3 citations · 5 across the 6 of their papers we have counts for
6 papers · 1 filter
Nonsmooth bifurcations in families of one-dimensional piecewise-linear quasiperiodically forced maps
Rafael Martinez-Vergara, Joan Carles Tatjer
We study nonsmooth bifurcations of four types of families of one-dimensional quasiperiodically forced maps of the form for , where is…
Towards a renormalization theory for quasi-periodically forced one dimensional maps III. Numerical Support
Pau Rabassa, Angel Jorba, Joan Carles Tatjer
In a previous work by the authors the one dimensional (doubling) renormalization operator was extended to the case of quasi-periodically forced one dimensional maps. The theory was…
Towards a renormalization theory for quasi-periodically forced one dimensional maps II. Asymptotic behavior of reducibility loss bifurcations
Pau Rabassa, Angel Jorba, Joan Carles Tatjer
In this paper we are concerned with quasi-periodic forced one dimensional maps. We consider a two parametric family of quasi-periodically forced maps such that the one dimensional…
Towards a renormalization theory for quasi-periodically forced one dimensional maps I. Existence of reducibility loss bifurcations
Pau Rabassa, Angel Jorba, Joan Carles Tatjer
We propose an extension of the one dimensional (doubling) renormalization operator to the case of maps on the cylinder. The kind of maps considered are commonly referred as quasi-p…
Numerical evidences of universality and self-similarity in the Forced Logistic Map
Pau Rabassa, Angel Jorba, Joan Carles Tatjer
We explore different families of quasi-periodically Forced Logistic Maps for the existence of universality and self-similarity properties. In the bifurcation diagram of the Logisti…
Period doubling and reducibility in the quasi-periodically forced logistic map
Angel Jorba, Pau Rabassa, Joan Carles Tatjer
We study the dynamics of the Forced Logistic Map in the cylinder. We compute a bifurcation diagram in terms of the dynamics of the attracting set. Different properties of the attra…