B Nonlinearity of a System

Nonlinearity of a system is reflected in the right-hand sides of the differential equations forming the model corresponding to a reaction kinetics. These differential equations are the rate equations representing the mathematical model of a given chemical scheme. These equations not only incorporate the rate constants (k s) but also how each of the reacting elements enters into one or more reactions. Depending on the form of these interactions between the elements, the nonlinearity of the system can be determined. In turn, this nonlinearity leads to particular types of solutions with different oscillatory as well as nonoscillatory characteristics. 

Nonlinearity of a system also arises from the interaction of an element being a product as well as a controlling factor of any one of the reaction steps preceding this product. If a nonlinearity results, this type of nonlinearity is called a feedback nonlinearity. 

Moreover, the interactions of the elements would also determine the mathematical form of the right-hand side. The forms of nonlinearities used in known models are discussed below and examples are provided. 

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