Abstract: With Schlögl model as the chemical reaction system characteristic of multi-steady states transition, new dynamic behavior induced by both the diffusion and the heat conduction between this kind of dynamic system and its coupled environment was studied systematically in which the torus-like chemical oscillation along with slow variable is of special importance. Furthermore, a linearized stability analysis for the quasi-steady state is also established. By means of it, the dynamic mechanism dominating the transition from the limit cycle to the torus-like oscillation becomes clear. It is a new kind of chemical oscillation, different from the discontinuous limit cycle oscillation originating from the small parasitic parameters.

Key words: Environmental coupling, Multiple steady state, Slow-manifold, Quasi-steady state, Torus-like chemical oscillation