G'MIC - GREYC's Magic for Image Computing: A Full-Featured Open-Source Framework for Image Processing
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A Full-Featured Open-Source Framework for Image Processing



Latest stable version: 4.0.4 (2026/08/19)

Reference
Table of Contents  ▸  List of Commands  ▸  Reptorian's Commands  ▸  rep_three_coupled_oscillators◀  rep_three_coupled_oscillators_animation    |    rep_permutations  ▶

rep_three_coupled_oscillators

Arguments:

  • _max_iter>0,-2pi<=_k_a<=2pi,-2pi<=_k_b<=2pi,_sublevel>=0,-360<=_ang<=360,_ox,_oy,_axis_scale>0

Description:

Bifurcation diagram for two-parameters of torus-map or three-coupled oscillators. [1]

 
--- Citation ---
1) C. Baesens, J. Guckenheimer, S. Kim, R.S. MacKay
Three coupled oscillators: mode-locking, global bifurcations and toroidal chaos
Physica D: Nonlinear Phenomena, Volume 49, Issue 3, 1991, Pages 387-475, ISSN 0167-2789
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_max_iter is the number of iterations within the bifurcation diagram.
_k_a is a variable that influence the output.
_k_b is a variable that influence the output.
_sublevel defines the degree of subpixel processing. 0 means no subpixel sampling. Negative  number in here means it will not be resized (Useful for mapping before downsizing to original image size.).
_ang defines the angle of function.
_ox defines the x-offset of function.
_oy defines the y-offset of function.
_axis_scale defines the scale of each axis.
 
Author: Reptorian.

Default values:

_max_iter=50,_k_a=u(-2*pi,2*pi),_k_b=u(-2*pi,2*pi),_sublevel=1,_ang=0,_ox=0,_oy=0,_axis_scale=1

G'MIC - GREYC's Magic for Image Computing: A Full-Featured Open-Source Framework for Image Processing

G'MIC is an open-source software distributed under the CeCILL free software licenses (LGPL-like and/or
GPL-compatible). Copyrights (C) Since July 2008, David Tschumperlé - GREYC UMR CNRS 6072, Image Team.