So essentially, I am under the impression that if any Ai + B has a period of k, then B will have a period of k as well. For example, -0.2i - 0.5 has a period of 1, hence, -0.5 has a period of 1. Similarly, 0.1i - 1.0 has a period of 2, and -1.0 has a period of 2. How do I prove this correspondence?
Edit: or follow up to this, how do I prove that it only bifurcates (ie. the bifurcation parameter) at a real value?
