2 problems

Consider the discrete map $f\colon\mathbb{R}^4\to\mathbb{R}^4$ given by … where $\alpha<0$, $\tilde\alpha>0$, $\beta>0$, and $\gamma\ne0$. Periodic-point non-density conjecture. Th…

Nonchaoticity conjecture. The map is not chaotic in the sense of Devaney, since it has the same set of fixed points and similar sets of periodic points as the corresponding map wit…