Bifurcation theory | Chaos theory | Mathematical constants | Dynamical systems
In mathematics, specifically bifurcation theory, the Feigenbaum constants 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. (Wikipedia).
A Magic Number - Sixty Symbols
It's a tricky concept linked to chaos, but the Feigenbaum Constant is a special number which appears everywhere in nature. More symbols at http://www.sixtysymbols.com/
From playlist From Sixty Symbols
What is the multiplicity of a zero?
👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
Learn how and why multiplicity of a zero make sense
👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
What are zeros of a polynomial
👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
Project II: Feigenbaum Delta (Part C) | Lecture 23 | Numerical Methods for Engineers
Outline of a MATLAB code to compute the Feigenbaum delta from the superstable cycles of the logistic map. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my c
From playlist Numerical Methods for Engineers
The Feigenbaum Constant (4.669) - Numberphile
Binge on learning at The Great Courses Plus: http://ow.ly/Z5yR307LfxY The Feigenbaum Constant and Logistic Map - featuring Ben Sparks. Catch a more in-depth interview with Ben on our Numberphile Podcast: https://youtu.be/-tGni9ObJWk Ben Sparks: https://twitter.com/SparksMaths Random nu
From playlist Ben Sparks on Numberphile
Overview of Multiplicity of a zero - Online Tutor - Free Math Videos
👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
MAE5790-20 Universal aspects of period doubling
Exploring the logistic map and period doubling with online applets. Interactive cobweb diagrams. Interactive orbit diagram. Zooming in to see the periodic windows. Self-similar fractal structure: each periodic window contains miniature copies of the whole orbit diagram. Smooth curves runni
From playlist Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University
Overview of zeros of a polynomial - Online Tutor - Free Math Videos
👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
What is multiplicity and what does it mean for the zeros of a graph
👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
MAE5790-21 Feigenbaum's renormalization analysis of period doubling
Superstable fixed points and cycles. Intuition behind renormalization, based on self-similarity. Renormalization transformation. Defining a family of universal functions. Explaining geometrically where the universal aspects of period doubling come from. Functional equation for alpha and th
From playlist Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University
Find the zeros factoring vs square root method
👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
Kenneth Brecher - The Sirius Enigmas Mathematical Tops - G4G14 Apr 2022
I have developed a set of four spinning tops based on four of the most important mathematical constants: φ, π, e and i. The tops are quite elegant, have different topological shapes and have unusual dynamical properties. Here, I discuss each of them separately, as well as a mathematical re
From playlist G4G14 Videos
Project II: Feigenbaum Delta (Part B) | Lecture 22 | Numerical Methods for Engineers
A continuation of how to compute the Feigenbaum delta from the superstable cycles of the logistic map. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my chan
From playlist Numerical Methods for Engineers
MAE5790-1 Course introduction and overview
Historical and logical overview of nonlinear dynamics. The structure of the course: work our way up from one to two to three-dimensional systems. Simple examples of linear vs. nonlinear systems. 1-D systems. Why pictures are more powerful than formulas for analyzing nonlinear systems. Fixe
From playlist Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University
👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
Clojure Conj 2012 - Challenges for Logic Programming
Challenges for Logic Programming by: Steve Miner The core.logic library (a port of miniKANREN) has sparked an interest in logic programming among Clojure users. Back in the '80s, logic programming inspired the Japanese Fifth Generation Computer Systems Project, which was poised to leap pa
From playlist Clojure Conf 2012
Computer Science at Yale: The Next 10 Years
A presentation from the second alumni-organized and focused Yale Entrepreneurs and Investors Conference in New York City on April 24, 2015. This conversation features Joan Feigenbaum, Department Head of Computer Science at Yale. Yale Tech is a global community for alumni in the industry:
From playlist Yale Alumni Entrepreneurs & Investors NYC Conference 2015
Overview Zeros of a functions - Online Math Tutor - Free Math Videos
👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About