Abstract: The paper studies catastrophe phenomena,focusing on the form of catastrophe point.Through discussion about the factors that affect the enterprise scope,the paper puts forward the nonlinear normal function of organizational scope of enterprises,explores approximate problem on the function of nonlinear one-dimensional function of organizational scope of enterprises.With the combination of examples and catastrophe theory,the paper studies the difining of folding forms and cusp forms,and it also gives conclusion about the methods of finding of catastrophe points.

Key words: catastrophe theory, catastrophe point, derivative, enterprise scope, nonlinearity, folding form catastrophe, cusp form catastrophe