4 and 6 are the 1st two non primes............4 + 6 = 10.......like the base ten number system.........28/6 = 4.66666........like F's 1st constant...............cascading........................period 2.....doubling....

Feigenbaum constants - Wikipedia

https://en.wikipedia.org/wiki/Feigenbaum_constants

1. Cached
2. Similar

Jump to The first constant - The first Feigenbaum constant is the limiting ratio of each bifurcation interval to the next between every period doubling, of a one-parameter map. x i + 1 = f ( x i ) , {\displaystyle x_{i+1}=f(x_{i}),} {\displaystyle x_{i+1}=f(x_{i}. where f(x) is a function parameterized by the bifurcation parameter a.

You've visited this page 5 times. Last visit: 11/28/17

Bifurcation diagram - Wikipedia

https://en.wikipedia.org/wiki/Bifurcation_diagram

1. Cached
2. Similar

The bifurcation diagram shows the forking of the periods of stable orbits from 1 to 2 to 4 to 8 etc. Each of these bifurcation points is a period-doubling bifurcation. The ratio of the lengths of successive intervals between values of r for which bifurcation occurs converges to the first Feigenbaum constant. The diagram also ...

Bifurcation theory - Wikipedia

https://en.wikipedia.org/wiki/Bifurcation_theory

1. Cached
2. Similar

A local bifurcation occurs when a parameter change causes the stability of an equilibrium (or fixed point) to change. In continuous systems, this corresponds to the real part of an eigenvalue of an equilibrium passing through zero. In discrete systems (those described by maps rather than ODEs), this corresponds to a fixed ...