lorenz.ode {fractal} | R Documentation

## Lorenz system ODEs

### Description

Ordinary differential equations fro the Lorenz system. See the help documentation for the `lorenz` data object for more information. A parameter space defined by `sigma=10`, `r=28`, and `b=8/3` is known to produce chaotic motion.

### Usage

    lorenz.ode(x, sigma=10, r=28, b=8/3)

### Arguments

`x` | a three-element numeric vector representing the current X, Y, and Z states, respectively, of the Lorenz system.
`b` | the b parameter. Default: `8/3`.
`r` | the r parameter. Default: `28`.
`sigma` | the sigma parameter. Default: `10`.

### Value

a vector of three values representing the Lorenz states X, Y, and Z, respectively, evaluated with the specified parameter regime.

### See Also

`lorenz`, `henon`.

### Examples

    lorenz.ode(c(0.3,-0.1,1.0))

[Package fractal version 1.0-1 Index]