Differential equations | Stability theory | Dynamical systems
In mathematics, structural stability is a fundamental property of a dynamical system which means that the qualitative behavior of the trajectories is unaffected by small perturbations (to be exact C1-small perturbations). Examples of such qualitative properties are numbers of fixed points and periodic orbits (but not their periods). Unlike Lyapunov stability, which considers perturbations of initial conditions for a fixed system, structural stability deals with perturbations of the system itself. Variants of this notion apply to systems of ordinary differential equations, vector fields on smooth manifolds and flows generated by them, and diffeomorphisms. Structurally stable systems were introduced by Aleksandr Andronov and Lev Pontryagin in 1937 under the name "systèmes grossiers", or rough systems. They announced a characterization of rough systems in the plane, the Andronov–Pontryagin criterion. In this case, structurally stable systems are typical, they form an open dense set in the space of all systems endowed with appropriate topology. In higher dimensions, this is no longer true, indicating that typical dynamics can be very complex (cf strange attractor). An important class of structurally stable systems in arbitrary dimensions is given by Anosov diffeomorphisms and flows. (Wikipedia).
SA02: Structural Analysis: Stability
This lecture is a part of our online course on introductory structural analysis. Sign up using the following URL: https://courses.structure.education/ In addition to updated, expanded, and better organized video lectures, the course contains quizzes and other learning content. Solution f
From playlist Dr. Structure: Structural Analysis Video Lectures
SA02-A: Stability and Determinacy in Trusses
This lecture is a part of our online course on introductory structural analysis. Sign up using the following URL: https://courses.structure.education/ In addition to updated, expanded, and better organized video lectures, the course contains quizzes and other learning content. A pdf ver
From playlist Dr. Structure: Structural Analysis Video Lectures
Stability Analysis, State Space - 3D visualization
Introduction to Stability and to State Space. Visualization of why real components of all eigenvalues must be negative for a system to be stable. My Patreon page is at https://www.patreon.com/EugeneK
From playlist Physics
Reliability 1: External reliability and rater reliability and agreement
In this video, I discuss external reliability, inter- and intra-rater reliability, and rater agreement.
From playlist Reliability analysis
Center of Mass & Center of Rigidity | Reinforced Concrete Design
http://goo.gl/nmipcn for more FREE video tutorials covering Concrete Structural Design The objectives of this video are to briefly discuss about the center of mass and center of rigidity by understanding what their means as well as to talks about combination of center of mass and center o
From playlist SpoonFeedMe: Concrete Structures
SA04U: Truss Analysis (Method of Joints)
This lecture is a part of our online course on introductory structural analysis. Sign up using the following URL: https://courses.structure.education/ In addition to updated, expanded, and better organized video lectures, the course contains quizzes and other learning content.
From playlist Dr. Structure: Structural Analysis Video Lectures
SA04: Truss Analysis: Method of Joints
This lecture is a part of our online course on introductory structural analysis. Sign up using the following URL: https://courses.structure.education/ In addition to updated, expanded, and better organized video lectures, the course contains quizzes and other learning content.
From playlist Dr. Structure: Structural Analysis Video Lectures
R - Structural Equation Model Basics Lecture 1
Lecturer: Dr. Erin M. Buchanan Missouri State University Summer 2016 This lecture covers the basic terminology for structural equation modeling including: identification, scaling, variable types, manifest/latent variables, path coefficient types, endogenous/exogenous variables, degrees o
From playlist Structural Equation Modeling
David Rydh. Local structure of algebraic stacks and applications
Abstract: Some natural moduli problems, such as moduli of sheaves and moduli of singular curves, give rise to stacks with infinite stabilizers that are not known to be quotient stacks. The local structure theorem states that many stacks locally look like the quotient of a scheme by the act
From playlist CORONA GS
Alexander HULPKE - Computational group theory, cohomology of groups and topological methods 2
The lecture series will give an introduction to the computer algebra system GAP, focussing on calculations involving cohomology. We will describe the mathematics underlying the algorithms, and how to use them within GAP. Alexander Hulpke's lectures will being with some general computation
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Carbocation Stability - Hyperconjugation, Inductive Effect & Resonance Structures
This organic chemistry video tutorial provides a basic introduction into carbocation stability. It discusses hyperconjugation and the inductive effect of electron donating groups and electron withdrawing groups. It also discusses carbocation stability using resonance structures. SN1 SN2
From playlist New Organic Chemistry Playlist
Mod-01 Lec-12 Surface Effects and Physical properties of nanomaterials
Nanostructures and Nanomaterials: Characterization and Properties by Characterization and Properties by Dr. Kantesh Balani & Dr. Anandh Subramaniam,Department of Nanotechnology,IIT Kanpur.For more details on NPTEL visit http://nptel.ac.in.
From playlist IIT Kanpur: Nanostructures and Nanomaterials | CosmoLearning.org
Choiceless Polynomial Time - Ben Rossman
Computer Science/Discrete Mathematics Seminar I Topic: Choiceless Polynomial Time Speaker: Ben Rossman Affiliation: University of Toronto Date: October 14, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Chemistry 51A: Organic Chemistry. Lecture 24
UCI Chem 51A Organic Chemistry (Fall 2014) Lec 24. Organic Chemistry -- Factors that Affect the Rate of the SN1 Reaction View the complete course: http://ocw.uci.edu/courses/chem_51a_organic_chemistry.html Instructor: Susan King, Ph.D. License: Creative Commons BY-NC-SA Terms of Use: http
From playlist Chemistry 51A: Organic Chemistry
Stability conditions in symplectic topology – Ivan Smith – ICM2018
Geometry Invited Lecture 5.8 Stability conditions in symplectic topology Ivan Smith Abstract: We discuss potential (largely speculative) applications of Bridgeland’s theory of stability conditions to symplectic mapping class groups. ICM 2018 – International Congress of Mathematicians
From playlist Geometry
Chem 51C. Lecture 7. Ch. 19. Carboxylic Acids and Nitriles
Full Chem 51C Playlist: https://www.youtube.com/playlist?list=PLqOZ6FD_RQ7lherMlgcDNCBHbQi5paAO_ Lecture 7. Ch. 19. Carboxylic Acids and Nitriles. Instructor: James S. Nowick, Ph.D. License: Creative Commons BY-NC-SA Terms of Use: http://open.uci.edu/info (click on “terms of use”) More co
From playlist Chem 51C, Organic Chemistry (2022)
Conformational stability: Protein folding and denaturation | MCAT | Khan Academy
Different bonds/interactions contribute to the stability of each level of protein structure. Let's explore some common ones such as peptide bonds, hydrogen bonds, and disulfide bonds. By Tracy Kovach. . Created by Tracy Kim Kovach. Watch the next lesson: https://www.khanacademy.org/test-p
From playlist Chemical processes | MCAT | Khan Academy
Conformational stability: Protein folding and denaturation | MCAT | Khan Academy
Created by Tracy Kim Kovach. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/chemical-processes/proteins/v/non-enzymatic-protein-function?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/chemical-proc
From playlist Chemical processes | MCAT | Khan Academy
Be it Burj Khalifa, the Pentagon, or your house, the weight of these structures is ultimately borne by a structural element called a footing. A design mistake in the footing can result in the collapse of the whole building, which is why a proper foundation design is crucial. Footings are t
From playlist Civil Engineering