org.jscience.mathematics.analysis.chaos
Class StandardMap

java.lang.Object
  org.jscience.mathematics.analysis.chaos.StandardMap

All Implemented Interfaces:

AbstractMapping, PrimitiveMappingND

public final class StandardMap
extends java.lang.Object
implements PrimitiveMappingND

The StandardMap class provides an object that encapsulates the Standard map. x_n+1 = (x_n + y_n+1) mod 2 y_n+1 = (y_n + k sin(x_n)) mod 2 (Chirikov, Taylor).

Constructor Summary

StandardMap(double kval)
Constructs a Standard map.

Method Summary

double[]	iterate(int n, double[] x) Iterates the map.
double[]	map(double[] x) Performs the mapping.
double[]	map(float[] x) DOCUMENT ME!
double[]	map(int[] x) DOCUMENT ME!
double[]	map(long[] x) DOCUMENT ME!
int	numInputDimensions() DOCUMENT ME!
int	numOutputDimensions() DOCUMENT ME!

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

StandardMap

public StandardMap(double kval)

Constructs a Standard map.

Parameters:

kval - the value of the k parameter

Method Detail

map

public double[] map(double[] x)

Performs the mapping.

Specified by:

map in interface PrimitiveMappingND

Parameters:

x - a 2-D double array

Returns:

a 2-D double array

See Also:

org.jscience.mathematics.analysis.Domain.

map

public double[] map(float[] x)

DOCUMENT ME!

Specified by:

map in interface PrimitiveMappingND

Parameters:

x - DOCUMENT ME!

Returns:

DOCUMENT ME!

map

public double[] map(long[] x)

DOCUMENT ME!

Specified by:

map in interface PrimitiveMappingND

Parameters:

x - DOCUMENT ME!

Returns:

DOCUMENT ME!

map

public double[] map(int[] x)

DOCUMENT ME!

Specified by:

map in interface PrimitiveMappingND

Parameters:

x - DOCUMENT ME!

Returns:

DOCUMENT ME!

numInputDimensions

public int numInputDimensions()

DOCUMENT ME!

Specified by:

numInputDimensions in interface PrimitiveMappingND

Returns:

DOCUMENT ME!

numOutputDimensions

public int numOutputDimensions()

DOCUMENT ME!

Specified by:

numOutputDimensions in interface PrimitiveMappingND

Returns:

DOCUMENT ME!

iterate

public double[] iterate(int n,
                        double[] x)

Iterates the map.

Parameters:

n - the number of iterations

x - the initial values (2-D)

Returns:

a 2-D double array