Hypercyclic and Topologically Mixing Properties of Certain Classes of Volterra Integro-Differential Equations

2015 ◽  
pp. 328-428
Keyword(s):  
Differential Equations ◽  
Mixing Properties ◽  
Topologically Mixing

scholarly journals Topologically Transitive and Mixing Properties of Set-Valued Dynamical Systems

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Koon Sang Wong ◽  
Zabidin Salleh
Keyword(s):  
Dynamical Systems ◽  
Mixing Properties ◽  
Topologically Transitive ◽  
Topologically Mixing

We introduce and study two properties of dynamical systems: topologically transitive and topologically mixing under the set-valued setting. We prove some implications of these two properties for set-valued functions and generalize some results from a single-valued case to a set-valued case. We also show that both properties of set-valued dynamical systems are equivalence for any compact intervals.

Sign in / Sign up

Export Citation Format

Share Document