jsci.maths.chaos

Class StandardMap

java.lang.Object

jsci.maths.chaos.StandardMap

All Implemented Interfaces:

MappingND

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

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

Constructors

Constructor and Description
StandardMap(double kval) Constructs a Standard 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

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 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