Interface DiscreteMap<T>

All Superinterfaces:

Function<T,T>, Function<T,T>, Relation<T,T>

All Known Implementing Classes:

ArnoldCatMap, GingerbreadManMap, HenonMap, LogisticMap, StandardMap

public interface DiscreteMap<T>
extends Function<T,T>

A discrete dynamical system defined by an iterative map.

x_{n+1} = f(x_n)

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Method Summary

Modifier and Type	Method	Description
default double	getLyapunovExponent()	Returns the Lyapunov exponent of the map (if applicable).
default T	iterate(T x0, int iterations)	Iterates the map n times starting from x0.

Methods inherited from interface Function

compose

Methods inherited from interface Function

andThen, apply, compose, contains, evaluate, evaluate, getBackend, isContinuous, isDifferentiable, setBackend

Methods inherited from interface Relation

getCodomain, getDomain

Method Details

iterate

default T iterate(T x0,
 int iterations)

Iterates the map n times starting from x0.

Parameters:

x0 - initial state

iterations - number of iterations

Returns:

x_n

getLyapunovExponent

default double getLyapunovExponent()

Returns the Lyapunov exponent of the map (if applicable).

Returns:

Lyapunov exponent or NaN if unknown