Real polynomials:

- real quadratic polynomial
- monic real quadratic binomial: F
_{a}(x) = (x * x ) + a - logistic map : F
_{r}(x) = r * x * ( 1- x )

here variable x and coefficients are real numbers.

These functions creates dynamical systems which are topologicaly equivalent .

Commutative_diagram - wikipedia

- Explorations written by Hinke Osinga
- Chaos and the Logistics Map by Paul Gartside
- Dynamical systems and chaos by Andrew Rechnitzer
- Quadratic Mapby Nicholas B. Tufillaro
- Logistic Movie applet by Dongmei Zhang
- Elmer G. Wiens One Dimensional Dynamics and Bifurcations

Bifurcation diagram - iteration of real numbers ( 1D points)

- Prof. Chip Ross home page and and (the real, genuine, and equally beautiful) bifurcation.
- THE FEIGENBAUM FRACTAL by Ha*vard Berland
- University of Rochester Course Math - 215: Fractals and computer graphics. Spring 1998- by Professor Douglas C. Ravenel using Mathemathica
- World of Bifurcation (WOB)
- Logistic map in Mapple
- Feigenbaum scaling in discrete dynamical systems Ph.D. thesis by Keith Briggs
- logistic map from Wolfram
- Quadratic Map from Wolfram
- CONJUGACY OF LOGISTIC AND TENT MAPS by John Ringland
- Bifurcation diagram
- logistic map
- Weisstein, Eric W. "Feigenbaum Function." From MathWorld--A Wolfram Web Resource.
- Weisstein, Eric W. "Feigenbaum Constant Approximations." From MathWorld--A Wolfram Web
- Weisstein, Eric W. "Feigenbaum Constant." From MathWorld--A Wolfram Web Resource.
- Iterations and the Feigenbaum Diagram By Matthew Tepel
- Conjugation of cascades Authors: Jesus San Martin, Daniel Rodriguez-Perez

Made with: EditPlus www.editplus.com

About

republika.pl/fraktal