An experimental bifurcation scenario to low-dimensional homoclinic chaos in the finite amplitude forced dynamics of a sagged cable is characterized in-depth, referring the relevant regular and non-regular dynamics to a canonical scenario from dynamical systems theory. A feedback between experiments and theory allows us to build a consistent phenomenological model: the unfolding of a canonical bifurcation normal form is used to produce an highly degenerated periodically perturbed bifurcation set in an enlarged parameter space where the effects of material damping and forcing asymmetry are evidenced.

Unfolding complex dynamics of sagged cables around a divergence- Hopf bifurcation: experimental results and phenomenological model

ALAGGIO, Rocco;
2009-01-01

Abstract

An experimental bifurcation scenario to low-dimensional homoclinic chaos in the finite amplitude forced dynamics of a sagged cable is characterized in-depth, referring the relevant regular and non-regular dynamics to a canonical scenario from dynamical systems theory. A feedback between experiments and theory allows us to build a consistent phenomenological model: the unfolding of a canonical bifurcation normal form is used to produce an highly degenerated periodically perturbed bifurcation set in an enlarged parameter space where the effects of material damping and forcing asymmetry are evidenced.
9788896378083
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/41820
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