Lorenz 1 (Classic Form)

Equations:

$$\begin{align}\dot{x}_{0}&=par_{0} \cdot \left(- x_{0} + x_{1}\right)\\\dot{x}_{1}&=x_{0} \cdot \left(par_{2} - x_{2}\right) - x_{1}\\\dot{x}_{2}&=- par_{1} \cdot x_{2} + x_{0} \cdot x_{1}\end{align}$$

Description:

A chaotic system of ordinary differential equations. Applications such as simplified models for lasers, electric circuits, chemical reactions or atmospheric convection.

Keywords:

non-periodic; chaotic

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IVP 78

Class: PINLBNU

Initial conditions:

$$\begin{align}x_{0}(0)&=15.0\\x_{1}(0)&=15.0\\x_{2}(0)&=36.0\end{align}$$

Parameters:

$$\begin{align}par_{0}&=10.0\\par_{1}&=2.66666\\par_{2}&=15.0\end{align}$$

Exact Solution^*:

No exact solution provided.

[untested]

IVP 93