation curves bounding the regions of existence of stable cycles are determined by using a new approach." @default.
• W2151015655 created "2016-06-24" @default.
• W2151015655 creator A5042815471 @default.
• W2151015655 creator A5045586765 @default.
• W2151015655 date "2011-05-01" @default.
• W2151015655 modified "2023-09-23" @default.
• W2151015655 title "Border collision bifurcation curves and their classification in a family of 1D discontinuous maps" @default.
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• W2151015655 doi "https://doi.org/10.1016/j.chaos.2011.02.001" @default.
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