From c82d2709f721bfac91a1921f9f88d98ce2c63299 Mon Sep 17 00:00:00 2001 From: EnfxcFCb6 Date: Wed, 9 Jul 2025 16:12:45 -0400 Subject: [PATCH] Standardized README to Markdown format --- README.md | 22 ++++++++++++++++++++++ index.html | 33 --------------------------------- 2 files changed, 22 insertions(+), 33 deletions(-) create mode 100644 README.md delete mode 100644 index.html diff --git a/README.md b/README.md new file mode 100644 index 0000000..5662d6a --- /dev/null +++ b/README.md @@ -0,0 +1,22 @@ +# For the paper: + +Brette R (2004) Dynamics of one-dimensional spiking neuron models. *J Math Biol* 48:38-56 + +## Abstract: + +In this paper we make a rigorous mathematical analysis of one-dimensional spiking neuron models in a unified framework. We find that, under conditions satisfied in particular by the periodically and aperiodically driven leaky integrator as well as some of its variants, the spike map is increasing on its range, which leaves no room for chaotic behavior. A rigorous expression of the Lyapunov exponent is derived. Finally, we analyse the periodically driven perfect integrator and show that the restriction of the phase map to its range is always conjugated to a rotation, and we provide an explicit expression of the invariant measure. + +A brian simulator model is available at this web page: +[http://briansimulator.org/docs/examples-frompapers_Brette_2004.html](http://briansimulator.org/docs/examples-frompapers_Brette_2004.html) + +The simulation generates an image similar to Fig. 2A in the paper: + +![screenshot](./screenshot.png) + +This simulation requires Brian which can be downloaded and installed from the instructions available at [http://www.briansimulator.org/](http://www.briansimulator.org/) + +For support on installing and using Brian simulations there is a support group at [https://groups.google.com/group/briansupport](https://groups.google.com/group/briansupport). + +--- + +2025-07-09: Converted README to Markdown. \ No newline at end of file diff --git a/index.html b/index.html deleted file mode 100644 index c4f0baf..0000000 --- a/index.html +++ /dev/null @@ -1,33 +0,0 @@ -
-For the paper:
-
-Brette R (2004) Dynamics of one-dimensional spiking neuron models. J
-Math Biol 48:38-56
-
-Abstract:
-
-In this paper we make a rigorous mathematical analysis of
-one-dimensional spiking neuron models in a unified framework. We find
-that, under conditions satisfied in particular by the periodically and
-aperiodically driven leaky integrator as well as some of its variants,
-the spike map is increasing on its range, which leaves no room for
-chaotic behavior. A rigorous expression of the Lyapunov exponent is
-derived. Finally, we analyse the periodically driven perfect
-integrator and show that the restriction of the phase map to its range
-is always conjugated to a rotation, and we provide an explicit
-expression of the invariant measure.
-
-A brian simulator model is available at this web page:
-
-http://briansimulator.org/docs/examples-frompapers_Brette_2004.html
-
-The simulation generates an image similar to Fig. 2A in the paper:
-
-screenshot
-
-This simulation requires Brian which can be downloaded and installed
-from the instructions available at http://www.briansimulator.org/
-
-For support on installing and using Brian simulations there is a
-support group at https://groups.google.com/group/briansupport.
-