Thompson and Gaspar have presented an elegant, simple buckling model, that generates all types of umbilic catastrophes as presented by semi-symmetric bifurcation point. Using Taylor-series approach, Thompson and Gaspar have shown that varying a single fundamental parameter, the model gives in turn the hyperbolic, symbolic, elliptic, parabolic and hyperbolic umbilic catastrophes. In this study we use global solutions to show exactly, how these different types of catastrophes turn from one to another while varying the fundamental parameter.
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