Critical value sets and dynamical systems |
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| Authors: | G S Whiston |
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| Institution: | (1) National Power Technology and Environmental Centre, Kelvin Avenue, Leatherhead, Surrey, U.K. |
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| 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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| Keywords: | Non-linear oscillation critical values singularities impacting |
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