4 citations · 5 across the 2 of their papers we have counts for
5 papers · 1 filter
A dynamic Parrondo's paradox for continuous seasonal systems
Anna Cima, Armengol Gasull, Víctor Mañosa
We show that planar continuous alternating systems, which can be used to model systems with seasonality, can exhibit a type of Parrondo's dynamic paradox, in which the stability of…
Phase portraits of random planar homogeneous vector fields
Anna Cima, Armengol Gasull, Víctor Mañosa
We study the phase portraits with positive probability of random planar homogeneous vector fields of degree n. In particular, for n=1,2,3, we give a complete solution of the proble…
Stability index of linear random dynamical systems
Anna Cima, Armengol Gasull, Víctor Mañosa
Given a homogeneous linear discrete or continuous dynamical system, its stability index is given by the dimension of the stable manifold of the zero solution. In particular, for th…
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…
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…