Abstract
A new global representation of a general solution and Poincare mapping from local exact solutions for impact oscillators is proposed. A general solution can be globally represented by the form of superposition of linear system responses and pseudo-feedback responses. According to this formulation, Poincare mapping can be expressed in a global analytical form depending on impact time parameters. By comparing the results through this method with those obtained by numerical simulations, the validity of the proposed method is confirmed.
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