-
Notifications
You must be signed in to change notification settings - Fork 0
Commit
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
Rename module to
Chaotic Modulations
and add README
- Loading branch information
Showing
13 changed files
with
38 additions
and
8 deletions.
There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,5 @@ | ||
# Custom units for the ER-301 | ||
|
||
Unless otherwise stated these units are for v0.6 firmware. | ||
|
||
* [Chaotic Mods](./chaoticmods) |
File renamed without changes.
File renamed without changes.
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
File renamed without changes.
File renamed without changes.
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,23 @@ | ||
# Chaotic Modulations | ||
|
||
Basic chaotic modulation source units. | ||
|
||
## Logistic Map | ||
|
||
A clocked modulation source modelling the basic [logistic map](https://en.wikipedia.org/wiki/Logistic_map) equation. | ||
|
||
<img src="./logisticmap.png"> | ||
|
||
Other than the clock input, there is a single parameter `r`. With `r` in the range `[3.56995, 4]` the sequence is chaotic for most values of `r`. Smaller values of `r` in that range exhibit more periods of (approximately) periodic behaviour, before sudden changes. With `r` Below 3.56995 the sequence will converge towards oscillating between 1, 2, 4 , 8, or 16 fixed values. | ||
|
||
## Lorenz system | ||
|
||
This is a continuous modulation source. | ||
|
||
<img src="./lorenz.png"> | ||
|
||
The [Lorenz system](https://en.wikipedia.org/wiki/Lorenz_system) is defined by a set of three ordinary differential equations. | ||
|
||
There other than the rate, there are three parameters in the differential equations that can be adjusted from their starting values of `ρ = 28`, `σ = 10`, and `β = 8/3`. Care must be taken: it's pretty easy to land on values where oscillation stops entirely. | ||
|
||
There are three options for the output corresponding to the the variables in the system of differential equations: `x`, `y`, and `z`. For many parameters `x` and `y` will exhibit quite similar behaviour, but not always. |
File renamed without changes.
Loading
Sorry, something went wrong. Reload?
Sorry, we cannot display this file.
Sorry, this file is invalid so it cannot be displayed.
Loading
Sorry, something went wrong. Reload?
Sorry, we cannot display this file.
Sorry, this file is invalid so it cannot be displayed.
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -1,17 +1,19 @@ | ||
return { | ||
name = "Modulations", | ||
title = "Modulations", | ||
name = "Chaotic Mods", | ||
title = "Chaotic Mods", | ||
author = "ljwall", | ||
units = { | ||
{ | ||
-- Title and category control how this unit appears in the unit browser. | ||
title = "Logistic Map", | ||
moduleName = "LogisticMap", | ||
category = "Chaotic Modulation", | ||
}, | ||
{ | ||
-- Title and category control how this unit appears in the unit browser. | ||
title = "Lorenz System", | ||
moduleName = "Lorenz", | ||
category = "Chaotic Modulation", | ||
}, | ||
} | ||
} |