Control of Nonlinear Wave Solutions to Neural Field Equations
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Publication:5238220
DOI10.1137/18M1197278zbMath1435.45005arXiv1806.10938MaRDI QIDQ5238220
Harald Engel, Alexander Ziepke, Steffen Martens
Publication date: 28 October 2019
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.10938
Integro-partial differential equations (45K05) Neural biology (92C20) Application models in control theory (93C95) Inverse problems for integral equations (45Q05)
Related Items (2)
Cites Work
- Waves in neural media. From single neurons to neural fields
- Singular perturbation theory of traveling waves in excitable media (A review)
- Dynamics of pattern formation in lateral-inhibition type neural fields
- A mathematical theory of visual hallucination patterns
- Sensory feedback in a bump attractor model of path integration
- Two-bump solutions of Amari-type models of neuronal pattern formation
- Interface dynamics in planar neural field models
- Delay stabilizes stochastic motion of bumps in layered neural fields
- Waves, bumps, and patterns in neural field theories
- Spatially Structured Activity in Synaptically Coupled Neuronal Networks: II. Lateral Inhibition and Standing Pulses
- Wandering Bumps in Stochastic Neural Fields
- Traveling Bumps and Their Collisions in a Two-Dimensional Neural Field
- The Motion of Untwisted Untorted Scroll Waves in Belousov-Zhabotinsky Reagent
- Spatiotemporal dynamics of continuum neural fields
- Multiple Bumps in a Neuronal Model of Working Memory
- Controlling chimeras
- Traveling Pulses and Wave Propagation Failure in Inhomogeneous Neural Media
- Inverse Problems in Neural Field Theory
- Existence and uniqueness of travelling waves for a neural network
- Stability and Bifurcations in Neural Fields with Finite Propagation Speed and General Connectivity
- Evans Functions for Integral Neural Field Equations with Heaviside Firing Rate Function
- The Quasi-Steady-State Assumption: A Case Study in Perturbation
- A Neural Approach to Cognition Based on Dynamic Field Theory
- Patterns and Features of Families of Traveling Waves in Large‐Scale Neuronal Networks
- Stimulus-Driven Traveling Solutions in Continuum Neuronal Models with a General Smooth Firing Rate Function
- Weakly Interacting Pulses in Synaptically Coupled Neural Media
- Spiral Waves in Nonlocal Equations
- Traveling fronts and wave propagation failure in an inhomogeneous neural network
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