JSci.maths.chaos
Class HenonMap

java.lang.Object
  JSci.maths.chaos.HenonMap

All Implemented Interfaces:

MappingND

public final class HenonMap

extends java.lang.Object

implements MappingND

The HenonMap class provides an object that encapsulates the Henon map. x_n+1 = 1 - a x_n² + y_n y_n+1 = b x_n

Field Summary

static double	A_CHAOS Chaotic a parameter value.
static double	B_CHAOS Chaotic b parameter value.

Constructor Summary

HenonMap(double aval, double bval)
Constructs a Henon map.

Method Summary

double	hausdorffDimension()
double[]	iterate(int n, double[] x) Iterates the map.
double[]	map(double[] x) Performs the mapping.

Methods inherited from class java.lang.Object

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

Field Detail

A_CHAOS

public static final double A_CHAOS

Chaotic a parameter value.

See Also:

Constant Field Values

B_CHAOS

public static final double B_CHAOS

Chaotic b parameter value.

See Also:

Constant Field Values

Constructor Detail

HenonMap

public HenonMap(double aval,
                double bval)

Constructs a Henon map.

Parameters:

aval - the value of the a parameter

bval - the value of the b parameter

Method Detail

map

public double[] map(double[] x)

Performs the mapping.

Specified by:

map in interface MappingND

Parameters:

x - a 2-D double array

Returns:

a 2-D double array

hausdorffDimension

public double hausdorffDimension()

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