Generates a 1-dimensional time series using the Gauss map
gaussMap(
a = 4.9,
b = -0.58,
start = runif(1, min = -0.5, max = 0.5),
n.sample = 5000,
n.transient = 500,
do.plot = deprecated()
)A vector containing the values of the time series that has been generated.
The a parameter. Default: 4.9
The b parameter. Default: -0.58
A numeric value indicating the starting value for the time series. If the starting point is not specified, it is generated randomly.
Length of the generated time series. Default: 5000 samples.
Number of transient samples that will be discarded. Default: 500 samples.
Logical value. If TRUE, a plot of the generated Gauss system is shown. Before version 0.2.11, default value was TRUE; versions 0.2.11 and later use FALSE as default.
Constantino A. Garcia
The Gauss map is defined as follows: $$x_{n+1}= exp(-a \cdot (x_n)^2) + b$$ The default selection for both a and b parameters is known to produce a deterministic chaotic time series.
Chaos and nonlinear dynamics: an introduction for scientists and engineers, by Robert C. Hilborn, 2nd Ed., Oxford, Univ. Press, New York, 2004.
henon, logisticMap, lorenz,
rossler, ikedaMap, cliffordMap, sinaiMap