Positive Topological Entropy and ℓ1

Entropy of a semigroup of maps from a set-valued view

In this paper, we introduce a new entropy-like invariant, named Hausdorff metric entropy, for finitely generated semigroups acting on compact metric spaces from a set-valued view and study its properties. We establish the relation between Hausdorff metric entropy and topological entropy of a semigroup defined by Bis. Some examples with positive or zero Hausdorff metric entropy are given. Moreov...

Entropy operator for continuous dynamical systems of finite topological entropy

In this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. It is shown that it generates the Kolmogorov entropy as a special case. If $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.

QSPR Modeling of Heat Capacity, Thermal Energy and Entropy of Aliphatic Aldehydes by using Topological Indices and MLR Method

Positive Topological Entropy for Magnetic Flows on Surfaces

We study the topological entropy of the magnetic flow on closed riemannian surface. We prove that if the magnetic flow has a non-hyperbolic closed orbit in some energy set T c M = E −1 (c), then there exists an exact C ∞-perturbation of the 2-form Ω such that the new magnetic flow has positive topological entropy in T c M. We also prove that if the magnetic flow has an infinite number of closed...

Positive Topological Entropy for Magnetic

We study the topological entropy of the magnetic flow on closed Riemannian surface. We prove that if the magnetic flow has a non-hyperbolic closed orbit in some energy set T c M = E −1 (c), then there exists an exact C ∞-perturbation of the 2-form Ω such that the new magnetic flow has positive topological entropy in T c M. We also prove that if the magnetic flow has an infinite number of closed...