The parameters are γ = 0.22 , ω =1.0, and a = 2.7.

The next figure is a three band attractor of the same dynamical system.

The parameters are γ=1/√15, ω=0.65, and a=0.728.

When the above three band attractor merges, one band attractor appears.

The parameters are γ=1/√15, ω=0.65, and a=0.75.

The bifurcation takes place at about a=0.728384.

Introduction to Chaos and Nonlinear Dynamics