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We propose a reformulation of the problem of optimally controlled transitions in stochastic thermodynamics. We impose that any terminal cost specified by a thermodynamic functional should depend only on state variables and not on control…

统计力学 · 物理学 2025-10-03 Julia Sanders , Paolo Muratore-Ginanneschi

Spiking Neural Networks have earned increased recognition in recent years owing to their biological plausibility and event-driven computation. Spiking neurons are the fundamental building components of Spiking Neural Networks. Those neurons…

神经与进化计算 · 计算机科学 2025-06-04 Amr Nabil , T. Nandha Kumar , Haider Abbas F. Almurib

We study the dynamics of a low-dimensional system of coupled model neurons as a step towards understanding the vastly complex network of neurons in the brain. We analyze the bifurcation structure of a system of two model neurons with…

动力系统 · 数学 2019-03-27 Elizabeth N. Davison , Zahra Aminzare , Biswadip Dey , Naomi Ehrich Leonard

We consider joint control of a switchable capacitor and a D-STATCOM for voltage regulation in a distribution circuit with intermittent load. The control problem is formulated as a two-timescale optimal power flow problem with chance…

系统与控制 · 计算机科学 2014-09-17 Changhong Zhao , Michael Chertkov , Scott Backhaus

Human brain is functionally and physically complex. This 'complexity' can be seen as a result of biological design process involving extensive use of concepts such as modularity and hierarchy. Over the past decade, deeper insights into the…

新兴技术 · 计算机科学 2012-01-31 Alex Pappachen James , Fayaz Shariff , Akshay Kumar Maan

Regular firing neurons can be seen as oscillators. The phase-response curve (PRC) describes how such neurons will respond to small excitatory perturbations. Knowledge of the PRC is important as it is associated to the excitability type of…

神经元与认知 · 定量生物学 2010-01-05 Benjamin Torben-Nielsen , Marylka Uusisaari , Klaus M. Stiefel

Inspired by spiking neural feedback, we propose a spiking controller for efficient locomotion in a soft robotic crawler. Its bistability, akin to neural fast positive feedback, combined with a sensorimotor slow negative feedback loop,…

系统与控制 · 电气工程与系统科学 2026-02-19 Juncal Arbelaiz , Alessio Franci , Naomi Ehrich Leonard , Rodolphe Sepulchre , Bassam Bamieh

Elements of neural networks, both biological and artificial, can be described by their selectivity for specific cognitive features. Understanding these features is important for understanding the inner workings of neural networks. For a…

神经与进化计算 · 计算机科学 2026-04-28 Nikita Pospelov , Andrei Chertkov , Maxim Beketov , Ivan Oseledets , Konstantin Anokhin

Since the first recordings made of evoked action potentials it has become apparent that the responses of individual neurons to ongoing physiologically relevant input, are highly variable. This variability is manifested in non-stationary…

神经元与认知 · 定量生物学 2010-08-10 Avner Wallach , Danny Eytan , Asaf Gal , Christoph Zrenner , Ron Meir , Shimon Marom

A fundamental problem in neuroscience is to understand how sequences of action potentials ("spikes") encode information about sensory signals and motor outputs. Although traditional theories of neural coding assume that information is…

Experiments in coherent spectroscopy correspond to control of quantum mechanical ensembles guiding them from initial to final target states. The control inputs (pulse sequences) that accomplish these transformations should be designed to…

量子物理 · 物理学 2009-11-07 Navin Khaneja , Timo Reiss , Burkhard Luy , Steffen J. Glaser

This paper treats an optimal scheduling problem of control nodes in networked systems. We newly introduce both the L0 and l0 constraints on control inputs to extract a time-varying small number of effective control nodes. As the cost…

最优化与控制 · 数学 2021-08-31 Takuya Ikeda , Kazunori Sakurama , Kenji Kashima

Spiking neural networks (SNNs) are energy-efficient neural networks because of their spiking nature. However, as the spike firing rate of SNNs increases, the energy consumption does as well, and thus, the advantage of SNNs diminishes. Here,…

机器学习 · 计算机科学 2024-01-15 Kazuma Suetake , Takuya Ushimaru , Ryuji Saiin , Yoshihide Sawada

The effect of environmental temperature on neuronal spiking behaviors is investigated by numerically simulating the temperature dependence of spiking threshold of the Hodgkin-Huxley neuron subject to synaptic stimulus. We find that the…

神经元与认知 · 定量生物学 2009-11-13 Shenbing Kuang , Jiafu Wang , Ting Zeng , Aiyin Cao

We show that for two identical neuronal oscillators with strictly positive phase resetting curve, isochronous synchrony is an unstable attractor and arbitrarily weak noise can destroy entrainment and generate intermittent phase slips. Small…

神经元与认知 · 定量生物学 2016-11-18 Ehsan Bolhasani , Alireza Valizadeh

We study feedback control of coupled nonlinear stochastic oscillators in a force field. We first consider the problem of asymptotically driving the system to a desired {\em steady state} corresponding to reduced thermal noise. Among the…

数学物理 · 物理学 2015-07-02 Yongxin Chen , Tryphon Georgiou , Michele Pavon

A bump attractor network is a model that implements a competitive neuronal process emerging from a spike pattern related to an input source. Since the bump network could behave in many ways, this paper explores some critical limits of the…

神经与进化计算 · 计算机科学 2020-03-31 Alberto Arturo Vergani , Christian Robert Huyck

A minimalistic model of the half-center oscillator is proposed. Within it, we consider dynamics of two excitable neurons interacting by means of the excitatory coupling. In the parameter space of the model, we identify the regions of…

动力系统 · 数学 2021-03-02 A. G. Korotkov , T. A. Levanova , M. A. Zaks , G. V. Osipov

We consider a threshold-crossing spiking process as a simple model for the activity within a population of neurons. Assuming that these neurons are driven by a common fluctuating input with Gaussian statistics, we evaluate the…

神经元与认知 · 定量生物学 2009-06-11 Yoram Burak , Sam Lewallen , Haim Sompolinsky

The Hodgkin-Huxley equations constitute one of the more realistic neuronal models in literature and the most accepted one. It is well known that, depending on the value of the external stimuli current, it exhibits periodic solutions, both…

动力系统 · 数学 2015-11-09 A. Balti , V. Lanza , M. A. Aziz-Alaou