Prediction of bifurcations and chaos for an asymmetric elastic oscillator

Abstract The nonlinear chaotic response of a harmonically forced elastic oscillator with quadratic and cubic nonlinearities is studied. The possibility of obtaining reliable prediction of bifurcations and chaos through combined use of stability analysis of low-order approximate solutions and accurate localized point-by-point and cell mapping computer simulations is examined. Some satisfactory results are obtained for the bifurcation predictive capability and the location of regions where chaos actually occurs.

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