Dynamical systems are mathematical objects meant to formally capture the evolution of deterministic systems. Although no topological constraint is usually imposed on their state spaces, there is prima facie evidence that the topological properties of dynamical systems might naturally depend on their dynamical features. This paper aims to prepare the grounds for a systematic investigation of such dependence, by exploring how the underlying dynamics might naturally induce a corresponding topology.

For a topology of dynamical systems

GIUNTI, MARCO
2016

Abstract

Dynamical systems are mathematical objects meant to formally capture the evolution of deterministic systems. Although no topological constraint is usually imposed on their state spaces, there is prima facie evidence that the topological properties of dynamical systems might naturally depend on their dynamical features. This paper aims to prepare the grounds for a systematic investigation of such dependence, by exploring how the underlying dynamics might naturally induce a corresponding topology.
978-3-319-24391-7
978-3-319-24389-4
Deterministic dynamical system, Dynamical system on a monoid, Topology, Dynamically induced topology
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/139307
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