Isothermal oscillations in surface reactions with coverage independent parameters

✍ Scribed by C.G. Takoudis; L.D. Schmidt; R. Aris

• Publisher: Elsevier Science
• Year: 1982
• Tongue: English
• Weight: 579 KB
• Volume: 37
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(82)80068-7

✦ Synopsis

A procedure for obtaining necessary and sufficient conditions for the existence of periodic solutions in surface reactions with constant temperature and coverage independent parameters is described. An analytic method for the analysis of bifurcation to periodic solutions is developed. This formulation, based on the fundamental matrix of a system of ordinary differential equations, provides a simple means of examining the behavior of system in the neighborhood of a singular point. This method is applied into a reaction model which can yield oscillatory solutions with both single and multiple steady states. When a unique steady state becomes unstable, a limit cycle develops. With three steady states, a state may develop into a stable or unstable limit cycle or may exhibit only periodic solutions without a limit cycle.