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# This library is free software; you can redistribute it and/or
# modify it under the terms of the GNU Library General Public
# License as published by the Free Software Foundation; either
# version 2 of the License, or (at your option) any later version.
#
# This library is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU Library General Public License for more details.
#
# You should have received a copy of the GNU Library General
# Public License along with this library; if not, write to the
# Free Foundation, Inc., 59 Temple Place, Suite 330, Boston,
# MA 02111-1307 USA
# Copyrights (C)
# for this R-port:
# 1999 - 2007, Diethelm Wuertz, GPL
# Diethelm Wuertz <wuertz@itp.phys.ethz.ch>
# info@rmetrics.org
# www.rmetrics.org
# for the code accessed (or partly included) from other R-ports:
# see R's copyright and license files
# for the code accessed (or partly included) from contributed R-ports
# and other sources
# see Rmetrics's copyright file
################################################################################
# FUNCTION: CHAOTIC TIME SERIES MAPS:
# tentSim Simulates series from Tent map
# henonSim Simulates series from Henon map
# ikedaSim Simulates series from Ikeda map
# logisticSim Simulates series from Logistic map
# lorentzSim Simulates series from Lorentz map
# roesslerSim Simulates series from Roessler map
# FUNCTION: PHASE SPACE REPRESENTATION:
# mutualPlot Creates mutual information plot
# fnnPlot Creates false nearest neigbours plot
# FUNCTION: NON STATIONARITY PLOTS:
# recurrencePlot Creates recurrence plot
# separationPlot Creates space-time separation plot
# FUNCTION: LYAPUNOV EXPONENTS:
# lyapunovPlot Maximum Lyapunov plot
################################################################################
test.tentSim =
function()
{
# tentSim - Simulates series from Tent map
# Tent Map:
RNGkind(kind = "Marsaglia-Multicarry", normal.kind = "Inversion")
set.seed(4711, kind = "Marsaglia-Multicarry")
par (mfrow = c(1, 1))
ts = tentSim(n = 1000, n.skip = 100, parms = c(a = 2), start = runif(1),
doplot = TRUE)
# Return Value:
return()
}
# ------------------------------------------------------------------------------
test.henonSim =
function()
{
# henonSim - Simulates series from Henon map
# Henon Map - 2D:
RNGkind(kind = "Marsaglia-Multicarry", normal.kind = "Inversion")
set.seed(4711, kind = "Marsaglia-Multicarry")
par (mfrow = c(1, 1))
ts = henonSim(n = 1000, n.skip = 100, parms = c(a = 1.4, b = 0.3),
start = runif(2), doplot = TRUE)
# Return Value:
return()
}
# ------------------------------------------------------------------------------
test.ikedaSim =
function()
{
# ikedaSim - Simulates series from Ikeda map
# Ikeda Map - 2D:
RNGkind(kind = "Marsaglia-Multicarry", normal.kind = "Inversion")
set.seed(4711, kind = "Marsaglia-Multicarry")
par (mfrow = c(2, 2))
ts = ikedaSim(n = 1000, n.skip = 100, parms = c(a = 0.4, b = 6, c = 0.9),
start = runif(2), doplot = TRUE)
head(ts)
# Return Value:
return()
}
# ------------------------------------------------------------------------------
test.logisticSim =
function()
{
# logisticSim - Simulates series from Logistic map
# lorentzSim - Simulates series from Lorentz map
# roesslerSim - Simulates series from Roessler map
# Logistic Map:
RNGkind(kind = "Marsaglia-Multicarry", normal.kind = "Inversion")
set.seed(4711, kind = "Marsaglia-Multicarry")
par (mfrow = c(1, 1))
logisticSim(n = 1000, n.skip = 100, parms = c(r = 4), start = runif(1),
doplot = TRUE)
# Return Value:
return()
}
# ------------------------------------------------------------------------------
test.lorentzSim =
function()
{
# lorentzSim - Simulates series from Lorentz map
# Lorentz Map:
RNGkind(kind = "Marsaglia-Multicarry", normal.kind = "Inversion")
set.seed(4711, kind = "Marsaglia-Multicarry")
par (mfrow = c(3, 2))
ts = lorentzSim(times = seq(0, 20, by = 0.01), parms = c(sigma = 16,
r = 45.92, b = 4), start = c(-14, -13, 47), doplot = TRUE)
head(ts)
# Return Value:
return()
}
# ------------------------------------------------------------------------------
test.roesslerSim =
function()
{
# roesslerSim - Simulates series from Roessler map
# Roessler Map:
RNGkind(kind = "Marsaglia-Multicarry", normal.kind = "Inversion")
set.seed(4711, kind = "Marsaglia-Multicarry")
par (mfrow = c(3, 2))
ts = roesslerSim(times = seq(0, 80, by = 0.05), parms = c(a = 0.2,
b = 0.2, c = 8), start = c(-1.894, -9.92, 0.025), doplot = TRUE)
head(ts)
# Return Value:
return()
}
################################################################################
test.henonSlider =
function()
{
# Henon Slider:
henonSlider = function()
{
refresh.code = function(...)
{
# Sliders:
N = .sliderMenu(no = 1)
a = .sliderMenu(no = 2)
b = .sliderMenu(no = 3)
# Plot Henon Map:
ts = henonSim(n = N, n.skip = 100, parms = c(a = a, b = b),
start = c(pi/4, exp(1)/4), doplot = TRUE)
# Frame:
par(mfrow = c(1, 1), cex = 0.7)
}
# Open Slider Menu:
.sliderMenu(refresh.code,
names = c( "N", "a", "b"),
minima = c( 100, 1.00, 0.00),
maxima = c(5000, 2.00, 1.00),
resolutions = c( 100, 0.01, 0.01),
starts = c(2000, 1.40, 0.30))
}
# Try:
# henonSlider()
# Return Value:
return()
}
################################################################################
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