Bubbling and bistability in two parameter discrete systems
Sujatha, N. V.
Nonlinear Sciences - Chaotic Dynamics
arxiv: Computer Science::Graphics
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.