Computer calculation for the numerical solution of Duffing's and generalized Duffing's equations shows global scaling properties for the bifurcation in parameter space. These scaling properties are discussed in terms of a one-dimensional map. The analysis based on a piecewise linear approximation gave results in good agreement with the experimentally observed scaling behavior.

• Received 2 May 1983

DOI:https://doi.org/10.1103/PhysRevA.28.1654