Rössler equations solver

This webpage uses the Runge-Kutta-Fehlberg fourth-order method with fifth-order error checking (RKF45) to approximate the solution to Rössler equations

dxdt=−y−zdydt=x+aydzdt=b+z(x−c).\begin{aligned} \dfrac{dx}{dt} &= - y - z \\ \dfrac{dy}{dt} &= x + ay \\ \dfrac{dz}{dt} &= b + z(x-c). \end{aligned}
Simulation parameter form.
Parameter Value Explanation
Problem parameter
Problem parameter
Problem parameter
End time for the simulation in seconds (s)
Initial xx coordinate.
Initial yy coordinate.
Initial zz coordinate.
Error tolerance.
Tolerance type, can be either absolute (0) or relative (1).
Initial step size.
Minimum allowed step size.
Time increment for skipping ahead in animation.
Time you want to skip ahead to in animation when you press the skip button.
Width (in px) of Plotly windows used for plotting and animation below.
Height (in px) of Plotly windows used for plotting and animation below.
Proportion of animation time passed per real time. tScale=1.0t_{\mathrm{Scale}}=1.0 means animation and real time match. tScale<1.0t_{\mathrm{Scale}}<1.0 means the animation is going more slowly than real time. tScale>1.0t_{\mathrm{Scale}}>1.0 means it is going more rapidly.

© Brenton Horne. I do not claim to be infallible, so feel free to open issues or pull requests on GitHub if you notice flaws or things that can be improved.
I favour Oxford spelling, so if you notice I generally use different spelling to Australian spelling, that is probably why.
Homepage. Source code: https://github.com/fusion809/fusion809.github.io.
Website built with Franklin.jl.

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Last modified: August 23, 2025.