logisticMap {nonlinearTseries}

Logistic map

Description

Generates a time series using the logistic map.

Usage

logisticMap(
  r = 4,
  start = runif(n = 1, min = 0, max = 1),
  n.sample = 5000,
  n.transient = 500,
  do.plot = deprecated()
)

Arguments

r

The r parameter. Default: 4

start

A numeric value indicating the starting value for the time series. If the starting point is not specified, it is generated randomly.

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, a plot of the generated logistic system is shown. Before version 0.2.11, default value was TRUE; versions 0.2.11 and later use FALSE as default.

Details

The logistic map is defined as follows:

x_n = r \cdot x_{n-1} \cdot (1 - x_{n-1})

The default selection for the r parameter is known to produce a deterministic chaotic time series.

Value

A vector containing the values of the time series that has been generated.

Note

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

Author(s)

Constantino A. Garcia

References

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

See Also

henon, lorenz, rossler, ikedaMap, cliffordMap, sinaiMap, gaussMap

Examples

## Not run: 
log.map=logisticMap(n.sample = 1000, n.transient=10,do.plot=TRUE)

## End(Not run)