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# Class JSci.maths.chaos.LogisticMap

    java.lang.Object
       |
       +----JSci.maths.chaos.LogisticMap

public final class LogisticMap
extends Object
implements Mapping

The LogisticMap class provides an object that encapsulates the logistic map.

##

R_2CYCLE
  2 cycle bifurcation point.
R_4CYCLE
  4 cycle bifurcation point.
R_6CYCLE
  6 cycle bifurcation point.
R_8CYCLE
  8 cycle bifurcation point.
R_ACCUMULATION
  Accumulation point.

##

LogisticMap(Complex)
  Constructs a logistic map.
LogisticMap(double)
  Constructs a logistic map.

##

iterate(int, Complex)
  Iterates the map.
iterate(int, double)
  Iterates the map.
map(Complex)
  Performs the mapping.
map(double)
  Performs the mapping.

##

R_2CYCLE

     public static final double R_2CYCLE

  2 cycle bifurcation point.

R_4CYCLE

     public static final double R_4CYCLE

  4 cycle bifurcation point.

R_6CYCLE

     public static final double R_6CYCLE

  6 cycle bifurcation point.

R_8CYCLE

     public static final double R_8CYCLE

  8 cycle bifurcation point.

R_ACCUMULATION

     public static final double R_ACCUMULATION

  Accumulation point.

##

LogisticMap

     public LogisticMap(double rval)

  Constructs a logistic map.

  Parameters:
    rval - the value of the r parameter

LogisticMap

     public LogisticMap(Complex rval)

  Constructs a logistic map.

  Parameters:
    rval - the value of the r parameter

##

map

     public double map(double x)

  Performs the mapping.

  Parameters:
    x - a double

map

     public Complex map(Complex z)

  Performs the mapping.

  Parameters:
    z - a complex number

iterate

     public double iterate(int n,
                           double x)

  Iterates the map.

  Parameters:
    n - the number of iterations
    x - the initial value

iterate

     public Complex iterate(int n,
                            Complex z)

  Iterates the map.

  Parameters:
    n - the number of iterations
    z - the initial value

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