This repository contains three C source files (kuramoto.c, stuartlandau.c, and twolayer.c), which contain code to simulate coupled oscillators, and three Mathematica notebooks (kuramoto.nb, stuartlandau.nb, and twolayer.nb), which plot results, and scripts for running batches.
Compiling requires the gnu scientific library: https://www.gnu.org/software/gsl/.
Compile each .c file with gcc, as in
gcc -o kuramoto kuramoto.c -lgsl -lgslcblas -lm
Running with the -h flag gives usage. For example, ./kuramoto -h outputs
usage: ./kuramoto [-n NUM] [-c K] [-f FREQUENCIES] [-C] [-t TIME] [-a ATIME] [-o OTIME] [-d DT] [-D DT2] [-i SIGMA] [-s SEED] [-y TYPE][-v] filebase
optional arguments:
-a ATIME, --animate ATIME Time to start outputting animation data. Default 1e1.
-C, --common Use common noise.
-c C, --coupling C Coupling constant. Default 0.95.
-d DT, --dt DT Integration timestep. Default 1e-3.
-D DT2, --noisestep DT2 Noise sampling rate. Default 1e-2.
-i SIGMA, --intensity SIGMA Noise intensity. Default 1.
-n NUM, --num NUM Number of grid points in each dimension. Default 1536.
-o OTIME, --order OTIME Time to begin averaging order parameter. Default 5e2.
-s SEED, --seed SEED Random seed. Default 1.
-t TIME, --time TIME Total integration time. Default 1e1.
-v, --verbose Verbose output.
-y, --type Noise type. 0 for multiplicative gamma, 1 for additive constant phase sensitivity, 2 for additive trigonometric sensitivity. Default 1.
positional arguments:
filebase Base file name for output. filebaseout.dat contains time step data, outlast.dat contains the last state, outanimation.dat contains the states after ta.
Each program produces a filebase.out file, containing information about the command that was run and the results, and a filebase.dat file, containing binary data of all the oscillators states starting at the time specified by the -a flag.