26 citations · 157 across the 22 of their papers we have counts for
5 papers · 1 filter
Bifurcation of 2-periodic orbits from non-hyperbolic fixed points
Anna Cima, Armengol Gasull, Víctor Mañosa
We introduce the concept of 2-cyclicity for families of one-dimensional maps with a non-hyperbolic fixed point by analogy to the cyclicity for families of planar vector fields with…
Dynamical Classification of a Family of Birational Maps of C^2 via Algebraic Entropy
Anna Cima, Sundus Zafar
This work dynamically classifies a 9-parametric family of birational maps f : C2 -> C2. From the sequence of the degrees dn of the iterates of f, we find the dynamical degree delta…
Zero Entropy for Some Birational Maps of C^2
Anna Cima, Sundus Zafar
This work deals with a special case of family of birational maps f : C2 -> C2 dynamically classified in [9]. In this work we study the zero entropy sub families of f. The sequence…
Invariant Fibrations for some Birational Maps of C^2
Anna Cima, Sundus Zafar
In this article we extract and study the zero entropy subfamilies of a certain family of birational maps of the plane. We find these zero entropy mappings and give the invariant fi…
Parrondo's dynamic paradox for the stability of non-hyperbolic fixed points
Anna Cima, Armengol Gasull, Víctor Mañosa
We show that for periodic non-autonomous discrete dynamical systems, even when a common fixed point for each of the autonomous associated dynamical systems is repeller, this fixed…