Topological chaos in the two-gene Andrecut-Kauffman model

The paper’s Theorem 4.1 proves topological chaos for the 2D Andrecut–Kauffman system by restricting to the invariant diagonal, invoking the interval result that an odd (i.e., non–power-of-2) period implies positive topological entropy, and then using monotonicity of entropy from subsystem to system. The candidate solution follows the same blueprint: (i) show the diagonal is invariant and conjugate to the 1D map T_{m,a,b}, (ii) apply Misiurewicz’s interval criterion, and (iii) pass entropy to the full system. Aside from minor presentational differences (the model makes the conjugacy explicit), the arguments coincide and are correct (see the model definition and diagonal invariance in section 2 of the paper, Proposition 3.1 on entropy monotonicity, and Theorem 3.1/4.1 establishing the criterion and its use).