Bubbling and bistability in two parameter discrete systems

Details Bubbling and bistability in two parameter discrete systems Bubbling and bistability in two parameter discrete systems

2000-01-31

arxiv.org/abs/nlin/0001070v1

Nonlinear Sciences

Chaotic Dynamics

LaTeX v2.09, 14 pages with 4 PNG figures

Scientific paper

We present a graphical analysis of the mechanisms underlying the occurrences
of bubbling sequences and bistability regions in the bifurcation scenario of a
special class of one dimensional two parameter maps. The main result of the
analysis is that whether it is bubbling or bistability is decided by the sign
of the third derivative at the inflection point of the map function.

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