Catastrophe in dynamical systems

The way of presentation of the material discussed in Chapter 5 is based on papers of Guckenheimer and on the ideas contained in papers by Stewart. A paper by Nicolis and an article by Othmer in a book published by Field and Burger constitute a very good supplement to these papers. A book by Arnol d (1983), although rather difficult, provides much additional material. The elementary method of analysis of some dynamical catastrophes presented in Section 5.6 is patterned after ArnoPd s approach to the Hopf bifurcation in the van der Pol system described in his book (1975). A book by Gilmore provides basic information on catastrophes in dynamical systems. A paper by Stewart contains another proof (compared to Section 5.5) that Hopf bifurcation is an elementary catastrophy. 

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