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In our previous work, we proposed a novel neuron model based on symmetric differential equations and demonstrated its potential as an efficient signal propagator. Building upon that foundation, the present study delves deeper into the…

Neural and Evolutionary Computing · Computer Science 2025-08-01 Kun Jiang

We show that gating mechanisms in recurrent neural networks (RNNs) induce lag-dependent and direction-dependent effective learning rates, even when training uses a fixed, global step size. This behavior arises from a coupling between…

Machine Learning · Computer Science 2026-04-22 Lorenzo Livi

Phase response curves are important for analysis and modeling of oscillatory dynamics in various applications, particularly in neuroscience. Standard experimental technique for determining them requires isolation of the system and…

Adaptation and Self-Organizing Systems · Physics 2018-09-20 Rok Cestnik , Michael Rosenblum

This paper presents a novel learning-based approach for online state estimation in flapping wing aerial vehicles (FWAVs). Leveraging low-cost Magnetic, Angular Rate, and Gravity (MARG) sensors, the proposed method effectively mitigates the…

Systems and Control · Electrical Eng. & Systems 2025-04-30 Chen Qian , Jiaxi Xing , Jifu Yan , Mingyu Luo , Shiyu Song , Xuyi Lian , Yongchun Fang , Fei Gao , Tiefeng Li

The activation/repression of a given gene is typically regulated by multiple transcription factors (TFs) that bind at the gene regulatory region and recruit RNA polymerase (RNAP). The interactions between the promoter region and TFs and…

Molecular Networks · Quantitative Biology 2009-07-14 Herbert Sauro , Song Yang

In this article, we present a new model for a synchronous generator based on phasor measurement units (PMUs) data. The proposed sub-transient model allows to estimate the dynamic state variables as well as to calibrate model parameters. The…

Signal Processing · Electrical Eng. & Systems 2018-07-16 Pablo Marchi , Francisco Messina , Leonardo Rey Vega , Cecilia Galarza

Agents in partially observable environments require persistent memory to integrate observations over time. While KGs (knowledge graphs) provide a natural representation for such evolving state, existing benchmarks rarely expose agents to…

Artificial Intelligence · Computer Science 2026-02-26 Taewoon Kim , Vincent François-Lavet , Michael Cochez

We develop a framework for self-induced phase changes in programmable matter in which a collection of agents with limited computational and communication capabilities can collectively perform appropriate global tasks in response to local…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-28 Shunhao Oh , Dana Randall , Andréa W. Richa

We present a model of systems of cells with intracellular oscillators (`clocks'). This is motivated by examples from developmental biology and from the behavior of organisms on the threshold to multicellularity. Cells undergo random motion…

Analysis of PDEs · Mathematics 2024-02-09 Tilmann Glimm , Daniel Gruszka

Neural dynamical systems with stable attractor structures, such as point attractors and continuous attractors, are hypothesized to underlie meaningful temporal behavior that requires working memory. However, working memory may not support…

Neurons and Cognition · Quantitative Biology 2023-08-25 Il Memming Park , Ábel Ságodi , Piotr Aleksander Sokół

The activity of collections of synchronizing neurons can be represented by weakly coupled nonlinear phase oscillators satisfying Kuramoto's equations. In this article, we build such neural-oscillator models, partly based on…

Neurons and Cognition · Quantitative Biology 2012-04-27 Patrick Suppes , Jose Acacio de Barros , Gary Oas

We introduce an extension to the standard reduction of oscillatory systems to a single phase variable. The standard reduction is often insufficient, particularly when the oscillations have variable amplitude and the magnitude of each…

Neurons and Cognition · Quantitative Biology 2024-11-12 Avinash J. Karamchandani

Following the long-lived qualitative-dynamics tradition of explaining behavior in complex systems via the architecture of their attractors and basins, we investigate the patterns of switching between qualitatively distinct trajectories in a…

Adaptation and Self-Organizing Systems · Physics 2016-09-02 Jeffrey Emenheiser , Airlie Chapman , Márton Pósfai , James P. Crutchfield , Mehran Mesbahi , Raissa M. D'Souza

Oscillators are ubiquitous in nature, and usually associated with the existence of an asymptotic phase that governs the long-term dynamics of the oscillator. % We show that asymptotic phase can be estimated using a carefully chosen series…

Dynamical Systems · Mathematics 2022-03-10 Simon Wilshin , Matthew D. Kvalheim , Clayton Scott , Shai Revzen

Dynamic functional connectivity, as measured by the time-varying covariance of neurological signals, is believed to play an important role in many aspects of cognition. While many methods have been proposed, reliably establishing the…

Methodology · Statistics 2019-10-30 Lingge Li , Dustin Pluta , Babak Shahbaba , Norbert Fortin , Hernando Ombao , Pierre Baldi

Current backscatter channel estimators employ an inefficient silent pilot transmission protocol, where tags alternate between silent and active states. To enhance performance, we propose a novel approach where tags remain active…

Signal Processing · Electrical Eng. & Systems 2023-10-04 Fatemeh Rezaei , Diluka Galappaththige , Chintha Tellambura , Amine Maaref

Random networks of symmetrically coupled, excitable elements can self-organize into coherently oscillating states if the networks contain loops (indeed loops are abundant in random networks) and if the initial conditions are sufficiently…

Disordered Systems and Neural Networks · Physics 2015-05-19 Patrick McGraw , Michael Menzinger

We study populations of oscillators, all-to-all coupled by means of quenched disordered phase shifts. While there is no traditional synchronization transition with a nonvanishing Kuramoto order parameter, the system demonstrates a specific…

Adaptation and Self-Organizing Systems · Physics 2024-07-19 Arkady Pikovsky , Franco Bagnoli

A system of globally coupled phase oscillators subject to an external input is considered as a simple model of neural circuits coding external stimulus. The information coding efficiency of the system in its asynchronous state is quantified…

Disordered Systems and Neural Networks · Physics 2008-06-23 Hiroya Nakao

Neural encoding of objects and cognitive states remains an elusive yet crucial aspect of brain function. While traditional feed-forward machine learning neural networks have enormous potential to encode information, modern architectures…

Neurons and Cognition · Quantitative Biology 2025-03-10 Alexander Pei