Journal
PRAMANA-JOURNAL OF PHYSICS
Volume 54, Issue 5, Pages 751-761Publisher
INDIAN ACADEMY SCIENCES
DOI: 10.1007/s12043-000-0120-3
Keywords
bubbling; bistability; bimodal chaos; 2 parameter 1-d maps
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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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