Holes

Ralph H. Abraham, Laura Gardini and Christian Mira
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Ralph H. Abraham: University of California Santa Cruz
Laura Gardini: Universitá di Urbino, Instituto di Scienze Economiche
Christian Mira: Institut National des Sciences Appliquees de Toulouse, Dept. of Control Engineering

Chapter Chapter 5 in Chaos in Discrete Dynamical Systems, 1997, pp 59-83 from Springer

Abstract: Abstract We have already encountered holes in the Case 1 of the first map family treated at the end of the preceding chapter (see Figure 4–17). We now change the parameter a from 0.7 to 1.0, obtaining Case 2 of the first map family, in which the bifurcations involving holes are somewhat clearer. This change eliminates the repelling 2-cycle, {Q1, Q2}. As before, the fixed point Q becomes a repelling focus, but the fixed point P is now a saddle.1

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-1936-1_5

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DOI: 10.1007/978-1-4612-1936-1_5

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