Code in FORTRAN to save the phase space of a given map

## Requirements ##
A FORTRAN compiler. In ubuntu software you can get via:

apt-get install gfortran

You can plot the phase space via GNUPLOT. In ubuntu software you can get via:

apt-get install gnuplot

## Run ## 
In ubuntu terminal, you can compile and run the code via: 
 
gfortran program_phase_space.for && ./a.out

## Maps ## 
There are 3 maps by default on the code: 
Chirikov-Taylor or Standard map;
Simplified Fermi-Ulam map;
Boozer or Tokamak divertor map.
You can insert your map creating an additional subroutine and following the syntax of the others. 

## Usage ## 
You have to set a few parameters at the beginning of each simulation, all commented on the code; 
You have to set the control parameter value. There are examples for each map;
You have to set the size of the phase space. There are usual values for each map;
You have to choose if you want initial conditions distributed along the phase space or centered in a specific region; 
You have to choose the map for evolution;
The set of initial conditions and the phase space will be saved in two different files at the .for folder as:
'initial_conditions.dat'
'phase_space.dat'

## Plotting ##
You can plot on GNUPLOT by the command:

plot 'phase_space.dat' w d, 'initial_conditions.dat' w p

AUTHOR: Matheus Palmero
LAST UPDATE: September 2020