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Chaotic behavior can be produced from difference equations with unstable fixed points. Difference equations can be used for algorithms to control the chaotic behavior by perturbing a system parameter using feedback based on the first…

Chaotic Dynamics · Physics 2010-01-14 Edward H. Hellen , J. Keith Thomas

Multi-stability is a widely observed phenomenon in real complex networked systems, such as technological infrastructures, ecological systems, gene regulation, transportation and more. When a system functions normally but there exists also a…

Physics and Society · Physics 2022-05-27 Hillel Sanhedrai , Shlomo Havlin

Organisms in nature have evolved to exhibit flexibility in face of changes to the environment and/or to themselves. Artificial neural networks (ANNs) have proven useful for controlling of artificial agents acting in environments. However,…

Machine Learning · Computer Science 2022-05-18 Joachim Winther Pedersen , Sebastian Risi

Recurrent neural networks (RNNs) are non-linear dynamic systems. Previous work believes that RNN may suffer from the phenomenon of chaos, where the system is sensitive to initial states and unpredictable in the long run. In this paper,…

Computation and Language · Computer Science 2020-04-30 Pourya Vakilipourtakalou , Lili Mou

This paper presents an implementation of multilayer feed forward neural networks (NN) to optimize CMOS analog circuits. For modeling and design recently neural network computational modules have got acceptance as an unorthodox and useful…

Neural and Evolutionary Computing · Computer Science 2012-12-13 Mriganka Chakraborty

Essentially, motive behind using control system is to generate suitable control signal for yielding desired response of a physical process. Control of synchronous generator has always remained very critical in power system operation and…

Systems and Control · Computer Science 2012-04-30 Abdul Ghani Abro , Junita Mohamad Saleh

Disorder in condensed matter and atomic physics is responsible for a great variety of fascinating quantum phenomena, which are still challenging for understanding, not to mention the relevant dynamical control. Here we introduce proof of…

Disordered Systems and Neural Networks · Physics 2022-03-01 Tang-You Huang , Yue Ban , E. Ya. Sherman , Xi Chen

Artificial neural network (ANN) is tested as a tool for finding a new subgrid model of the subgrid-scale (SGS) stress in large-eddy simulation. ANN is used to establish a functional relation between the grid-scale (GS) flow field and the…

Fluid Dynamics · Physics 2017-05-10 Masataka Gamahara , Yuji Hattori

Feedback control actively dissipates uncertainty from a dynamical system by means of actuation. We develop a notion of "control capacity" that gives a fundamental limit (in bits) on the rate at which a controller can dissipate the…

Information Theory · Computer Science 2017-01-17 Gireeja Ranade , Anant Sahai

Autonomous randomly coupled neural networks display a transition to chaos at a critical coupling strength. We here investigate the effect of a time-varying input on the onset of chaos and the resulting consequences for information…

Neurons and Cognition · Quantitative Biology 2018-11-21 Jannis Schuecker , Sven Goedeke , Moritz Helias

The literature is rich with studies, analyses, and examples on parameter estimation for describing the evolution of chaotic dynamical systems based on measurements, even when only partial information is available through observations.…

Chaotic Dynamics · Physics 2025-08-07 Michele Baia , Tommaso Matteuzzi , Franco Bagnoli

Fixed point iterations are known to generate chaos, for some values in their parameter range. It is an established fact that Turing Machines are fixed point iterations. However, as these Machines operate in integer space, the standard…

Computational Complexity · Computer Science 2015-07-06 Nabarun Mondal , Partha P. Ghosh

Resilience characterizes a system's ability to retain its original function when perturbations happen. In the past years our attention mainly focused on small-scale resilience, yet our understanding of resilience in large-scale network…

Adaptation and Self-Organizing Systems · Physics 2020-10-13 Mengbang Zou , Luca Zanotti Fragonara , Weisi Guo

In this article we consider the possibility of controlling the dynamics of nonlinear discrete systems. A new method of control is by mixing states of the system (or the functions of these states) calculated on previous steps. This approach…

Chaotic Dynamics · Physics 2016-08-23 D. Dmitrishin , I. M. Skrinnik , A. Stokolos

A hybrid approach, incorporating concepts of nonlinear dynamics in artificial neural networks (ANN), is proposed to model time series generated by complex dynamic systems. We introduce well known features used in the study of dynamic…

comp-gas · Physics 2008-02-03 D. R. Kulkarni , A. S. Pandya , J. C. Parikh

Recently, the term explainable AI became known as an approach to produce models from artificial intelligence which allow interpretation. Since a long time, there are models of symbolic regression in use that are perfectly explainable and…

Machine Learning · Computer Science 2020-01-29 Markus Quade , Thomas Isele , Markus Abel

Although the set of permutation symmetries of a complex network can be very large, few of the symmetries give rise to stable synchronous patterns. Here we present a new framework and develop techniques for controlling synchronization…

Chaotic Dynamics · Physics 2016-05-04 Weijie Lin , Huawei Fan , Ying Wang , Heping Ying , Xingang Wang

In recent years, analysis and control of quantum chaos are increasingly important, but the lack of the concept of trajectory makes it impossible to analyze quantum chaos by the methods used in classical chaos. This research aims to connect…

Quantum Physics · Physics 2022-04-01 Ciann-Dong Yang , Yen-Jiun Chen , Yun-Yan Lee

The rapid advancement of models based on artificial intelligence demands innovative monitoring techniques which can operate in real time with low computational costs. In machine learning, especially if we consider artificial neural networks…

Methodology · Statistics 2023-11-10 Anna Malinovskaya , Pavlo Mozharovskyi , Philipp Otto

We undertake a systematic study of the dynamics of Boolean networks to determine the origin of chaos observed in recent experiments. Networks with nodes consisting of ideal logic gates are known to display either steady states, periodic…

Chaotic Dynamics · Physics 2015-05-14 Hugo L. D. de S. Cavalcante , Daniel J. Gauthier , Joshua E. S. Socolar , Rui Zhang
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