Traveling fronts for lattice neural field equations
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Publication:1755139
DOI10.1016/j.physd.2018.04.004zbMath1404.35083OpenAlexW2803066559MaRDI QIDQ1755139
Publication date: 7 January 2019
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2018.04.004
Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Traveling wave solutions (35C07)
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Cites Work
- Waves in neural media. From single neurons to neural fields
- Existence of pulses in excitable media with nonlocal coupling
- Dynamics of pattern formation in lateral-inhibition type neural fields
- The Fredholm alternative for functional-differential equations of mixed type
- The global structure of traveling waves in spatially discrete dynamical systems
- Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
- A discrete convolution model for phase transitions
- Waves, bumps, and patterns in neural field theories
- Monotone traveling waves for delayed neural field equations
- Existence and Stability of Traveling Pulses in a Neural Field Equation with Synaptic Depression
- Fredholm properties of nonlocal differential operators via spectral flow
- Propagation failure in the discrete Nagumo equation
- Spatiotemporal dynamics of continuum neural fields
- Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
- Periodic traveling waves and locating oscillating patterns in multidimensional domains
- Existence and uniqueness of travelling waves for a neural network
- Traveling Waves of Bistable Dynamics on a Lattice
- Nonlinear Stability of Semidiscrete Shock Waves
- A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue
- Stability of pulse solutions for the discrete FitzHugh–Nagumo system
- Neurons with graded response have collective computational properties like those of two-state neurons.
- Spectral analysis of traveling waves for nonlocal evolution equations
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