Resonances in the Spring Pendulum: Algorithms for Equivariant Singularity Theory
نویسندگان
چکیده
The spring pendulum in resonance is a model system for formal reduction to one degree of freedom, where some symmetry (reversibility) is maintained. The reduction can be handled by equivariant singularity theory with a distinguished parameter, yielding an integrable approximation of the Poincar e map. This makes a concise description of certain bifurcations possible. The computation of reparametrizations from normal form to the actual system is performed by Grr obner basis techniques.
منابع مشابه
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