logisticMap {nonlinearTseries} | R Documentation |
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)