Topologically Transitive and Mixing Properties of Set-Valued Dynamical Systems
Copyright policy )Topologically Transitive and Mixing Properties of Set-Valued Dynamical Systems
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.
- Universiti Malaysia Terengganu Malaysia
Equivalence (formal languages), Ergodicity, mixing, rates of mixing, Set (abstract data type), Set-valued functions, Quantum mechanics, Mixing (physics), QA1-939, FOS: Mathematics, mixing, Mathematical Physics, Set-valued maps in general topology, Model Theory and Topological Dynamics, Definable Sets, Applied Mathematics, Physics, Pure mathematics, Topological conjugacy, Stability of Functional Equations in Mathematical Analysis, Discrete mathematics, Dynamical system (definition), Computer science, Dynamical Systems, Programming language, Topological Dynamics, set-valued dynamical systems, Combinatorics, Dynamical Systems and Chaos Theory, Physical Sciences, Dynamical systems theory, Geometry and Topology, Transitive relation, Dynamics in general topological spaces, Mathematics
Equivalence (formal languages), Ergodicity, mixing, rates of mixing, Set (abstract data type), Set-valued functions, Quantum mechanics, Mixing (physics), QA1-939, FOS: Mathematics, mixing, Mathematical Physics, Set-valued maps in general topology, Model Theory and Topological Dynamics, Definable Sets, Applied Mathematics, Physics, Pure mathematics, Topological conjugacy, Stability of Functional Equations in Mathematical Analysis, Discrete mathematics, Dynamical system (definition), Computer science, Dynamical Systems, Programming language, Topological Dynamics, set-valued dynamical systems, Combinatorics, Dynamical Systems and Chaos Theory, Physical Sciences, Dynamical systems theory, Geometry and Topology, Transitive relation, Dynamics in general topological spaces, Mathematics
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