Abstract. We show that the Cvitanovi¶c-Feigenbaum equation can be interpreted as a linearizing equation, and the domain of analyticity of the Feigenbaum ̄xed point of renormalization as a basin of …
The Feigenbaum constant is the limiting ratio of each bifurcation interval to the next between every period doubling. Use calculator to compute the ratios. Goal: Finding values of Ci where 0 is a …
M.J. Feigenbaum, (December 19, 1944 – June 30, 2019) was an American mathematical physicist whose pioneering studies in chaos theory led to the discovery of the Feigenbaum universality and …
eigenbaum’s Constants The discovery of Feigenbaum’s constants, where Mitchell Feigenbaum demonstrated that unique, universal constants are linked to successive measurements of iterable …
The Feigenbaum theory is based on a construction of he open unit disk. The construction of the hyperbolic fixed point proves local universality of the period-d ubling phenomenon. At the same time, …
Sommerfeld fine-structure constant and Feigenbaum’s delta. This relationship may help to explain the “mystery” that has surrounded the fine-structure constant for many decades. FINE-STRUCTURE …
Lecture 11: Feigenbaum’s analysis of period doubling, superstability of fixed points and period-p points, renor-malisation, universal limiting function, discrete-time dy-namics analysis methods, the Poincaré …