Chen solver

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

\begin{aligned} \dfrac{dx}{dt} &= a (y-x) \\ \dfrac{dy}{dt} &= x(c-a-z) + cy \\ \dfrac{dz}{dt} &= xy - b z. \end{aligned}

Simulation parameter form.
Parameter	Value	Explanation
$a$ :		Problem parameter
$b$ :		Problem parameter
$c$ :		Problem paramter
$t_f$ :		End time for the simulation in seconds (s)
$x_0$ :		Initial $x$ coordinate
$y_0$ :		Initial $y$ coordinate
$z_0$ :		Initial $z$ coordinate
$\epsilon$ :		Absolute error tolerance.
$h_{\mathrm{Initial}}$ :		Initial step size.
$h_{\mathrm{Min}}$ :		Minimum allowed step size.
$\Delta t$ :		Time increment for skipping ahead in animation.
$t_1$ :		Time you want to skip ahead to in animation when you press the skip button.
$\mathrm{Width}$ :		Width (in px) of Plotly windows used for plotting and animation below.
$\mathrm{Height}$ :		Height (in px) of Plotly windows used for plotting and animation below.
$\mathrm{Delay}$ :		Proportion of animation time passed per real time. Delay=1.0 means animation and real time match. Delay<1 means the animation is going more slowly than real time. Delay>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.

Chen solver

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