An oscillator with quadratic and cubic nonlinearities representative of the finite forced dynamics of a structural system with initial curvature is considered. Numerical techniques are used to calculate the fixed points of the response, to identify chaotic attractors, to obtain basins of attraction of coexisting solutions. Geometrical analysis of the invariant manifolds of unstable periodic motions in control-phase portraits is performed to understand the global attractor structure and the attractor and basin bifurcations.
Basin bifurcation and chaotic attractor in an elastic oscillator with quadratic and cubic nonlinearities
Rega G.
;Salvatori A.;Benedettini F.
1992
Abstract
An oscillator with quadratic and cubic nonlinearities representative of the finite forced dynamics of a structural system with initial curvature is considered. Numerical techniques are used to calculate the fixed points of the response, to identify chaotic attractors, to obtain basins of attraction of coexisting solutions. Geometrical analysis of the invariant manifolds of unstable periodic motions in control-phase portraits is performed to understand the global attractor structure and the attractor and basin bifurcations.File in questo prodotto:
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