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New technologies for recording the activity of large neural populations during complex behavior provide exciting opportunities for investigating the neural computations that underlie perception, cognition, and decision-making. Nonlinear…

Machine Learning · Statistics 2020-06-30 Yuan Zhao , Il Memming Park

There is enormous interest -- both mathematically and in diverse applications -- in understanding the dynamics of coupled oscillator networks. The real-world motivation of such networks arises from studies of the brain, the heart, ecology,…

Dynamical Systems · Mathematics 2023-08-22 Stephen Coombes , Mustafa Sayli , Rüdiger Thul , Rachel Nicks , Mason A Porter , Yi Ming Lai

Throughout evolution the brain has mastered the art of processing real-world inputs through networks of interlinked spiking neurons. Synapses have emerged as key elements that, owing to their plasticity, are merging neuron-to-neuron…

Accurately modeling complex dynamic spatio-temporal systems requires capturing flow-mediated interdependencies and context-sensitive interaction dynamics. Existing methods, predominantly graph-based or attention-driven, rely on…

Machine Learning · Computer Science 2025-11-11 Yutong Feng , Xu Liu , Yutong Xia , Yuxuan Liang

Biological neural networks exist in physical space where distance influences communication delays: a fundamental coupling between space and time absent in most artificial neural networks. While recent work has separately explored spatial…

Neural and Evolutionary Computing · Computer Science 2026-01-27 Balázs Mészáros , James C. Knight , Danyal Akarca , Thomas Nowotny

The brain has computational capabilities that surpass those of modern systems, being able to solve complex problems efficiently in a simple way. Neuromorphic engineering aims to mimic biology in order to develop new systems capable of…

Neural and Evolutionary Computing · Computer Science 2023-10-10 Daniel Casanueva-Morato , Alvaro Ayuso-Martinez , Juan P. Dominguez-Morales , Angel Jimenez-Fernandez , Gabriel Jimenez-Moreno

Spiking neural networks (SNNs) are gaining popularity in the computational simulation and artificial intelligence fields owing to their biological plausibility and computational efficiency. This paper explores the historical development of…

Neural and Evolutionary Computing · Computer Science 2024-08-29 Tianyu Zheng , Liyuan Han , Tielin Zhang

The brain can efficiently learn a wide range of tasks, motivating the search for biologically inspired learning rules for improving current artificial intelligence technology. Most biological models are composed of point neurons, and cannot…

Neurons and Cognition · Quantitative Biology 2026-04-13 Cristiano Capone , Cosimo Lupo , Paolo Muratore , Pier Stanislao Paolucci

Lateral connection is a fundamental feature of biological neural circuits, facilitating local information processing and adaptive learning. In this work, we integrate lateral connections with a substructure selection network to develop a…

Neural and Evolutionary Computing · Computer Science 2025-04-01 Linghao Feng , Dongcheng Zhao , Sicheng Shen , Yi Zeng

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 investigate feedback control of the cooperative dynamics of two coupled neural oscillators that is induced merely by external noise. The interacting neurons are modelled as FitzHugh-Nagumo systems with parameter values at which no…

Chaotic Dynamics · Physics 2009-11-11 B. Hauschildt , N. B. Janson , A. Balanov , E. Schoell

An intriguing interpretation of the time-evolution of dynamical systems is to view it as a computation that transforms an initial state to a final one. This paradigm has been explored in discrete systems such as cellular automata models,…

Pattern Formation and Solitons · Physics 2014-05-13 Shakti N. Menon , Sitabhra Sinha

With the recent exponential growth of applications using artificial intelligence (AI), the development of efficient and ultrafast brain-like (neuromorphic) systems is crucial for future information and communication technologies. While the…

Pattern Formation and Solitons · Physics 2018-01-30 B. Romeira , J. M. L. Figueiredo , J. Javaloyes

This PhD thesis is focused on the central idea that single neurons in the brain should be regarded as temporally precise and highly complex spatio-temporal pattern recognizers. This is opposed to the prevalent view of biological neurons as…

Neurons and Cognition · Quantitative Biology 2023-09-27 David Beniaguev

Despite remarkable technological advances, AI systems may still benefit from biological principles, such as recurrent connectivity and energy-efficient mechanisms. Drawing inspiration from the brain, we present a biologically plausible…

In a recent paper, Suppes et al. (2012) [arXiv:arXiv:1010.3063] used neural oscillators to create a model, based on reasonable neurophysiological assumptions, of the behavioral stimulus-response (SR) theory. In this paper, we describe the…

Neurons and Cognition · Quantitative Biology 2012-10-04 J. Acacio de Barros , G. Oas

We present a method based on a time domain simulation of wave propagation that allows studying the optical response of a broad range of dielectric photonic structures. This method is particularly suitable for dealing with complex biological…

Computational Physics · Physics 2013-01-07 Andrés E. Dolinko , Diana C. Skigin

Physical systems exhibiting neuromechanical functions promise to enable structures with directly encoded autonomy and intelligence. We report on a class of neuromorphic metamaterials embodying bioinspired mechanosensing, memory, and…

Artificial neural networks and computational neuroscience models have made tremendous progress, allowing computers to achieve impressive results in artificial intelligence (AI) applications, such as image recognition, natural language…

Neural and Evolutionary Computing · Computer Science 2019-11-05 Giacomo Indiveri , Yulia Sandamirskaya

Spatiotemporal patterns are common in biological systems. For electrically-coupled cells previous studies of pattern formation have mainly used external forcing as the main bifurcation parameter. The purpose of this paper is to show that…

Dynamical Systems · Mathematics 2021-11-02 H. O. Fatoyinbo , R. G. Brown , D. J. W. Simpson , B. van Brunt
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