Topological dynamics of nonautonomous systems

Results 11 to 20 of about 104 (85)

Intermediate Topological Entropies for Subsets of Nonautonomous Dynamical Systems

Journal of Dynamical and Control Systems
Motivated by the notion of intermediate dimensions introduced by Falconer et al., we introduce a continuum of topological entropies that are intermediate between the (Bowen) topological entropy and the lower and upper capacity topological entropies.
openaire +2 more sources

Topological sequence entropy of nonautonomous dynamical systems

Journal of Differential Equations
Let $f_{0,\infty}=\{f_n\}_{n=0}^{\infty}$ be a sequence of continuous self-maps on a compact metric space $X$. Firstly, we obtain the relations between topological sequence entropy of a nonautonomous dynamical system $(X,f_{0,\infty})$ and that of its finite-to-one extension.
openaire +2 more sources

Nonautonomous Dynamical Systems I: Topological Pressures and Entropies

Let $\boldsymbol{X}=\{X_{k}\}_{k=0}^{\infty}$ be a sequence of compact metric spaces $X_{k}$ and $\boldsymbol{T}=\{T_{k}\}_{k=0}^{\infty}$ a sequence of continuous mappings $T_{k}:X_{k} \to X_{k+1}$. The pair $(\boldsymbol{X},\boldsymbol{T})$ is called a nonautonomous dynamical system.
Chen, Zhuo, Miao, Jun Jie
openaire +2 more sources

How "Berry Phase" Analysis of Non-Adiabatic Non-Hermitian Systems Reflects Their Geometry. [PDF]