arXiv Open Access 2025

Categorical foundations of discrete dynamical systems

Daniel Carranza Chris Kapulkin Nathan Kershaw Reinhard Laubenbacher Matthew Wheeler

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Abstrak

We develop categorical foundations of discrete dynamical systems, aimed at understanding how the structure of the system affects its dynamics. The key technical innovation is the notion of a cycle set, which provides a formal language in which to speak of the system's attractors. As a proof of concept, we provide a decomposition theorem for discrete dynamical systems.

Topik & Kata Kunci

math.DS math.CT

Penulis (5)

Daniel Carranza

Chris Kapulkin

Nathan Kershaw

Reinhard Laubenbacher

Matthew Wheeler

Format Sitasi

APA MLA BibTeX

Carranza, D., Kapulkin, C., Kershaw, N., Laubenbacher, R., Wheeler, M. (2025). Categorical foundations of discrete dynamical systems. https://arxiv.org/abs/2506.05190

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓