Differential Equations and Dynamical Systems: Overview
This video presents an overview lecture for a new series on Differential Equations & Dynamical Systems. Dynamical systems are differential equations that describe any system that changes in time. Applications include fluid dynamics, elasticity and vibrations, weather and climate systems,
From playlist Engineering Math: Differential Equations and Dynamical Systems
Topics in Dynamical Systems: Fixed Points, Linearization, Invariant Manifolds, Bifurcations & Chaos
This video provides a high-level overview of dynamical systems, which describe the changing world around us. Topics include nonlinear dynamics, linearization at fixed points, eigenvalues and eigenvectors, bifurcations, invariant manifolds, and chaos!! @eigensteve on Twitter eigensteve.co
From playlist Dynamical Systems (with Machine Learning)
This video introduces chaotic dynamical systems, which exhibit sensitive dependence on initial conditions. These systems are ubiquitous in natural and engineering systems, from turbulent fluids to the motion of objects in the solar system. Here, we discuss how to recognize chaos and how
From playlist Engineering Math: Differential Equations and Dynamical Systems
C48 Systems of linear differential equations
A first look at systems of linear ordinary differential equations. This video includes a solved sample problem.
From playlist Differential Equations
Linearizing Nonlinear Differential Equations Near a Fixed Point
This video describes how to analyze fully nonlinear differential equations by analyzing the linearized dynamics near a fixed point. Most of our powerful solution techniques for ODEs are only valid for linear systems, so this is an important strategy for studying nonlinear systems. This
From playlist Engineering Math: Differential Equations and Dynamical Systems
C49 Example problem solving a system of linear DEs Part 1
Solving an example problem of a system of linear differential equations, where one of the equations is not homogeneous. It's a long problem, so this is only part 1.
From playlist Differential Equations
Lecture 1 | Introduction to Linear Dynamical Systems
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, gives an overview of the course, Introduction to Linear Dynamical Systems (EE263). Introduction to applied linear algebra and linear dynamical systems, with applications to circuits, signal processi
From playlist Lecture Collection | Linear Dynamical Systems
DDPS | Differentiable Programming for Modeling and Control of Dynamical Systems by Jan Drgona
Description: In this talk, we will present a differentiable programming perspective on optimal control of dynamical systems. We introduce differentiable predictive control (DPC) as a model-based policy optimization method that systematically integrates the principles of classical model pre
From playlist Data-driven Physical Simulations (DDPS) Seminar Series
More example problems solving homogeneous linear systems.
From playlist A Second Course in Differential Equations
Introduction to State-Space Equations | State Space, Part 1
Check out the other videos in the series: https://youtube.com/playlist?list=PLn8PRpmsu08podBgFw66-IavqU2SqPg_w Part 2 - Pole placement: https://youtu.be/FXSpHy8LvmY Part 3 - Observability and Controllability: https://youtu.be/BYvTEfNAi38 Part 4 - What Is LQR Optimal Control: https://youtu
From playlist State Space
Decay of quantum systems analysed with pseudomodes of reservoir structures by Barry Garraway
Open Quantum Systems DATE: 17 July 2017 to 04 August 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore There have been major recent breakthroughs, both experimental and theoretical, in the field of Open Quantum Systems. The aim of this program is to bring together leaders in the Open Q
From playlist Open Quantum Systems
V7_2: Applications to population dynamics, autonomous equations; Elementary Differential equations
Applications to population dynamics, Competing species model; Prey-predator model of Lotka-Volterra; Models and critical points, physical interpretations; System of two autonomous differential equations; Elementary Differential equations v7_2. Course playlist: https://www.youtube.com/pl
From playlist Elementary Differential Equations
Trimming and Linearization, Part 1: What Is Linearization?
Why go through the trouble of linearizing a model? To paraphrase Richard Feynman, it’s because we know how to solve linear systems. With a linear model we can more easily design a controller, assess stability, and understand the system dynamics. - Learn about linearization for model analys
From playlist Trimming and Linearization
PROGRAM NAME :WINTER SCHOOL ON STOCHASTIC ANALYSIS AND CONTROL OF FLUID FLOW DATES Monday 03 Dec, 2012 - Thursday 20 Dec, 2012 VENUE School of Mathematics, Indian Institute of Science Education and Research, Thiruvananthapuram Stochastic analysis and control of fluid flow problems have
From playlist Winter School on Stochastic Analysis and Control of Fluid Flow
Lecture 2 | Introduction to Linear Dynamical Systems
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on linear functions for the course, Introduction to Linear Dynamical Systems (EE263). Introduction to applied linear algebra and linear dynamical systems, with applications to circuits, sig
From playlist Lecture Collection | Linear Dynamical Systems
1. Course information; Begin kinematics
MIT 2.003J Dynamics and Control I, Fall 2007 View the complete course: http://ocw.mit.edu/2-003JF07 Instructor: Nicholas Makris, Peter So, Sanjay Sarma, Yahya Modarres-Sadeghi License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.ed
From playlist MIT 2.003J Dynamics and Control I, Fall 2007
(8.1) A General Approach to Nonlinear Differential Questions
This video briefly describes the approach to gaining information about the solution to nonlinear differential equations. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
Data-Driven Dynamical Systems Overview
This video provides a high-level overview of this new series on data-driven dynamical systems. In particular, we explore the various challenges in modern dynamical systems, along with emerging techniques in data science and machine learning to tackle them. The two chief challenges are 1)
From playlist Data-Driven Dynamical Systems with Machine Learning