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Mental disorders may exhibit pathological brain rhythms and neurostimulation promises to alleviate of patients' symptoms by modifying these rhythms. Today, most neurostimulation schemes are open-loop, i.e. administer experimental…

Neurons and Cognition · Quantitative Biology 2023-03-21 Thomas Wahl , Michel Duprez , Axel Hutt

For the hopping dynamics in a one-dimensional model, containing energy and barrier disorder, we determine the linear and nonlinear response to an external field for arbitrary external frequencies. The calculation is performed in analytical…

Disordered Systems and Neural Networks · Physics 2013-02-15 Clara Mattner , Bernhard Roling , Andreas Heuer

This work proposes a data-driven regulator design that drives the output of a nonlinear system asymptotically to a time-varying reference and rejects time-varying disturbances. The key idea is to design a data-driven feedback controller…

Systems and Control · Electrical Eng. & Systems 2025-06-09 Yixuan Liu , Meichen Guo

This paper considers nonlinear dynamics of plasma oscillations modeled by a forced modified Van der Pol-Duffing oscillator. These plasma oscillations are described by a nonlinear differential equation of the form $ \ddot{x}+ \epsilon (1…

Fluid Dynamics · Physics 2013-08-29 C. H. Miwadinou , L. A. Hinvi , A. V. Monwanou , J. B. Chabi Orou

In present paper we discuss the control of complex spatio-temporal dynamics in a {spatially extended} non-linear system (fluid model of Pierce diode) based on the concepts of controlling chaos in the systems with few degrees of freedom. A…

Plasma Physics · Physics 2007-05-23 Alexander Hramov , Alexey koronovskii , Irene Rempen

This paper proposes an approach to addresses the control challenges posed by a fault-induced uncertainty in both the dynamics and control input effectiveness of a class of hierarchical nonlinear systems in which the high-level dynamics is…

Optimization and Control · Mathematics 2021-08-10 Sina Ameli , Olugbenga Moses Anubi

Neurons fire irregularly on multiple timescales when stimulated with a periodic pulse train. This raises two questions: Does this irregularity imply significant intrinsic stochasticity? Can existing neuron models be readily extended to…

Cell Behavior · Quantitative Biology 2013-01-14 Daniel Soudry , Ron Meir

We consider a distributed non cooperative control setting in which systems are interconnected via state constraints. Each of these systems is governed by an agent which is responsible for exchanging information with its neighbours and…

Optimization and Control · Mathematics 2015-03-19 Jürgen Pannek

This paper generalizes recent results by the authors on noninvasive model-reference adaptive control designs for control-based continuation of periodic orbits in periodically excited linear systems with matched uncertainties to a larger…

Optimization and Control · Mathematics 2023-01-02 Yang Li , Harry Dankowicz

Systems for which the backstepping technique cannot be applied are considered. A criterion for the design of a hybrid feedback law is proposed by blending a local stabilizer with a backstepping controller. This hybrid feedback law renders…

Optimization and Control · Mathematics 2015-08-12 Humberto Stein Shiromoto , Vincent Andrieu , Christophe Prieur

Nonlinear extension of the integral part of a standard proportional-integral-derivative (PID) feedback control is proposed for perturbed second-order systems. The approach is model-free and requires solely the Lipschitz boundedness of the…

Optimization and Control · Mathematics 2025-05-20 Michael Ruderman

Nonlinear spin dynamics are essential in exploring nonequilibrium quantum phenomena and have broad applications in precision measurement. Among these systems, the combination of a bias magnetic field and feedback mechanisms can induce…

Quantum Physics · Physics 2024-10-29 Tishuo Wang , Zhihuang Luo , Shizhong Zhang , Zhenhua Yu

An antiproton plasma confined in a quasi-1D device is described in terms of a self-consistent fluid formulation using a variational approach. Unlike previous treatments, the use of the time-dependent variational method allows to retain the…

Plasma Physics · Physics 2024-06-19 Luiz Gustavo F. Soares , Fernando Haas

Drug-drug interaction (DDI) prediction is a critical task in computational biomedicine, as adverse interactions between co-administered drugs can cause severe side effects and clinical risks. A key challenge is unseen-drug generalization,…

Machine Learning · Computer Science 2026-05-15 Yerin Park , Sangseon Lee

We theoretically derive the Hamiltonian dynamics of dispersion-managed coupled breathers in optical transmission system as a result of phases-plane dynamics of the system. We analytically show that the contribution of a perturbation term…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 H. I. Elim , F. P. Zen

Nonlinear dynamics of spiking neural networks has recently attracted much interest as an approach to understand possible information processing in the brain and apply it to artificial intelligence. Since information can be processed by…

Circumventing the reciprocity invariance has posed an interesting challenge in the design of modern devices for wave engineering. In passive devices, operating the device in the nonlinear response regime is a common means for realizing…

Applied Physics · Physics 2025-10-07 Andrus Giraldo , Behrooz Yousefzadeh

A delayed feedback control framework for stabilizing unstable periodic orbits of linear periodic time-varying systems is proposed. In this framework, act-and-wait approach is utilized for switching a delayed feedback controller on and off…

Systems and Control · Computer Science 2018-02-16 Ahmet Cetinkaya , Tomohisa Hayakawa , Mohd Amir Fikri bin Mohd Taib

We address the problem of dynamic output feedback stabilization at an unobservable target point. The challenge lies in according the antagonistic nature of the objective and the properties of the system: the system tends to be less…

Optimization and Control · Mathematics 2022-02-02 Lucas Brivadis , Jean-Paul Gauthier , Ludovic Sacchelli , Ulysse Serres

In order to remain adaptable to a dynamic environment, neural activity must be simultaneously both sensitive and stable. To solve this problem, the brain has been hypothesised to sit near a critical boundary. Yet, precisely how criticality…

Neurons and Cognition · Quantitative Biology 2023-04-07 Brandon R. Munn , Eli J. Müller , James M. Shine
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