rossler: Rossler system
In nonlinearTseries: Nonlinear Time Series Analysis

Description Usage Arguments Details Value Note Author(s) References See Also Examples

Generates a 3-dimensional time series using the Rossler equations.

1 2	rossler(a = 0.2, b = 0.2, w = 5.7, start = c(-2, -10, 0.2), time = seq(0, 50, by = 0.01), do.plot = TRUE)

`a`	The a parameter. Default:0.2.
`b`	The b parameter. Default: 0.2.
`w`	The w parameter. Default: 5.7.
`start`	A 3-dimensional numeric vector indicating the starting point for the time series. Default: c(-2, -10, 0.2).
`time`	The temporal interval at which the system will be generated. Default: time=seq(0,50,by = 0.01).
`do.plot`	Logical value. If TRUE (default value), a plot of the generated Lorenz system is shown.

The Rossler system is a system of ordinary differential equations defined as:

dx/dt = -(y + z)

dy/dt = x + a*y

dz/dt = b + z*(x-w)

The default selection for the system parameters (a = 0.2, b = 0.2, w = 5.7) is known to produce a deterministic chaotic time series.

A list with four vectors named time, x, y and z containing the time, the x-components, the y-components and the z-components of the Rossler system, respectively.

Some initial values may lead to an unstable system that will tend to infinity.

Constantino A. Garcia

Strogatz, S.: Nonlinear dynamics and chaos: with applications to physics, biology, chemistry and engineering (Studies in Nonlinearity)

henon, logisticMap, rossler, ikedaMap, cliffordMap, sinaiMap, gaussMap

## Not run: 
r.ts = rossler(time=seq(0,30,by = 0.01))

## End(Not run)

Registered S3 method overwritten by 'quantmod':
  method            from
  as.zoo.data.frame zoo 

Attaching package: ‘nonlinearTseries’

The following object is masked from ‘package:grDevices’:

    contourLines

Warning messages:
1: In rgl.init(initValue, onlyNULL) : RGL: unable to open X11 display
2: 'rgl.init' failed, running with 'rgl.useNULL = TRUE'.