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Feigenbaum constants information


Feigenbaum constant δ expresses the limit of the ratio of distances between consecutive bifurcation diagram on Li/Li + 1

In mathematics, specifically bifurcation theory, the Feigenbaum constants /ˈfɡənˌbm/[1] are two mathematical constants which both express ratios in a bifurcation diagram for a non-linear map. They are named after the physicist Mitchell J. Feigenbaum.

  1. ^ The Feigenbaum Constant (4.669) – Numberphile, retrieved 7 February 2023

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Feigenbaum constants

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mathematics, specifically bifurcation theory, the Feigenbaum constants /ˈfaɪɡənˌbaʊm/ are two mathematical constants which both express ratios in a bifurcation...

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Logistic map

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Feigenbaum constants. In fact, there are typically more than one. For example, for period-7-pling, there are at least 9 different pairs of Feigenbaum...

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Mitchell Feigenbaum

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pioneering studies in chaos theory led to the discovery of the Feigenbaum constants. Feigenbaum was born in Philadelphia, Pennsylvania, to Jewish emigrants...

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Mathematical constant

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using it across multiple mathematical problems. Constants arise in many areas of mathematics, with constants such as e and π occurring in such diverse contexts...

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Feigenbaum

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Israeli footballer Eran Feigenbaum (born 1974), Israeli information security expert and mentalist Feigenbaum function Feigenbaum constants This page lists people...

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List of scientific constants named after people

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constants named after people. Eponymous constants and their influence on scientific citations have been discussed in the literature. Apéry's constant...

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Feigenbaum function

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Feigenbaum constants. In fact, there are typically more than one. For example, for period-7-pling, there are at least 9 different pairs of Feigenbaum...

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List of mathematical constants

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"Copeland–Erdős Constant Continued Fraction". MathWorld. "Hermite Constants". Weisstein, Eric W. "Relatively Prime". MathWorld. "Favard Constants". OEIS: A000796...

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List of numbers

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"Khinchin's Constant". Weisstein, Eric W. "Khinchin's constant". MathWorld. Briggs, Keith (1997). Feigenbaum scaling in discrete dynamical systems (PDF) (PhD...

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Bifurcation diagram

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Bifurcation memory Chaos theory Skeleton of bifurcation diagram Feigenbaum constants Glendinning, Paul (1994). Stability, Instability and Chaos. Cambridge...

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Bifurcation theory

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portal Bifurcation diagram Bifurcation memory Catastrophe theory Feigenbaum constants Geomagnetic reversal Phase portrait Tennis racket theorem Blanchard...

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Courant–Friedrich–Levy number Archived 2008-06-05 at the Wayback Machine Feigenbaum constants Blondeau, J. (2021). "The influence of field size, goal size and...

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Transcendental number

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to be irrational). The Feigenbaum constants δ and α, also not proven to be irrational. Mills' constant and twin prime constant (also not proven to be...

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Delta

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schemas in the Z notation δ {\displaystyle \delta } , the first Feigenbaum constant Delta connective, a unary connective in t-norm fuzzy logics Delta...

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List of Clarivate Citation laureates in Physics

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Feigenbaum (1944–2019)  United States "for pioneering discoveries in nonlinear and chaotic physical systems and for identification of the Feigenbaum constants...

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List of dynamical systems and differential equations topics

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argument Butterfly effect 0-1 test for chaos Bifurcation diagram Feigenbaum constant Sharkovskii's theorem Attractor Strange nonchaotic attractor Stability...

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Mathematical coincidence

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is conjectured, but not known, to be a normal number. The first Feigenbaum constant is approximately equal to 10 π − 1 {\displaystyle {\tfrac {10}{\pi...

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Mikhail Lyubich

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published the first non-numerical proof of the universality of the Feigenbaum constants in chaos theory. He received the 2010 Jeffery–Williams Prize from...

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Experimental mathematics

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Ulam numbers was discovered by accident. Mitchell Feigenbaum's discovery of the Feigenbaum constant was based initially on numerical observations, followed...

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Speed of light

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"Optical constants of H2O, D2O (Water, heavy water, ice)". refractiveindex.info. Mikhail Polyanskiy. Retrieved 7 November 2017. "Optical constants of Soda...

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List of systems scientists

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Mitchell Feigenbaum (1944–2019) American mathematical physicist whose pioneering studies in chaos theory led to the discovery of the Feigenbaum constants. Peter...

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