Bifurcation diagram for the Rossler Chaotic system
Compute the bifurcation, or continuation, diagram for the Rossler chaotic system
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This code can be used to compute the bifurcation diagram for the Rossler chaotic system.
The diagram is generated by simulating the system from fixed initial conditions, and after discarding the transient, computing the intersections of the trajectory with a given plane of choice, and a specific direction.
The code can be easily adapted to compute a continuation diagram, where after each simulation, the initial condition is set equal to the final value of the previous simulation.
The code can also be easily adapted to any chaotic system, not just the Rossler. What you need to do is replace the rossler call in the ode45 with any chaotic system of your choice. Of course, you must first study the system to choose the appropriate plane of intersection for the system's trajectory.
An illustrative video explaining the bifurcation diagram (for the Lorenz system) can be found below.
A video explaining the code is available here:
An illustrative video for the continuation diagram can be found below.
References:
Cite As
Lazaros Moysis (2026). Bifurcation diagram for the Rossler Chaotic system (https://www.mathworks.com/matlabcentral/fileexchange/157411-bifurcation-diagram-for-the-rossler-chaotic-system), MATLAB Central File Exchange. Retrieved .
Acknowledgements
Inspired by: Bifurcation diagram for the Lorenz Chaotic system
Inspired: Bifurcation diagram for the Rossler system (local maxima)
General Information
- Version 1.0.2 (2.31 KB)
MATLAB Release Compatibility
- Compatible with any release
Platform Compatibility
- Windows
- macOS
- Linux
