The Bifurcation Diagram of a Piecewise Composite Function

Wan-bo YU, Xiang-xiang WANG, Yu HUANG

Abstract


Bifurcation is a common and significant phenomenon in Nonlinear Science. The bifurcation diagram of a piecewise function which consists of a wavelet and a sine function is discussed in the paper. The diagram shows that one period of some areas evolve directly into three, five, seven, odd periods. Some other areas transit from three periods to four periods by an interval then to five, six, continuously by shorter intervals. This representative bifurcation diagram has not been discovered before.

Keywords


Bifurcation, Piecewise smooth function, Period, Chaos


DOI
10.12783/dtcse/cmsam2017/16386

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