For piecewise linear Lorenz map that expand on average, we show that it admits a dichotomy: it is either periodic renormalizable or prime. As a result, such a map is conjugate to a ß-transformation
We consider families of piecewise linear maps in which the moduli of the two slopes take different v...
We find universal scaling behaviour for the period-doubling tree in two-parameter families of bimoda...
Abstract. We establish combinatorial properties of the dynamics of piecewise increasing, continuous,...
For piecewise linear Lorenz map that expand on average, we show that it admits a dichotomy: it is ei...
Abstract. For piecewise linear Lorenz map that expand on average, we show that it admits a dichotomy...
We establish a one-to-one correspondence between the renormalizations and proper totally invariant c...
The aim of this paper is twofold. First we give a characterization of the set of kneading invariants...
Abstract. We consider infinitely renormalizable Lorenz maps with real crit-ical exponent α> 1 and...
We extend the renormalization operator introduced in [A. de Carvalho, M. Martens and M. Lyubich. Ren...
This thesis is a study of the renormalization operator on Lorenz αmaps with a critical point. Lorenz...
We consider transformations preserving a contracting foliation, such that the associated quotient ma...
In this work we consider a simple system of piecewise linear discontinuous 1D map with two discontin...
The period-doubling Cantor sets of strongly dissipative Henon-like maps with different average Jacob...
Abstract. We consider families of piecewise linear maps in which the moduli of the two slopes take d...
We face the problem of characterizing the periodic cases in parametric families of (real or complex)...
We consider families of piecewise linear maps in which the moduli of the two slopes take different v...
We find universal scaling behaviour for the period-doubling tree in two-parameter families of bimoda...
Abstract. We establish combinatorial properties of the dynamics of piecewise increasing, continuous,...
For piecewise linear Lorenz map that expand on average, we show that it admits a dichotomy: it is ei...
Abstract. For piecewise linear Lorenz map that expand on average, we show that it admits a dichotomy...
We establish a one-to-one correspondence between the renormalizations and proper totally invariant c...
The aim of this paper is twofold. First we give a characterization of the set of kneading invariants...
Abstract. We consider infinitely renormalizable Lorenz maps with real crit-ical exponent α> 1 and...
We extend the renormalization operator introduced in [A. de Carvalho, M. Martens and M. Lyubich. Ren...
This thesis is a study of the renormalization operator on Lorenz αmaps with a critical point. Lorenz...
We consider transformations preserving a contracting foliation, such that the associated quotient ma...
In this work we consider a simple system of piecewise linear discontinuous 1D map with two discontin...
The period-doubling Cantor sets of strongly dissipative Henon-like maps with different average Jacob...
Abstract. We consider families of piecewise linear maps in which the moduli of the two slopes take d...
We face the problem of characterizing the periodic cases in parametric families of (real or complex)...
We consider families of piecewise linear maps in which the moduli of the two slopes take different v...
We find universal scaling behaviour for the period-doubling tree in two-parameter families of bimoda...
Abstract. We establish combinatorial properties of the dynamics of piecewise increasing, continuous,...