Scicos Diagram
fr - eng

##
Lorentz equation

### Module

- Scicos

### Contents

- Lorentz equation
  - Module
  - Description
  - Context
  - Scope Results
  - Used blocks
  - Authors

### Description

The Lorentz's system is defined by the following continuous system :

The state variables , and are respectively temperature of the air, speed of wind and a third variable which represents the variation of temperature according to the altitude.

### Context

    //set sampling time
    Tsampl=3e-3

    //set parameters
    a=10
    b=28
    c=8/3

    //set initial conditions
    ci1=[5.5;5.49;5.51;5.511]
    ci2=[5;4.99;5.01;5.011]
    ci3=[20;19.99;20.01;20.011]

    //set colors for scopes
    vcol=[0;3;5;9]

    //set end simulation time
    Tfin=30

### Scope Results

Figure : (a) Time domain waveforms of state variables (x,y,z)
Figure : (b) Trajectories in the phase plan (x,y,z)
Figure : Scope results

### Used blocks

- CANIMXY - y=f(x) animated viewer
- CANIMXY3D - z=f(x,y) animated viewer
- CLKSPLIT_f - Event link split
- CLOCK_f - Activation clock (Old block)
- CMSCOPE - Multi display scope
- ENDBLK - END block
- GAINBLK - Gain
- INTEGRAL - Integration (Old block)
- PROD_f - Multiplication
- SPLIT_f - Regular link split
- SUM_f - Addition
- TEXT_f - Text

### Authors

Alan Layec INRIA