Detecting unstable periodic orbits based only on time series: When adaptive delayed feedback control meets reservoir computing-Reference-Cited by-同舟云学术

Detecting unstable periodic orbits based only on time series: When adaptive delayed feedback control meets reservoir computing

Published:2019-09 Issue:9 Volume:29 Page:093125
ISSN:1054-1500
Container-title:Chaos: An Interdisciplinary Journal of Nonlinear Science
language:en
Short-container-title:Chaos

Author:

Zhu Qunxi¹²^ORCID,Ma Huanfei³^ORCID,Lin Wei¹²⁴^ORCID

Affiliation:

1. School of Mathematical Sciences, Fudan University, Shanghai 200433, China

2. Shanghai Key Laboratory for Contemporary Applied Mathematics, LMNS (Fudan University), and LCNBI (Fudan University), Shanghai 200433, China

3. School of Mathematical Sciences, Soochow University, Suzhou 215006, China

4. Centre for Computational Systems Biology, Institute of Science and Technology for Brain-Inspired Intelligence, Fudan University, Shanghai 200433, China

Funder

National Key Research and Development Program of China

Science and Technology Commission of Shanghai Municipality

Chinese Government Scholarship

National Natural Science Foundation of China

Publisher

AIP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

http://aip.scitation.org/doi/pdf/10.1063/1.5120867

Reference49 articles.

1. Controlling chaos

2. Periodic orbits as the skeleton of classical and quantum chaos

3. Continuous control of chaos by self-controlling feedback

4. Chaos Control

5. Stabilizing Near-Nonhyperbolic Chaotic Systems with Applications

Cited by 38 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Predicting positon solutions of a family of nonlinear Schrödinger equations through deep learning algorithm;Physics Letters A;2024-07

2. TimeSQL: Improving multivariate time series forecasting with multi-scale patching and smooth quadratic loss;Information Sciences;2024-06

3. Data-driven discovery of stochastic dynamical systems with α-stable Lévy noise based on residual networks;Physica D: Nonlinear Phenomena;2024-06

4. Higher-order Granger reservoir computing: simultaneously achieving scalable complex structures inference and accurate dynamics prediction;Nature Communications;2024-03-20

5. Emerging opportunities and challenges for the future of reservoir computing;Nature Communications;2024-03-06