Horseshoes in a biochemical attractor

In this paper a biochemical system the effect of a coupling between two instability-generating mechanisms is analyzed. The dynamics of the biochemical system is studied to show that the biochemical system is chaotic by giving a rigorous verification for existence of horseshoes in the system. Meanwhile, the Poincaré maps derived from these biochemical system are proved to be semi-conjugate to the 2-shift map, whose entropy is no less than log 2.