Subsystem Resetting of a Heterogeneous Network of Theta Neurons

Authors: Zhao, Na, Laing, Carlo R, Song, Jian, Liu, Shenquan

Subject Terms: Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/2412.03909

Periodic solutions for a pair of delay-coupled excitable theta neurons

Authors: Laing, Carlo R., Krauskopf, Bernd

Subject Terms: Nonlinear Sciences - Pattern Formation and Solitons, Quantitative Biology - Neurons and Cognition

Access URL: http://arxiv.org/abs/2412.06804

Activity patterns in ring networks of quadratic integrate-and-fire neurons with synaptic and gap junction coupling

Authors: Omel'chenko, Oleh E., Laing, Carlo R.

Subject Terms: Nonlinear Sciences - Adaptation and Self-Organizing Systems, Nonlinear Sciences - Pattern Formation and Solitons

Access URL: http://arxiv.org/abs/2406.01881

Periodic solutions in next generation neural field models

Authors: Laing, Carlo R., Omel'chenko, Oleh E.

Subject Terms: Nonlinear Sciences - Adaptation and Self-Organizing Systems

Access URL: http://arxiv.org/abs/2306.10398

Subsystem resetting of a heterogeneous network of theta neurons

Authors: Zhao, Na ^{a, b}, Laing, Carlo R. ^b, Song, Jian ^a, Liu, Shenquan ^{a, ⁎}

Source: In Physica A: Statistical Mechanics and its Applications 15 March 2025 662

A dynamical analysis of collective behavior in a multi-population network with infinite theta neurons

Authors: Song, Jian ^{a, b}, Laing, Carlo R. ^b, Liu, Shenquan ^{a, ⁎}

Source: In Physica D: Nonlinear Phenomena February 2025 472

Theta neuron subject to delayed feedback: a prototypical model for self-sustained pulsing

Authors: Laing, Carlo R., Krauskopf, Bernd

Subject Terms: Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/2205.03904

Chimeras with uniformly distributed heterogeneity: two coupled populations

Authors: Laing, Carlo R.

Subject Terms: Mathematics - Dynamical Systems, Nonlinear Sciences - Adaptation and Self-Organizing Systems

Access URL: http://arxiv.org/abs/2201.12491

Global and Local Reduced Models for Interacting, Heterogeneous Agents

Authors: Thiem, Thomas N., Kemeth, Felix P., Bertalan, Tom, Laing, Carlo R., Kevrekidis, Ioannis G.

Subject Terms: Nonlinear Sciences - Adaptation and Self-Organizing Systems

Access URL: http://arxiv.org/abs/2105.09398

The effects of degree distributions in random networks of Type-I neurons

Authors: Laing, Carlo R.

Subject Terms: Mathematics - Dynamical Systems, Nonlinear Sciences - Adaptation and Self-Organizing Systems

Access URL: http://arxiv.org/abs/2104.14666

Learning emergent PDEs in a learned emergent space

Authors: Kemeth, Felix P., Bertalan, Tom, Thiem, Thomas, Dietrich, Felix, Moon, Sung Joon, Laing, Carlo R., Kevrekidis, Ioannis G.

Subject Terms: Nonlinear Sciences - Adaptation and Self-Organizing Systems, Computer Science - Machine Learning, Nonlinear Sciences - Pattern Formation and Solitons, Physics - Computational Physics, Statistics - Machine Learning

Access URL: http://arxiv.org/abs/2012.12738

Ion channels and the diversity of spontaneous firing in anterior pituitary corticotrophs: A dynamical analysis

Authors: Song, Jian ^a, Laing, Carlo R. ^b, Liu, Shenquan ^{a, ⁎}

Source: In Communications in Nonlinear Science and Numerical Simulation April 2024 131

Emergent spaces for coupled oscillators

Authors: Thiem, Thomas N., Kooshkbaghi, Mahdi, Bertalan, Tom, Laing, Carlo R., Kevrekidis, Ioannis G.

Subject Terms: Nonlinear Sciences - Adaptation and Self-Organizing Systems, Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2004.06053

Moving bumps in theta neuron networks

Authors: Laing, Carlo R., Omel'chenko, Oleh

Source: Chaos 30, 043117 (2020)

Subject Terms: Nonlinear Sciences - Adaptation and Self-Organizing Systems

Access URL: http://arxiv.org/abs/2004.00699

The effects of within-neuron degree correlations in networks of spiking neurons

Authors: Laing, Carlo R., Blasche, Christian

Subject Terms: Nonlinear Sciences - Adaptation and Self-Organizing Systems

Access URL: http://arxiv.org/abs/2004.00240

Degree assortativity in networks of spiking neurons

Authors: Blasche, Christian, Means, Shawn, Laing, Carlo R.

Subject Terms: Nonlinear Sciences - Adaptation and Self-Organizing Systems

Access URL: http://arxiv.org/abs/2004.00206

Dynamics and stability of chimera states in two coupled populations of oscillators

Authors: Laing, Carlo R.

Subject Terms: Nonlinear Sciences - Chaotic Dynamics, Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/1908.09938

Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review

Authors: Bick, Christian, Goodfellow, Marc, Laing, Carlo R., Martens, Erik A.

Source: Journal of Mathematical Neuroscience, 10(1):9, 2020

Subject Terms: Nonlinear Sciences - Adaptation and Self-Organizing Systems, Mathematics - Dynamical Systems, Nonlinear Sciences - Pattern Formation and Solitons, Physics - Biological Physics

Access URL: http://arxiv.org/abs/1902.05307

Explosive behaviour in networks of Winfree oscillators

Authors: Means, Shawn, Laing, Carlo R.

Source: In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena July 2022 160

Dimension reduction in heterogeneous neural networks: generalized Polynomial Chaos (gPC) and ANalysis-Of-VAriance (ANOVA)

Authors: Choi, Minseok, Bertalan, Tom, Laing, Carlo R., Kevrekidis, Ioannis G.

Subject Terms: Nonlinear Sciences - Adaptation and Self-Organizing Systems

Access URL: http://arxiv.org/abs/1603.06643