A chaotic function with zero topological entropy having a non-perfect attractor
A counterexample to a Fedorenko statement.
A distributionally chaotic triangular map with zero sequence topological entropy.
A new chaotic attractor from 2D discrete mapping via border-collision period-doubling scenario.
A note on a generalization of Diliberto's Theorem for certain differential equations of higher dimension
In the theory of autonomous perturbations of periodic solutions of ordinary differential equations the method of the Poincaré mapping has been widely used. For the analysis of properties of this mapping in the case of two-dimensional systems, a result first obtained probably by Diliberto in 1950 is sometimes used. In the paper, this result is (partially) extended to a certain class of autonomous ordinary differential equations of higher dimension.
A note on the structure of quadratic Julia sets
In a series of papers, Bandt and the author have given a symbolic and topological description of locally connected quadratic Julia sets by use of special closed equivalence relations on the circle called Julia equivalences. These equivalence relations reflect the landing behaviour of external rays in the case of local connectivity, and do not apply completely if a Julia set is connected but fails to be locally connected. However, rational external rays land also in the general case. The present...
A partial generalization of Diliberto’s theorem for certain DEs of higher dimension
A thermodynamic approach to locally symmetric manifolds of higher rank
Affine diffeomorphisms of translation surfaces : periodic points, fuchsian groups, and arithmeticity
An approach to zeta-function of finite factorgraph via the Markov topological chains
Approximating entropy of maps of the interval
Automorphisms and subsystems of the shift.