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We study optimal proportional feedback controllers for spatially invariant systems when the controller has access to delayed state measurements received from different spatial locations. We analyze how delays affect the spatial locality of…

最优化与控制 · 数学 2025-09-12 Luca Ballotta , Juncal Arbelaiz , Vijay Gupta , Luca Schenato , Mihailo R. Jovanović

Propagation of oscillatory signals through the cortex and coherence is shaped by the connectivity structure of neuronal circuits. This study systematically investigates the network and stimulus properties that shape network responses. The…

神经元与认知 · 定量生物学 2017-04-28 Hannah Bos , Jannis Schücker , Moritz Helias

Dynamical systems can autonomously adapt their organization so that the required target dynamics is reproduced. In the previous Rapid Communication [Phys. Rev. E 90,030901(R) (2014)], it was shown how such systems can be designed using…

适应与自组织系统 · 物理学 2016-11-04 Pablo Kaluza , Alexander S. Mikhailov

We study the stability of unstable steady states in scalar retarded time-delayed systems subjected to a variable-delay feedback control. The important aspect of such a control problem is that time-delayed systems are already…

混沌动力学 · 物理学 2010-07-08 Aleksandar Gjurchinovski , Viktor Urumov

We investigate a coordination model for a two-stage collective decision-making problem within the framework of global games. The agents observe noisy signals of a shared random variable, referred to as the fundamental, which determines the…

计算机科学与博弈论 · 计算机科学 2026-04-08 Shinkyu Park , Behrouz Touri , Marcos M. Vasconcelos

We consider a robust stabilization of the fourth-order oscillatory systems with non-collocated output sensing. Worth recalling is that the fourth-order systems are relatively common in mechatronics as soon as there are two-mass or more…

系统与控制 · 电气工程与系统科学 2023-06-13 Michael Ruderman

Entrainment of randomly coupled oscillator networks by periodic external forcing applied to a subset of elements is numerically and analytically investigated. For a large class of interaction functions, we find that the entrainment window…

无序系统与神经网络 · 物理学 2015-06-25 Hiroshi Kori , Alexander S. Mikhailov

Winner-Take-All (WTA) refers to the neural operation that selects a (typically small) group of neurons from a large neuron pool. It is conjectured to underlie many of the brain's fundamental computational abilities. However, not much is…

神经元与认知 · 定量生物学 2019-04-24 Lili Su , Chia-Jung Chang , Nancy Lynch

In oscillatory reaction-diffusion systems, time-delay feedback can lead to the instability of uniform oscillations with respect to formation of standing waves. Here, we investigate how the presence of additive, Gaussian white noise can…

统计力学 · 物理学 2016-08-17 Michael Stich , Amit K Chattopadhyay

We study the possibility to stabilize unstable steady states and unstable periodic orbits in chaotic fractional-order dynamical systems by the time-delayed feedback method. By performing a linear stability analysis, we establish the…

综合物理 · 物理学 2011-07-07 Aleksandar Gjurchinovski , Trifce Sandev , Viktor Urumov

Some features of random networks with excitable nodes that are embeddable in the Euclidean space are not describable in terms of the conventional integrate and fire model (IFM) alone, and some further details should be involved. In the…

统计力学 · 物理学 2019-03-27 M. N. Najafi , M. Rahimi

Time delay in general leads to instability in some systems, while a specific feedback with delay can control fluctuated motion in nonlinear deterministic systems to a stable state. In this paper, we consider a non-stationary stochastic…

混沌动力学 · 物理学 2017-08-02 Hiroyasu Ando , Kohta Takehara , Miki U. Kobayashi

The recent demonstration of neuromorphic computing with spin-torque nano-oscillators has opened a path to energy efficient data processing. The success of this demonstration hinged on the intrinsic short-term memory of the oscillators. In…

Neurons are connected to other neurons by axons and dendrites that conduct signals with finite velocities, resulting in delays between the firing of a neuron and the arrival of the resultant impulse at other neurons. Since delays greatly…

神经元与认知 · 定量生物学 2021-08-25 Akke Mats Houben

Complexity in the temporal organization of neural systems may be a reflection of the diversity of its neural constituents. These constituents, excitatory and inhibitory neurons, comprise an invariant ratio in vivo and form the substrate for…

神经元与认知 · 定量生物学 2015-05-18 Xin Chen , Rhonda Dzakpasu

Time delayed feedback control is one of the most successful methods to discover dynamically unstable features of a dynamical system in an experiment. This approach feeds back only terms that depend on the difference between the current…

动力系统 · 数学 2016-04-26 Jan Sieber

A general scheme for construction of dynamical systems able to learn generation of the desired kinds of dynamics through adjustment of their internal structure is proposed. The scheme involves intrinsic time-delayed feedback to steer the…

适应与自组织系统 · 物理学 2015-06-22 Pablo Kaluza , Alexander S. Mikhailov

Winner-take-all (WTA) networks constitute a central circuit motif in cortical networks of the brain. In addition, WTA-like activations are abundant in modern deep learning models in the form of the softmax activation for example in…

机器学习 · 计算机科学 2026-05-22 Julian Gutheil , Simon Hitzginger , Robert Legenstein

Spiking neural networks (SNNs) are biologically inspired, event-driven models suited for temporal data processing and energy-efficient neuromorphic computing. In SNNs, richer neuronal dynamic allows capturing more complex temporal…

机器学习 · 计算机科学 2026-03-27 Sanja Karilanova , Subhrakanti Dey , Ayça Özçelikkale

We study experimentally the synchronization patterns in time-delayed directed Boolean networks of excitable systems. We observe a transition in the network dynamics when the refractory time of the individual systems is adjusted. When the…

适应与自组织系统 · 物理学 2013-03-07 David P. Rosin , Damien Rontani , Daniel J. Gauthier , Eckehard Schöll