Class LogisticMap

java.lang.Object

org.episteme.core.mathematics.dynamical.LogisticMap

All Implemented Interfaces:

DiscreteMap, DynamicalMap<double[]>

public class LogisticMap
extends Object
implements DiscreteMap

Represents the Logistic map: x_{n+1} = r * x_n * (1 - x_n).

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Constructor Summary

Constructors

Constructor	Description
LogisticMap(double r)	Creates a Logistic map with parameter r.

Method Summary

Modifier and Type	Method	Description
int	dimensions()	Returns the dimension of the state space.
double	hausdorffDimension()	Returns the Hausdorff dimension (fractal dimension) of the attractor, if known.
double[]	map(double[] state)	Applies the map to a state.

Methods inherited from class Object

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

Methods inherited from interface DynamicalMap

iterate

Constructor Details

LogisticMap

public LogisticMap(double r)

Creates a Logistic map with parameter r.

Parameters:

r - the growth rate parameter (typically [0, 4])

Method Details

map

public double[] map(double[] state)

Description copied from interface: DynamicalMap

Applies the map to a state.

Specified by:

map in interface DynamicalMap<double[]>

Parameters:

state - the current state

Returns:

the next state

dimensions

public int dimensions()

Description copied from interface: DiscreteMap

Returns the dimension of the state space.

Specified by:

dimensions in interface DiscreteMap

Returns:

the dimension

hausdorffDimension

public double hausdorffDimension()

Description copied from interface: DiscreteMap

Returns the Hausdorff dimension (fractal dimension) of the attractor, if known.

Specified by:

hausdorffDimension in interface DiscreteMap

Returns:

the Hausdorff dimension