26 citations · 157 across the 22 of their papers we have counts for
22 papers
Entropy and ω-limit sets on invariant graphs for a class of planar piecewise linear maps
Anna Cima, Armengol Gasull, Víctor Mañosa +1
We consider the family of piecewise linear maps where . In previous work, we identified that certain maps of…
Invariant graphs and dynamics of a family of continuous piecewise linear planar maps
Anna Cima, Armengol Gasull, Víctor Mañosa +1
We consider the family of piecewise linear maps where . This family belongs to a wider one that has d…
On some rational piecewise linear rotations
Anna Cima, Armengol Gasull, Víctor Mañosa +1
We study the dynamics of the piecewise planar rotations with $z\in\C$, if if and $λ=\mathrm{e}^{i…
Pointwise periodic maps with quantized first integrals
Anna Cima, Armengol Gasull, Víctor Mañosa +1
We describe the global dynamics of some pointwise periodic piecewise linear maps in the plane that exhibit interesting dynamic features. For each of these maps we find a first inte…
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…