Package org.episteme.core.mathematics.analysis.chaos

package org.episteme.core.mathematics.analysis.chaos
  • Class
    Description
    ArnoldCatMap
    Arnold's Cat Map: x_{n+1} = (2x_n + y_n) mod 1 y_{n+1} = (x_n + y_n) mod 1
    CantorDust
    Cantor Dust - a 2D fractal generalization of the Cantor set.
    CantorDust.Square
    Represents a square region in the Cantor dust.
    DiscreteMap<T>
    A discrete dynamical system defined by an iterative map.
    GingerbreadManMap
    The Gingerbread Man Map - a chaotic discrete dynamical system.
    HenonMap
    The Hénon Map: x_{n+1} = 1 - a * x_n^2 + y_n y_{n+1} = b * x_n
    JuliaSet
    Julia Set as a proper mathematical set.
    KochCurve
    Koch Curve (Snowflake) - a fractal curve.
    LogisticMap
    The Logistic Map: x_{n+1} = r * x_n * (1 - x_n).
    MandelbrotSet
    The Mandelbrot Set as a proper mathematical set.
    StandardMap
    The Standard Map (Chirikov-Taylor map): p_{n+1} = (p_n + K * sin(theta_n)) mod 2Ï€ theta_{n+1} = (theta_n + p_{n+1}) mod 2Ï€