BIFURCATION PHENOMENON AND MULTI-STABILITY

Currently, non-linear science has become a hot area of multi-disciplinary research. Oscillatory reaction and multiple steady state are a typical class of non-equilibrium phenomenon which occurs far from equilibrium [1,2], 

A system under suitable condition may switch from one stable A to either of two stable states B and C, on changing some parameter which is called bifurcation parameter. Successive bifurcation can also take place. 

The coexistence between two stable steady states is referred to as bistability. However, it is generally associated with the phenomenon of hysterisis in which a system jumps back and forth between the two brownies of stable states for different critical values from which bifurcation occurs. These phenomena are observed in a number of physical, physiological and biological and social systems. 

A variety of bifurcation phenomena in chemical systems have been discovered during the last few decades [3]. Results have been interpreted in terms of methodology considerably improved and refined by developments in non-linear dynamics. Bifurcation is also quite common in transition from one state to another in biological systems indicated by small change in timing or electrical conductivity. 

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Chapter 8. Bifurcation Phenomenon and Multi-stability which can be simplified to the model reaction system... 

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