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PreprintCC BY 4.0arXiv

Network of limit sets in dynamical systems

  • Suddhasattwa Das
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Abstract

Points within a topological dynamical systems can be separated into transient and recurrent points. Most of the asymptotic properties of the dynamics is borne by the closure of the collection of recurrent points. This article presents a representation scheme for dynamics using the connectivity information in terms of the recurrent set. This representation is functorial and represents certain compositional features of dynamical systems.

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Cite

BibTeXRIS
BibTeX
@misc{das2026network,
  title = {{Network of limit sets in dynamical systems}},
  author = {Suddhasattwa Das},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.34265},
  eprint = {2610.34265},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.34265},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Network of limit sets in dynamical systems
AU  - Suddhasattwa Das
PY  - 2026
DA  - 2026/10/25
PB  - arXiv
DO  - 10.48550/arxiv.2610.34265
UR  - https://arxiv.org/abs/2610.34265
AB  - Points within a topological dynamical systems can be separated into transient and recurrent points. Most of the asymptotic properties of the dynamics is borne by the closure of the collection of recurrent points. This article presents a representation scheme for dynamics using the connectivity information in terms of the recurrent set. This representation is functorial and represents certain compositional features of dynamical systems.
ER  -