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_animation◀  rep_cubic_map    |    rep_three_coupled_oscillators  ▶

rep_three_coupled_oscillators_animation

Arguments:

  • _max_iter>0,-2pi<=_k_a_1<=2pi,-2pi<=_k_b_1<=2pi,-2pi<=_k_a_2<=2pi,-2pi<=_k_b_2<=2pi,_sublevel>=0,-360<=_ang_a<=360,-360<=_ang_b<=360,_ox_a,_oy_a,_ox_b,_oy_b,_axis_scale_a>0,_axis_scale_b>0

Description:

Animation-based version of 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_1 is the a-variable that influence the output for first frame.
_k_b_1 is the b-variable that influence the output for first frame.
_k_a_2 is the a-variable that influence the output for last frame.
_k_b_2 is the b-variable that influence the output for last frame.
_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_a defines the angle of function for first frame.
_ang_b defines the angle of function for last frame.
_ox_a defines the x-offset of function for first frame.
_oy_a defines the y-offset of function for first fraime.
_ox_b defines the x-offset of function for last frame.
_oy_b defines the y-offset of function for last frame.
_axis_scale_a defines the scale of each axis for first frame.
_axis_scale_b defines the scale of each axis for last frame.
 
Author: Reptorian.

Default values:

_max_iter=50,_k_a_1=u(-2*pi,2*pi),_k_b_1=u(-2*pi,2*pi),_k_a_2=u(-2*pi,2*pi),_k_b_2=u(-2*pi,2*pi),_sublevel=1,_ang_a=0,_ang_b=0,_ox_a=0,_oy_a=0,_ox_b=0,_oy_b=1,_axis_scale_a=1,_axis_scale_b=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.