Effects of a low frequency parametric excitation

Abstract The effects of a slowly varying parametric excitation on a shallow arch model are investigated. The delay bifurcation and the sequence of visited equilibria are analyzed. The method of Melnikov and a method proposed by Berglund [Adiabatic dynamical systems and hysteresis, Ph.D. thesis, Institut de Physique Theorique EPRFL, Lausanne, Switzerland, 1998] are used to determine chaotic regions.

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