Abstract

Bifurcation from steady states to different types of dissipative structures takes place depending on the bifurcation parameter. The transition takes place at the specific bifurcation point. This chapter deals with phenomenon of bistability, which deals with experimental and mechanistic studies for different types of situations. 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. 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 changes in timing or electrical conductivity.

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