Detecting unstable periodic orbits based only on time series: When adaptive delayed feedback control meets reservoir computing
From MaRDI portal
Publication:5242061
DOI10.1063/1.5120867zbMath1423.37064OpenAlexW2976146814WikidataQ90420530 ScholiaQ90420530MaRDI QIDQ5242061
Wei Lin, Qunxi Zhu, Huan-Fei Ma
Publication date: 5 November 2019
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.5120867
Feedback control (93B52) Time series analysis of dynamical systems (37M10) Periodic orbits of vector fields and flows (37C27) Synchronization of solutions to ordinary differential equations (34D06)
Related Items (5)
Robustness of LSTM neural networks for multi-step forecasting of chaotic time series ⋮ Global optimization of hyper-parameters in reservoir computing ⋮ Seeking optimal parameters for achieving a lightweight reservoir computing: a computational endeavor ⋮ The Role of Random Structures in Tissue Formation: From a Viewpoint of Morphogenesis in Stochastic Systems ⋮ Revisiting the memory capacity in reservoir computing of directed acyclic network
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Reservoir computing approaches to recurrent neural network training
- Data based identification and prediction of nonlinear and complex dynamical systems
- Nonlinear adaptive synchronization rule for identification of a large amount of parameters in dynamical models
- Chaotic attractors of an infinite-dimensional dynamical system
- Periodic orbits as the skeleton of classical and quantum chaos
- Chaos control. Theory and applications
- The Lorenz equations: bifurcations, chaos, and strange attractors
- Control of chaos via extended delay feedback
- Identification of interactions in fractional-order systems with high dimensions
- Unstable periodic orbits in the Lorenz attractor
- Real-Time Computing Without Stable States: A New Framework for Neural Computation Based on Perturbations
- Controlling chaos
- Using machine learning to replicate chaotic attractors and calculate Lyapunov exponents from data
- Pinning Complex Networks by a Single Controller
- Deterministic Nonperiodic Flow
- Oscillation and Chaos in Physiological Control Systems
- Achieving control and synchronization merely through a stochastically adaptive feedback coupling
- Synchronization Between Adaptively Coupled Systems With Discrete and Distributed Time-Delays
- Randomly distributed embedding making short-term high-dimensional data predictable
- Stable signal recovery from incomplete and inaccurate measurements
- Adaptive elimination of synchronization in coupled oscillator
This page was built for publication: Detecting unstable periodic orbits based only on time series: When adaptive delayed feedback control meets reservoir computing