Bubbling and bistability in two parameter discrete systems

G AMBIKA and N V SUJATHA

Department of Physics, Maharajas College, Cochin 682 011, India

Abstract.

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.

Keywords: Bubbling; bistability; bimodal chaos; 2 parameter 1-d maps.

Pacs No.:05.45.+b; 05.40.+j

 

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