A series of saddle - node bifurcation and chaotic behavior of a family of a semi-triangular maps

الملخص EN

This paper studies the bifurcations in dynamics of a family of semi-triangular maps S a {S (x) a x x sin( x) : a ϵIR} .

We will prove that this family has a series of Saddle-node bifurcations and a period doubling bifurcation.

Also, we show that for some value of the parameter the functions a S will be chaotic.