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math.DS2025
Understanding topological dynamics of hyperbolic dynamical systems via examples
Anima Nagar
Topological dynamics constitutes the study of asymptotic properties of orbits under flows or maps on the Hausdorff phase space. Hyperbolic dynamics is the study of differentiable f…
math.DS2024
Some relations in topological dynamics
Joseph Auslander, Anima Nagar
Relations always play an important role in the study of topological dynamics. Proximal, distal and almost periodic relations are well studied in literature. We further this directi…
math.DS2023
Some Variations of Transitivity for CR-dynamical systems
Nayan Adhikary, Anima Nagar
We consider the topological dynamics of closed relations(CR) by studying one of the oldest dynamical property - `transitivity'. We investigate the two kinds of (closed relation) CR…