Dynamical systems

Phase reduction

Phase reduction is a method used to reduce a multi-dimensional dynamical equation describing a nonlinear limit cycle oscillator into a one-dimensional phase equation. Many phenomena in our world such as chemical reactions, electric circuits, mechanical vibrations, cardiac cells, and spiking neurons are examples of rhythmic phenomena, and can be considered as nonlinear limit cycle oscillators. (Wikipedia).

Phase reduction
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Reduction of Order - Linear Second Order Homogeneous Differential Equations Part 1

This video explains how to apply the method of reduction of order to solve a linear second order homogeneous differential equations. Site: http://mathispower4u

From playlist Second Order Differential Equations: Reduction of Order

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6A Matrix Reduction with Gauss Elimination-YouTube sharing.mov

The complicated issue of row reduction using elementary row operations (Gauss elimination).

From playlist Linear Algebra

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Reduction of Order - Linear Second Order Homogeneous Differential Equations Part 2

This video explains how to apply the method of reduction of order to solve a linear second order homogeneous differential equations. Site: http://mathispower4u

From playlist Second Order Differential Equations: Reduction of Order

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C02 Reduction of order

The first method for solving second order linear ODE's uses reduction in order. In this method the second derivative is reduced to a first derivative in the dependent variable, which can usually be solved by separation of variables, or by introduction an integrating factor.

From playlist Differential Equations

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Reductions in JuliaDB

At times, it might be useful to express a single column in a table as a single value, such as adding all the values in that column or calculating the mean or variance of the values in that column. This can be achieved using the reduce() function. For a full course in Julia, have a look a

From playlist Julia on Coursera

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Linear Algebra Example: Row Reduction

In this video, I walk you through the step-by-step process for row-reducing a matrix to either echelon form or reduced echelon form.

From playlist Linear Algebra Lectures

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(Ex 2.1B2): Find a General Solution to a 2nd Order Linear Homogenous DE (Reduction of Order)

This video explains how to perform reduction of order to solve a second order linear homogeneous differential equation. https://mathispower4u.com

From playlist Differential Equations: Complete Set of Course Videos

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C34 Expanding this method to higher order linear differential equations

I this video I expand the method of the variation of parameters to higher-order (higher than two), linear ODE's.

From playlist Differential Equations

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Labeling a System by Solving Using Elimination Method

👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e

From playlist Solve a System of Equations Using Elimination | Medium

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Synthesis Workshop: The Two-Phase Approach to Taxanes (Episode 46)

In this Total Synthesis episode, we take a look at the Baran group's two-phase approach to taxanes in a special mini-lecture. References: J. Am. Chem. Soc. 2020, 142, 10526-10533. J. Org. Chem. 2020, 85, 10293-10320. Also see: (a) Molecules That Changed the World: A Brief History of the A

From playlist Total Synthesis

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Natalia Tronko: Exact conservation laws for gyrokinetic Vlasov-Poisson equations

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist SPECIAL 7th European congress of Mathematics Berlin 2016.

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General Chemistry 1C. Lecture 19. Electrochemistry Pt. 4.

UCI Chem 1C General Chemistry (Spring 2013) Lec 19. General Chemistry -- Electrochemistry -- Part 1 View the complete course: http://ocw.uci.edu/courses/chem_1c_general_chemistry.html Instructor: Ramesh D. Arasasingham, Ph.D. License: Creative Commons BY-NC-SA Terms of Use: http://ocw.uci

From playlist Chemistry 1C: General Chemistry

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Cell Notation Practice Problems, Voltaic Cells - Electrochemistry

This chemistry video tutorial provides a basic introduction into writing the cell notation of a voltaic cell which is the same as writing the standard line notation. This electrochemistry video tutorial contains plenty of examples and practice problems of writing the cell notation for gal

From playlist New AP & General Chemistry Video Playlist

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25. Oxidation-Reduction and Electrochemical Cells

MIT 5.111 Principles of Chemical Science, Fall 2014 View the complete course: https://ocw.mit.edu/5-111F14 Instructor: Catherine Drennan Redox reactions are a major class of chemical reactions in which there is an exchange of electrons from one species to another. In this lecture, the bas

From playlist MIT 5.111 Principles of Chemical Science, Fall 2014

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Lec 25 | MIT 5.111 Principles of Chemical Science, Fall 2005

Oxidation/Reduction (Prof. Catherine Drennan) View the complete course: http://ocw.mit.edu/5-111F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 5.111 Principles of Chemical Science, Fall 2005

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Clustering Phase - Data Scientist Reacts Ep. 37

Nick Wan is the Director of Analytics for the Cincinnati Reds. He streams data science on Twitch and reacts to the latest news, sports, memes and everything in between. Twitter: https://twitter.com/nickwan WATCH LIVE ON TWITCH: https://twitch.tv/nickwan_datasci https://twitch.tv/nickwan

From playlist Data Scientist Reacts

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How To Draw Galvanic Cells and Voltaic Cells - Electrochemistry

This chemistry video tutorial explains how to draw galvanic cells and voltaic cells given the overall reaction. It explains how to identify the anode and the cathode by identifying the oxidation half-reaction and reduction half-reaction. It explains how to determine the direction of elec

From playlist New AP & General Chemistry Video Playlist

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Slava Rychkov - Random Field Ising Model and Parisi-Sourlas Supersymmetry (1/4)

Numerical evidence suggests that the Random Field Ising Model loses Parisi-Sourlas SUSY and the dimensional reduction property somewhere between 4 and 5 dimensions, while a related model of branched polymers retains these features in any d. I will present a recent theory, developed in 2019

From playlist Slava Rychkov - Random Field Ising Model and Parisi-Sourlas Supersymmetry

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Electrochemistry Practice Problems - Basic Introduction

This chemistry video tutorial provides a basic introduction into electrochemistry. It contains plenty of examples and practice problems on electrochemistry. Here is a list of topics: 1. Oxidation and Reduction 2. Anode vs Cathode - Electrode material 3. Direction of Electron Flow in a

From playlist New AP & General Chemistry Video Playlist

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Solve a System of Linear Equations Using Elimination

👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e

From playlist Solve a System of Equations Using Elimination | Medium

Related pages

Isochron | Flow (mathematics) | Phase response curve | Method of averaging | Limit cycle | Chain rule | Partial differential equation