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- Fatihcan M. Atay, Axel Hutt
- SIAM Journal of Applied Mathematics
- 2004

A stability analysis is presented for neural field equations in the presence of finite propagation speed along axons and for a general class of connectivity kernels and synaptic properties.â€¦ (More)

- Axel Hutt, Michael Bestehorn, Thomas Wennekers
- Network
- 2003

This paper introduces a neuronal field model for both excitatory and inhibitory connections. A single integro-differential equation with delay is derived and studied at a critical point by stabilityâ€¦ (More)

- Fatihcan M. Atay, Axel Hutt
- SIAM J. Applied Dynamical Systems
- 2006

We introduce distributed axonal transmission speeds and a long-range constant feedback loop into the standard neural field model. We analyze the stability of spatially homogeneous equilibriumâ€¦ (More)

- Axel Hutt, AndrÃ© Longtin
- Cognitive Neurodynamics
- 2009

The neuronal mechanisms of general anesthesia are still poorly understood. Besides several characteristic features of anesthesia observed in experiments, a prominent effect is the bi-phasic change ofâ€¦ (More)

- Axel Hutt
- 2009

- Axel Hutt
- Front. Comput. Neurosci.
- 2013

The work introduces a linear neural population model that allows to derive analytically the power spectrum subjected to the concentration of the anesthetic propofol. The analytical study of the powerâ€¦ (More)

- Meysam Hashemi, Axel Hutt, Jamie Sleigh
- Front. Syst. Neurosci.
- 2014

The role of extra-synaptic receptors in the regulation of excitation and inhibition in the brain has attracted increasing attention. Because activity in the extra-synaptic receptors plays a role inâ€¦ (More)

- Axel Hutt
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2007

The work proposes and studies a model for one-dimensional spatially extended systems, which involve nonlocal interactions and finite propagation speed. It shows that the general reaction-diffusionâ€¦ (More)

- Kristin K. Sellers, Davis V. Bennett, Axel Hutt, James Williams, Flavio FrÃ¶hlich
- Journal of neurophysiology
- 2015

During general anesthesia, global brain activity and behavioral state are profoundly altered. Yet it remains mostly unknown how anesthetics alter sensory processing across cortical layers andâ€¦ (More)

- Axel Hutt
- 2005

This work studies the stability and the stochastic properties of neural activity evoked by external stimulation. The underlying nonlocal model describes the spatiotemporal response dynamics of neuralâ€¦ (More)