jsci.maths.chaos

Class CatMap

java.lang.Object

jsci.maths.chaos.CatMap

All Implemented Interfaces:

MappingND

public final class CatMap
extends java.lang.Object
implements MappingND

The CatMap class provides an object that encapsulates the cat map. x_n+1 = (x_n + y_n) mod 1 y_n+1 = (x_n + 2y_n) mod 1 (Arnol'd).

Constructor Summary

Constructors

Constructor and Description
CatMap() Constructs a cat map.

Method Summary

Modifier and Type	Method and Description
double[]	iterate(int n, double[] x) Iterates the map.
double[]	map(double[] x) Performs the mapping.

Methods inherited from class java.lang.Object

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

Constructor Detail

CatMap

public CatMap()

Constructs a cat map.

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

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