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PreprintCC BY 4.0arXiv

Reservoir as a Dynamical System: A Tutorial Review

Abstract

This brief tutorial review examines the operation of reservoir computing from the standpoint of nonlinear dynamics and provides a concise overview of recent advances in the field. We begin by delineating the predictive capabilities of reservoir systems, followed by a succinct yet sufficient introduction to the nonlinear dynamical systems techniques that will be employed throughout this article to elucidate reservoir functioning. Subsequently, we describe reservoir operation using these techniques in the context of successful prediction, accompanied by all necessary implementation codes. The objective of this article is to offer a practical guide to the implementation of reservoir computing while, from a nonlinear dynamics perspective, explaining the mechanisms by which reservoirs achieve accurate predictions.

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BibTeX
@misc{jalan2026reservoir,
  title = {{Reservoir as a Dynamical System: A Tutorial Review}},
  author = {Sarika Jalan and Ling Feng and Dishant Sisodia and Kohei Nakajima},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.32421},
  eprint = {2610.32421},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.32421},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Reservoir as a Dynamical System: A Tutorial Review
AU  - Sarika Jalan
AU  - Ling Feng
AU  - Dishant Sisodia
AU  - Kohei Nakajima
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.32421
UR  - https://arxiv.org/abs/2610.32421
AB  - This brief tutorial review examines the operation of reservoir computing from the standpoint of nonlinear dynamics and provides a concise overview of recent advances in the field. We begin by delineating the predictive capabilities of reservoir systems, followed by a succinct yet sufficient introduction to the nonlinear dynamical systems techniques that will be employed throughout this article to elucidate reservoir functioning. Subsequently, we describe reservoir operation using these techniques in the context of successful prediction, accompanied by all necessary implementation codes. The objective of this article is to offer a practical guide to the implementation of reservoir computing while, from a nonlinear dynamics perspective, explaining the mechanisms by which reservoirs achieve accurate predictions.
ER  -