Bifurcation and Chaos in plus System of a Kind of Chaotic Signals

摘要

A plus system dynamical model of a kind of chaotic signals is proposed in the field of signal processing and these kind of chaotic signals have a common feature of period doubling bifurcation behaviors. The plus system was consisted of two signals to plus directly. And as the parameter increasing in some range, the bifurcation and attractor diagrams of the plus systems about three simple signals were studied. Then by mathematical induction the bifurcation point sequences relation between the plus system signal and the simple signals were deduced. The numerical experiments and theoretic research illustrated that the new system still had period doubling bifurcation behaviors and exist chaotic states in particular parameter range. Furthermore, their bifurcation points sequence is formed by the minimum value of corresponding bifurcation points of the two simple signals.