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

View source: R/nonLinearSystems.R

Generates a 2-dimensional time series using the Henon map.

1 2 |

`start` |
A 2-dimensional vector indicating the starting values for the x and y Henon coordinates. If the starting point is not specified, it is generated randomly. |

`a` |
The |

`b` |
The |

`n.sample` |
Length of the generated time series. Default: 5000 samples. |

`n.transient` |
Number of transient samples that will be discarded. Default: 500 samples. |

`do.plot` |
Logical value. If TRUE (default value), a plot of the generated Henon system is shown. |

The Henon map is defined as follows:

*x[n] = 1 - a*x[n - 1]^2 + y[n - 1]*

*y[n] = b*x[n - 1].*

The default selection for both *a* and *b* parameters
(*a*=1.4 and *b*=0.3) is known to produce a deterministic chaotic
time series.

A list with two vectors named *x* and *y* containing the
x-components and the y-components of the Henon map, 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)

```
logisticMap, lorenz, rossler,
ikedaMap, cliffordMap, sinaiMap, gaussMap
```

1 2 3 4 5 6 7 |

```
Loading required package: Matrix
Loading required package: rgl
Loading required package: tseries
Loading required package: TSA
Loading required package: leaps
Loading required package: locfit
locfit 1.5-9.1 2013-03-22
Loading required package: mgcv
Loading required package: nlme
This is mgcv 1.8-20. For overview type 'help("mgcv-package")'.
Attaching package: 'TSA'
The following objects are masked from 'package:stats':
acf, arima
The following object is masked from 'package:utils':
tar
Loading required package: Rcpp
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
3: .onUnload failed in unloadNamespace() for 'rgl', details:
call: fun(...)
error: object 'rgl_quit' not found
```

nonlinearTseries documentation built on Sept. 23, 2018, 9:03 a.m.

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