DefinePK

Abstract

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.