JSci.maths.chaos.CatMap Maven / Gradle / Ivy

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JSci is a set of open source Java packages. The aim is to encapsulate scientific methods/principles in the most natural way possible. As such they should greatly aid the development of scientific based software. It offers: abstract math interfaces, linear algebra (support for various matrix and vector types), statistics (including probability distributions), wavelets, newtonian mechanics, chart/graph components (AWT and Swing), MathML DOM implementation, ... Note: some packages, like javax.comm, for the astro and instruments package aren't listed as dependencies (not available).

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package JSci.maths.chaos;

import JSci.maths.*;

/**
* 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).
* @version 1.0
* @author Mark Hale
*/
public final class CatMap extends Object implements MappingND {
        /**
        * Constructs a cat map.
        */
        public CatMap() {}
        /**
        * Performs the mapping.
        * @param x a 2-D double array
        * @return a 2-D double array
        */
        public double[] map(double x[]) {
                double ans[]=new double[2];
                ans[0]=(x[0]+x[1])%1;
                ans[1]=(x[0]+2*x[1])%1;
                return ans;
        }
        /**
        * Iterates the map.
        * @param n the number of iterations
        * @param x the initial values (2-D)
        * @return a 2-D double array
        */
        public double[] iterate(int n,double x[]) {
                double xn[]=map(x);
                for(int i=1;i