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Related papers: Forecasting the Forced van der Pol Equation with F…

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This paper examines the dynamics of power-electronic inverters in islanded microgrids that are controlled to emulate the dynamics of Van der Pol oscillators. The general strategy of controlling inverters to emulate the behavior of nonlinear…

Systems and Control · Computer Science 2016-01-21 Mohit Sinha , Florian Dorfler , Brian B. Johnson , Sairaj V. Dhople

Reservoir computers (RC) are a form of recurrent neural network (RNN) used for forecasting timeseries data. As with all RNNs, selecting the hyperparameters presents a challenge when training onnew inputs. We present a method based on…

Computational Physics · Physics 2022-01-05 Jason A. Platt , Adrian S. Wong , Randall Clark , Stephen G. Penny , Henry D. I. Abarbanel

Synchronization of forced reactively coupled van der Pol oscillators is investigated in the phase approximation. We discuss essential features of the reactive coupling. Bifurcation mechanisms for the destruction of complete synchronization…

Chaotic Dynamics · Physics 2015-03-11 A. P. Kuznetsov , L. V. Turukina , N. Yu. Chernyshov , Yu. V. Sedova

Reservoir computing is a machine learning paradigm that uses a high-dimensional dynamical system, or \emph{reservoir}, to approximate and predict time series data. The scale, speed and power usage of reservoir computers could be enhanced by…

Neural and Evolutionary Computing · Computer Science 2022-11-16 Forrest C. Sheldon , Artemy Kolchinsky , Francesco Caravelli

This paper introduces a novel approach to predicting periodic time series using reservoir computing. The model is tailored to deliver precise forecasts of rhythms, a crucial aspect for tasks such as generating musical rhythm. Leveraging…

Neural and Evolutionary Computing · Computer Science 2025-01-23 Zhongju Yuan , Geraint Wiggins , Dick Botteldooren

A physical neural network (PNN) has both the strong potential to solve machine learning tasks and intrinsic physical properties, such as high-speed computation and energy efficiency. Reservoir computing (RC) is an excellent framework for…

Chaotic Dynamics · Physics 2024-12-18 Tomoyuki Kubota , Yusuke Imai , Sumito Tsunegi , Kohei Nakajima

Photonic Reservoir Computing (RC) systems leverage the complex propagation and nonlinear interaction of optical waves to perform information processing tasks. These systems employ a combination of optical data encoding (in the field…

We show that a reservoir computer is an effective tool for model-free prediction of extreme events in deterministic chaotic systems. This prediction allows us to suppress unwanted extreme events, by applying weak control perturbations to…

Adaptation and Self-Organizing Systems · Physics 2020-06-24 Viktoras Pyragas , Kestutis Pyragas

Reservoir computing is a temporal information processing system that exploits artificial or physical dissipative dynamics to learn a dynamical system and generate the target time-series. This paper proposes the use of real superconducting…

Quantum Physics · Physics 2022-03-07 Yudai Suzuki , Qi Gao , Ken C. Pradel , Kenji Yasuoka , Naoki Yamamoto

Reservoir computing is a computational framework suited for temporal/sequential data processing. It is derived from several recurrent neural network models, including echo state networks and liquid state machines. A reservoir computing…

In this paper we investigate how to configure an oscillator network based reservoir computer with a high number of oscillators and a low dimensional read-out. The read-out is a function on the average phases with respect to each oscillator…

Chaotic Dynamics · Physics 2025-09-03 Thomas Geert de Jong

To stabilize the periodic operation of a chemical reactor the oscillation period should be determined precisely in real time. The method discussed in the paper is based on adaptive sampling of the state variable with the use of chaotic…

Chaotic Dynamics · Physics 2026-02-10 Marcin Lawnik , Marek Berezowski

Recent advancements in reservoir computing research have created a demand for analog devices with dynamics that can facilitate the physical implementation of reservoirs, promising faster information processing while consuming less energy…

We propose a novel molecular computing approach based on reservoir computing. In reservoir computing, a dynamical core, called a reservoir, is perturbed with an external input signal while a readout layer maps the reservoir dynamics to a…

Neural and Evolutionary Computing · Computer Science 2019-11-12 Alireza Goudarzi , Matthew R. Lakin , Darko Stefanovic

A reservoir computer is a dynamical system that may be used to perform computations. A reservoir computer usually consists of a set of nonlinear nodes coupled together in a network so that there are feedback paths. Training the reservoir…

Adaptation and Self-Organizing Systems · Physics 2019-07-22 Thomas L. Carroll

Delay-based reservoir computing has gained a lot of attention due to the relative simplicity with which this concept can be implemented in hardware. However,there is still an misconception about the relationship between the delay-time and…

Computational Physics · Physics 2021-12-23 Tobias Hülser , Felix Köster , Lina Jaurigue , Kathy Lüdge

Reservoir computing derived from recurrent neural networks is more applicable to real world systems than deep learning because of its low computational cost and potential for physical implementation. Specifically, physical reservoir…

Emerging Technologies · Computer Science 2019-12-03 Hiroyasu Ando , Hanten Chang

Reservoir computing (RC) is attracting attention as a machine-learning technique for edge computing. In time-series classification tasks, the number of features obtained using a reservoir depends on the length of the input series.…

Machine Learning · Computer Science 2025-04-17 Sosei Ikeda , Hiromitsu Awano , Takashi Sato

Measurements acquired from distributed physical systems are often sparse and noisy. Therefore, signal processing and system identification tools are required to mitigate noise effects and reconstruct unobserved dynamics from limited sensor…

Machine Learning · Computer Science 2025-09-08 Omid Sedehi , Manish Yadav , Merten Stender , Sebastian Oberst

Next Generation Reservoir Computing (NG-RC) is a modern class of model-free machine learning that enables an accurate forecasting of time series data generated by dynamical systems. We demonstrate that NG-RC can accurately predict full…

Quantum Physics · Physics 2025-01-24 Apimuk Sornsaeng , Ninnat Dangniam , Thiparat Chotibut
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