JSci.maths.chaos
Class LogisticMap

java.lang.Object
  JSci.maths.chaos.LogisticMap

All Implemented Interfaces:

Mapping

public final class LogisticMap

extends java.lang.Object

implements Mapping

The LogisticMap class provides an object that encapsulates the logistic map. x_n+1 = r x_n (1-x_n)

Field Summary

static double	R_16CYCLE 16-cycle bifurcation point.
static double	R_2CYCLE 2-cycle bifurcation point.
static double	R_4CYCLE 4-cycle bifurcation point.
static double	R_8CYCLE 8-cycle bifurcation point.
static double	R_ACCUMULATION Accumulation point.

Constructor Summary

LogisticMap(double rval)
Constructs a logistic 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

R_2CYCLE

public static final double R_2CYCLE

2-cycle bifurcation point.

See Also:

Constant Field Values

R_4CYCLE

public static final double R_4CYCLE

4-cycle bifurcation point.

R_8CYCLE

public static final double R_8CYCLE

8-cycle bifurcation point.

See Also:

Constant Field Values

R_16CYCLE

public static final double R_16CYCLE

16-cycle bifurcation point.

See Also:

Constant Field Values

R_ACCUMULATION

public static final double R_ACCUMULATION

Accumulation point.

See Also:

Constant Field Values

Constructor Detail

LogisticMap

public LogisticMap(double rval)

Constructs a logistic map.

Parameters:

rval - the value of the r parameter

Method Detail

map

public double map(double x)

Performs the mapping.

Specified by:

map in interface Mapping

Parameters:

x - a double

hausdorffDimension

public double hausdorffDimension()

iterate

public double iterate(int n,
                      double x)

Iterates the map.

Parameters:

n - the number of iterations

x - the initial value