CAPD::DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systems

The paper rigorously establishes, via a reversible Poincaré-map sign-change argument validated by computer-assisted bounds, that for every c in C = [1 − 1/128, 1 + 1/128] the Michelson system has at least two R-symmetric periodic orbits. The model proposes a different continuation-based route (hyperbolicity at c=1 plus Implicit Function Theorem), but does not supply a validated parameter corridor ensuring persistence across the entire interval C; its cited sources do not substantiate that corridor for these two orbits near c=1. Thus, the paper’s claim is correct and complete, while the model’s proof is incomplete for lack of the key quantitative continuation bound.