Routes to chaos in the Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms

@inproceedings{Vitolo2010RoutesTC,
  title={Routes to chaos in the Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms},
  author={Renato Vitolo and Hendrik Sim{\'o} Broer and Carles Sim{\'o}},
  year={2010}
}
Dynamical phenomena are studied near a Hopf-saddle-node bifurcation of fixed points of 3D-diffeomorphisms. The interest lies in the neighbourhood of weak resonances of the complex conjugate eigenvalues. The 1?:?5 case is chosen here because it has the lowest order among the weak resonances, and therefore it is likely to have a most visible influence on the bifurcation diagram. A model map is obtained by a natural construction, through perturbation of the flow of a Poincar??Takens normal form… CONTINUE READING

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