What is a Manifold? Lesson 2: Elementary Definitions
This lesson covers the basic definitions used in topology to describe subsets of topological spaces.
From playlist What is a Manifold?
Today, we take a look at charts, their transition maps, and coordinate functions.
From playlist Manifolds
What is a Manifold? Lesson 6: Topological Manifolds
Topological manifolds! Finally! I had two false starts with this lesson, but now it is fine, I think.
From playlist What is a Manifold?
Manifolds #5: Tangent Space (part 1)
Today, we introduce the notion of tangent vectors and the tangent vector space at a point on a manifold.
From playlist Manifolds
Manifolds 1.1 : Basic Definitions
In this video, I give the basic intuition and definitions of manifolds. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Manifolds
I define topological manifolds. Motivated by the prospect of calculus on topological manifolds, I introduce smooth manifolds. At the end I point out how one needs to change the definitions, to obtain C^1 or even complex manifolds. To learn more about manifolds, see Lee's "Introduction to
From playlist Differential geometry
Manifolds 2.1 : Smooth and Differentiable Structures
In this video, I introduce smooth manifolds, C^k manifolds, as well as these on manifolds with boundary, the chart transition maps and C^k maps between manifolds. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet Playlist :
From playlist Manifolds
What is a Manifold? Lesson 3: Separation
He we present some alternative topologies of a line interval and then discuss the notion of separability. Note the error at 4:05. Sorry! If you are viewing this on a mobile device, my annotations are not visible. This is due to a quirck of YouTube.
From playlist What is a Manifold?
Mohammad Farazmand: "Accelerated Gradient Optimization: A Multiscale Analysis"
Machine Learning for Physics and the Physics of Learning 2019 Workshop III: Validation and Guarantees in Learning Physical Models: from Patterns to Governing Equations to Laws of Nature "Accelerated Gradient Optimization: A Multiscale Analysis" Mohammad Farazmand - North Carolina State Un
From playlist Machine Learning for Physics and the Physics of Learning 2019
Stochastic Model Reduction in Climate Science by Georg Gottwald (Part 4)
ORGANIZERS: Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATES: Monday 23 May, 2016 - Saturday 23 Jul, 2016 VENUE: Madhava Lecture Hall, ICTS, Bangalore This program is first-of-its-kind in India with a specific focus to p
From playlist Summer Research Program on Dynamics of Complex Systems
Dynamics of a Slow-Fast Predator-Prey Model with a Predator-Dependent...by Pranali Roy Chowdhury
PROGRAM TIPPING POINTS IN COMPLEX SYSTEMS (HYBRID) ORGANIZERS: Partha Sharathi Dutta (IIT Ropar, India), Vishwesha Guttal (IISc, India), Mohit Kumar Jolly (IISc, India) and Sudipta Kumar Sinha (IIT Ropar, India) DATE: 19 September 2022 to 30 September 2022 VENUE: Ramanujan Lecture Hall an
From playlist TIPPING POINTS IN COMPLEX SYSTEMS (HYBRID, 2022)
Revisiting the slow manifold of the Lorenz- Krishnamurthy quintet by A S Vasudeva Murthy
DATES Monday 23 May, 2016 - Saturday 23 Jul, 2016 VENUE Madhava Lecture Hall, ICTS, Bangalore APPLY This program is first-of-its-kind in India with a specific focus to provide research experience and training to highly motivated students and young researchers in the interdisciplinary field
From playlist Summer Research Program on Dynamics of Complex Systems
Koopman Observable Subspaces & Nonlinearization
This video illustrates the use of the Koopman operator to simulate a nonlinear dynamical system using a linear dynamical system on an observable subspace. For more details, see our papers: https://scholar.google.com/citations?user=TjzWdigAAAAJ&hl=en http://arxiv.org/abs/1510.03007 http
From playlist Research Abstracts from Brunton Lab
How exhaust brake works – Basics.
Hi this video explains about the basic working of exhaust braking and its advantages please watch the entire video and learn it, as you all know brakes are used to slowdown the vehicle or to make them to a stop. Exhaust braking is a braking technology used in diesel fuel powered vehicles.
From playlist Automobile Engineering.
Theodore Vo: Canards, Cardiac Cycles, and Chimeras
Abstract: Canards are solutions of singularly perturbed ODEs that organise the dynamics in phase and parameter space. In this talk, we explore two aspects of canard theory: their applications in the life sciences and their ability to generate new phenomena. More specifically, we will use
From playlist SMRI Seminars
Capturing Turbulent Dynamics and Statistics in Experiments using Exact.... by Balachandra Suri
SEMINAR Capturing Turbulent Dynamics and Statistics in Experiments using Exact Coherent States Speaker: Balachandra Suri (Institute of Science and Technology, Austria) Date: Thursday, 21 January 2021, Venue: Online seminar Turbulence is widely regarded as the last unsolved pro
From playlist Seminar Series
Rate-Induced Tipping in Asymptotically Autonomous Dynamical Systems: Theory.. by Sebastian Wieczorek
PROGRAM TIPPING POINTS IN COMPLEX SYSTEMS (HYBRID) ORGANIZERS: Partha Sharathi Dutta (IIT Ropar, India), Vishwesha Guttal (IISc, India), Mohit Kumar Jolly (IISc, India) and Sudipta Kumar Sinha (IIT Ropar, India) DATE: 19 September 2022 to 30 September 2022 VENUE: Ramanujan Lecture Hall an
From playlist TIPPING POINTS IN COMPLEX SYSTEMS (HYBRID, 2022)
Manifolds 1.4 : Topological Properties
In this video, I introduce the fact that manifolds have a countable basis of precompact coordinate balls, are locally compact, are locally path connected, and are paracompact. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet Playlist : https://w
From playlist Manifolds
Deep Learning Lecture 7.2 - Slow Manifolds
Learning Slow Manifolds with Markovian methods: Introduction and learning problem.
From playlist Deep Learning Lecture