Dante Carrasco-Olivera, Roger Javier Metzger Alván, Carlos Arnoldo Morales Rojas
Abstract
In this paper we define and study the topological entropy of a set-valued dynamical system.Actually, we obtain two entropies based on separated and spanning sets.Some properties of these entropies resembling the single-valued case will be obtained.
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In this paper we define and study the topological entropy of a set-valued dynamical system.Actually, we obtain two entropies based on separated and spanning sets.Some properties of these entropies resembling the single-valued case will be obtained.
Key concepts: Topological entropy, Topological entropy in physics, Mathematics, Entropy (arrow of time), Set (abstract data type), Dynamical systems theory, Topology (electrical circuits), Discrete mathematics