Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.
From playlist Physics ONE
Derivation of Hamilton's Equations of Motion | Classical Mechanics
Hamilton’s equations of motion describe how a physical system will evolve over time if you know about the Hamiltonian of this system. 00:00 Introduction 00:12 Prerequisites 01:01 Derivation 01:47 Comparing Coefficients 02:27 Example If you want to read more about the Lagrangian form
From playlist Classical Mechanics
Hamiltonian Instability Driven by Recurrent Dynamics - Marian Gidea
Marian Gidea Northeastern Illinois University; Member, School of Mathematics April 11, 2013 We present some novel approaches to the instability problem of Hamiltonian systems (in particular, the Arnold Diffusion problem). We show that, under generic conditions, perturbations of geodesic fl
From playlist Mathematics
AWESOME Brownian motion (with explanation)!
Brownian motion is the random motion of particles suspended in a fluid resulting from their collision with the fast-moving molecules in the fluid. This pattern of motion typically alternates random fluctuations in a particle's position inside a fluid subdomain with a relocation to anoth
From playlist THERMODYNAMICS
Hamiltonian Mechanics in 10 Minutes
In this video I go over the basics of Hamiltonian mechanics. It is the first video of an upcoming series on a full semester university level Hamiltonian mechanics series. Corrections -4:33 the lagrangian should have a minus sign between the first two terms, not a plus.
From playlist Summer of Math Exposition 2 videos
Physics 69 Hamiltonian Mechanics (3 of 18) Particle with Gravity - Example 2
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 In this video I will ind the equations of a falling object using the Hamiltonian equations. Next video in this series can be seen at
From playlist PHYSICS 69 ADVANCED MECHANICS: HAMILTONIAN MECHANICS
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
Global surfaces of section for Reeb flows – P. Salomão & U. Hryniewicz – ICM2018
Geometry Invited Lecture 5.4 Global surfaces of section for Reeb flows in dimension three and beyond Pedro Salomão & Umberto Hryniewicz Abstract: We survey some recent developments in the quest for global surfaces of section for Reeb flows in dimension three using methods from Symplectic
From playlist Geometry
The Most Beautiful Result in Classical Mechanics
Noether's theorem says that a symmetry of a Lagrangian implies a conservation law. But to fully appreciate the connection we need to go to Hamiltonian mechanics and see how symmetries act on phase space! Get the notes for free here: https://courses.physicswithelliot.com/notes-sign-up The
From playlist Hamiltonian Mechanics Sequence
Contacting the Moon - Urs Frauenfelder
Urs Frauenfelder Seoul National University January 19, 2011 GEOMETRY/DYNAMICAL SYSTEMS The restricted 3-body problem has an intriguing dynamics. A deep observation of Jacobi is that in rotating coordinates the problem admits an integral. In joint work with P. Albers, G. Paternain and O. v
From playlist Mathematics
Ergodicity of the Weil-Petersson geodesic flow (Lecture - 1) Keith Burns
Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b
From playlist Geometry, Groups and Dynamics (GGD) - 2017
Pre-recorded lecture 22: Open problems (part 2)
MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable systems Pre-recorded lecture: These lectures were recorded as part of a cooperation between the Chinese-Russian Mathematical Center (Beijing) and the Moscow Center of Fundamental and Applied Mathematics (Moscow). Nijenhuis Geomet
From playlist MATRIX-SMRI Symposium: Nijenhuis Geometry companion lectures (Sino-Russian Mathematical Centre)
Physics 69 Hamiltonian Mechanics (1 of 18) What is Hamiltonian Mechanics?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is Hamiltonian mechanics, how are the equations derived, how the Hamiltonian equations will simplified into classical mechanics equations. To donate: http://www.ilectureonline.com/donate
From playlist PHYSICS 69 ADVANCED MECHANICS: HAMILTONIAN MECHANICS
The Cartan Geometry of the Rotating Kepler Problem - Otto van Koert
Otto van Koert Seoul National University January 21, 2011 GEOMETRY/DYNAMICAL SYSTEMS In this talk we shall discuss the Cartan geometry of the rotating Kepler problem. The rotating Kepler problem appears as the limit of the restricted planar three-body body when one of the masses goes to z
From playlist Mathematics
Jake Solomon: The degenerate special Lagrangian equation
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 Jean-Morlet Chair - Lalonde/Teleman
Geometric inverse problems (Lecture - 2) by Gunther Uhlmann
DISCUSSION MEETING WORKSHOP ON INVERSE PROBLEMS AND RELATED TOPICS (ONLINE) ORGANIZERS: Rakesh (University of Delaware, USA) and Venkateswaran P Krishnan (TIFR-CAM, India) DATE: 25 October 2021 to 29 October 2021 VENUE: Online This week-long program will consist of several lectures by
From playlist Workshop on Inverse Problems and Related Topics (Online)
Gergely Harcos - A glimpse at arithmetic quantum chaos
slides for this talk: https://www.msri.org/workshops/801/schedules/21771/documents/2987/assets/27969 Introductory Workshop: Analytic Number Theory February 06, 2017 - February 10, 2017 February 07, 2017 (11:00 AM PST - 12:00 PM PST) Speaker(s): Gergely Harcos (Central European Universit
From playlist Number Theory
Resonances in hyperbolic dynamics – Stéphane Nonnenmacher – ICM2018
Partial Differential Equations | Dynamical Systems and Ordinary Differential Equations Invited Lecture 10.10 | 9.15 Resonances in hyperbolic dynamics Stéphane Nonnenmacher Abstract: The study of wave propagation outside bounded obstacles uncovers the existence of resonances for the Lapla
From playlist Partial Differential Equations
Hydrostatic Forces Example | Hydrostatics
https://goo.gl/A7bu20 for more FREE video tutorials covering Engineering Mechanics (Statics & Dynamics) The objective of this video is to work out the equivalent hydrostatic force on a vertical tank wall. At first, the video describes the exemplary problem of a tank containing fluids in a
From playlist SpoonFeedMe: Engineering Mechanics (Statics & Dynamics)
Lorentzian distance functions on the group of contactomorphisms - Jakob Hedicke
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Lorentzian distance functions on the group of contactomorphisms Speaker: Jakob Hedicke Affiliation: Bochum Date: December 17, 2021 The notion of positive (non-negative) contact isotopy, defined by Eliashberg
From playlist Mathematics