Stability theory | Dynamical systems
Lagrange stability is a concept in the stability theory of dynamical systems, named after Joseph-Louis Lagrange. For any point in the state space, in a real continuous dynamical system , where is , the motion is said to be positively Lagrange stable if the positive semi-orbit is compact. If the negative semi-orbit is compact, then the motion is said to be negatively Lagrange stable. The motion through is said to be Lagrange stable if it is both positively and negatively Lagrange stable. If the state space is the Euclidean space , then the above definitions are equivalent to and being bounded, respectively. A dynamical system is said to be positively-/negatively-/Lagrange stable if for each , the motion is positively-/negatively-/Lagrange stable, respectively. (Wikipedia).
Lagrange multipliers: 2 constraints
Free ebook http://tinyurl.com/EngMathYT A lecture showing how to apply the method of Lagrange multipliers where two contraints are involved.
From playlist Lagrange multipliers
Lagrange Bicentenary - Cédric Villani's conference
From the stability of the Solar system to the stability of plasmas
From playlist Bicentenaire Joseph-Louis Lagrange
Lagrange Bicentenary - Jacques Laskar's conference
Lagrange and the stability of the Solar System
From playlist Bicentenaire Joseph-Louis Lagrange
A Tour Of The Lagrange Points. Part 1 - Past And Future Missions To L1
Thanks to gravity, there are places across the Solar System which are nicely balanced. They’re called Lagrange Points and they give us the perfect vantage points for a range of spacecraft missions, from observing the Sun to studying asteroids, and more. Various spacecraft have already vis
From playlist Guide to Space
Distance point and plane the Lagrange way
In this video, I derive the formula for the distance between a point and a plane, but this time using Lagrange multipliers. This not only gives us a neater way of solving the problem, but also gives another illustration of the method of Lagrange multipliers. Enjoy! Note: Check out this vi
From playlist Partial Derivatives
Lagrange multipliers: 2 constraints
Download the free PDF http://tinyurl.com/EngMathYT This video shows how to apply the method of Lagrange multipliers to a max/min problem. Such ideas are seen in university mathematics.
From playlist Several Variable Calculus / Vector Calculus
Download the free PDF from http://tinyurl.com/EngMathYT This video shows how to apply the method of Lagrange multipliers to a max/min problem. Such ideas are seen in university mathematics.
From playlist Lagrange multipliers
Chapter 3: Lagrange's theorem, Subgroups and Cosets | Essence of Group Theory
Lagrange's theorem is another very important theorem in group theory, and is very intuitive once you see it the right way, like what is presented here. This video also discusses the idea of subgroups and cosets, which are crucial in the development of the Lagrange's theorem. Other than c
From playlist Essence of Group Theory
Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.
From playlist Physics ONE
On Arnold's formula for the second variation of energy on orbits of 2d vorticities - Vladimír Sverák
Seminar in Analysis and Geometry Topic: On Arnold's formula for the second variation of energy on orbits of 2d vorticities Speaker: Vladimír Sverák Affiliation: University of Minnesota; Member, School of Mathematics Date: November 23, 2021 We consider variational principles related to V.
From playlist Mathematics
Points de Lagrange : un ticket (...) - Emmanuel Trélat - Mathématiques et mouvements - 13/03/18
Points de Lagrange : un ticket gratuit vers les étoiles ? Résumé : Les points de Lagrange sont des points d’équilibre dans la dynamique céleste, en lesquels les forces gravitationnelles s’annihilent. L’étude de la dynamique au voisinage de ces points (c’est-à-dire, l’étude des trajectoire
From playlist Mathématiques et mouvements - 13/03/2018
Maxim Kontsevich - New Life of D-branes in Math
One of the most wonderful gifts from string theory to pure mathematics comes from Mike Douglas' ideas on the decay of D-branes and walls of marginal stability. Tom Bridgeland formalized structures discovered by Mike as stability conditions in abstract triangulated categories. This notion b
From playlist Mikefest: A conference in honor of Michael Douglas' 60th birthday
Summary: an example covering ALL group theory concepts!! | Essence of Group Theory
The summary of the entire video series! After a quick recap on all the important concepts covered in the series, we see a very interesting, yet a bit involved example to see how these concepts can be applied to prove an interesting result. The concepts that we used are: (1) The correspond
From playlist Essence of Group Theory
Chapter 2: Orbit-Stabiliser Theorem | Essence of Group Theory
An intuitive explanation of the Orbit-Stabilis(z)er theorem (in the finite case). It emerges very apparently when counting the total number of symmetries in some tricky but easy way. This video series continues to develop your intuition towards some fundamental concepts and results in Grou
From playlist Essence of Group Theory
FEM@LLNL | Topics in Immersed Boundary and Contact Interface Methods
Sponsored by the MFEM project, the FEM@LLNL Seminar Series focuses on finite element research and applications talks of interest to the MFEM community. On May 24, 2022, Mike Puso of LLNL presented "Topics in Immersed Boundary and Contact Interface Methods: Current LLNL Projects and Resear
From playlist FEM@LLNL Seminar Series
Weak Stability Boundary and Capture in the Three-Body Problem - Edward Belbruno
Edward Belbruno NASA/AISR & IOD, Inc. January 19, 2011 GEOMETRY/DYNAMICAL SYSTEMS The problem of capture in the planar restricted three-body problem is addressed. In particular, weak capture is described, which occurs at a complicated region called the weak stability boundary, where the m
From playlist Mathematics
What Are The Lagrange Points? Finding Stable Points in Space
There are places in the Solar System where the forces of gravity balance out perfectly. Places we can use to position satellites, space telescopes and even colonies to establish our exploration of the Solar System. These are the Lagrange Points. Support us at: http://www.patreon.com/unive
From playlist Gravity