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A study of the bi-shadowing property on topologically conjugate dynamical systems on group space
International Journal of Statistics and Applied Mathematics · 2024 · Vol. 9(5) · pp. 97–103
Abstract
In this paper, we studied the metric group space by addressing the concept of topological conjugation of actions and studying the transfer of the bi-shadowing property between two uniformly topologically conjugate actions under some secondary conditions. This study was done using the concept of bi-shadowing in its two types, parameterized and non-parameterized, as well as when the parameters are fixed and different.
Quantum chaos and dynamical systemsNonlinear Dynamics and Pattern Formationadvanced mathematical theoriesConjugateProperty (philosophy)Group (periodic table)Space (punctuation)Pure mathematicsTopological conjugacyMathematicsTopology (electrical circuits)Computer scienceAlgebra over a field
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