A Note on the Notions of Topological Entropy
Journal Title: Earthline Journal of Mathematical Sciences - Year 2019, Vol 1, Issue 1
Abstract
Topological entropy is used to determine the complexity of a dynamical system. This paper aims to serve as a stepping stone for the study of topological entropy. We review the notions of topological entropy, give an overview on the relation between the notions and fundamental properties of topological entropy. Besides, we cover the topological entropy of the induced hyperspaces and its connection with the original systems. We also provide a summary on the latest research topic related with topological entropy.
Authors and Affiliations
Wong Koon Sang, Zabidin Salleh
Exact Solutions for (2+1)-dimensional Nonlinear Schrödinger Equation Based on Modified Extended tanh Method
In this paper, modified extended tanh method is used to construct more general exact solutions of a (2+1)-dimensional nonlinear Schrödinger equation. With the aid of Maple and Matlab software, we obtain exact explicit ki...
Fully Homomorphic Cipher Based on Finite Algebraic Structures
A way to increase the robustness of a cryptographic algorithm toward unauthorized inversion can be obtained through application of non-commutative or non-associative algebraic structures. In this regard, data security be...
A New Symmetric p-stable Obrechkoff Method with Optimal Phase lag for Oscillatory Problems
In this paper, we derive a class of symmetric p-stable Obrechkoff methods via Padé approximation approach (PAA) for the numerical solution of special second order initial value problems (IVPs) in ordinary differential eq...
An Almost Periodic Lasota-Wazewska Dynamic Model on Time Scales
This paper deals with almost periodicity of Lasota-Wazewska dynamic equation on time scales. By applying a method based on the fixed point theorem of decreasing operator, we establish sufficient conditions for the existe...
T-fuzzy Bi-ideals in Semirings
In this work, we initiate the study of fuzzy bi-ideals under t-norms (T-fuzzy bi-ideals) in semirings and investigate some properties of them. Also we define prime, strongly prime, semiprime, irreducible, strongly irredu...