| Name | ddeint JSON |
| Version |
0.3.0
JSON |
| download |
| home_page | None |
| Summary | Scipy-based Delay Differential Equations solver |
| upload_time | 2024-08-27 03:20:46 |
| maintainer | None |
| docs_url | None |
| author | Zulko |
| requires_python | >=3.8 |
| license | CCO |
| keywords |
|
| VCS |
 |
| bugtrack_url |
|
| requirements |
No requirements were recorded.
|
| Travis-CI |
No Travis.
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| coveralls test coverage |
No coveralls.
|
# ddeint
[](https://pypi.org/project/ddeint/)
[](https://github.com/zulko/ddeint/actions/workflows/test.yml)
[](https://github.com/zulko/ddeint/releases)
Scipy-based delay differential equation (DDE) solver. See the docstrings and examples for more infos.
## Examples
```python
from pylab import cos, linspace, subplots
from ddeint import ddeint
# We solve the following system:
# Y(t) = 1 for t < 0
# dY/dt = -Y(t - 3cos(t)**2) for t > 0
def values_before_zero(t):
return 1
def model(Y, t):
return -Y(t - 3 * cos(Y(t)) ** 2)
tt = linspace(0, 30, 2000)
yy = ddeint(model, values_before_zero, tt)
fig, ax = subplots(1, figsize=(4, 4))
ax.plot(tt, yy)
ax.figure.savefig("variable_delay.jpeg")
```
```python
from pylab import array, linspace, subplots
from ddeint import ddeint
# We solve the following system:
# X(t) = 1 (t < 0)
# Y(t) = 2 (t < 0)
# dX/dt = X * (1 - Y(t-d)) / 2
# dY/dt = -Y * (1 - X(t-d)) / 2
def model(Y, t, d):
x, y = Y(t)
xd, yd = Y(t - d)
return array([0.5 * x * (1 - yd), -0.5 * y * (1 - xd)])
g = lambda t: array([1, 2])
tt = linspace(2, 30, 20000)
fig, ax = subplots(1, figsize=(4, 4))
for d in [0, 0.2]:
print("Computing for d=%.02f" % d)
yy = ddeint(model, g, tt, fargs=(d,))
# WE PLOT X AGAINST Y
ax.plot(yy[:, 0], yy[:, 1], lw=2, label="delay = %.01f" % d)
ax.figure.savefig("lotka.jpeg")
```
## Licence
Public domain. Everyone is welcome to contribute !
## Installation
ddeint can be installed by unzipping the source code in one directory and using this command: ::
(sudo) python setup.py install
You can also install it directly from the Python Package Index with this command: ::
(sudo) pip install ddeint
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