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.
2009
9788896378083
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/41820
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact