Abstract
Elementary applications of singularity theory to dynamical systems are outlined. The main idea is to consider the geometry of the wrinkled surface generated by the time development of a one variable solution as a function of initial conditions or system parameters. Applications of singularity theory to vibro-impacting systems are discussed in some detail and further applications to dynamics are briefly reviewed.
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Whiston, G.S. Critical value sets and dynamical systems. Nonlinear Dyn 2, 335–351 (1991). https://doi.org/10.1007/BF00045668
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DOI: https://doi.org/10.1007/BF00045668