- published: 15 May 2009
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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. Next video in this series can be seen at: https://youtu.be/-VXDbFELld8
A different way to understand classical Hamiltonian mechanics in terms of determinism and reversibility. See all videos in the series: Playlist - https://www.youtube.com/playlist?list=PLmNMSMaNjnDd9Qj4VxNL8dijiWZCAzanl 1. Math - https://www.youtube.com/watch?v=FGQddvjP19w 2. Measurements - https://www.youtube.com/watch?v=UTSJiYV4rmw 3. Thermodynamics - https://www.youtube.com/watch?v=hb4nDn0CR7Q 4. Information Theory - https://www.youtube.com/watch?v=6vPIVJ-LtOI 5. State Mapping - https://www.youtube.com/watch?v=us0QK9xTN3o 6. Multiple d.o.f - https://www.youtube.com/watch?v=xJIglyPvCT0 7. Multiple d.o.f reprise - https://www.youtube.com/watch?v=wQBiUrQ3Va0
(November 7, 2011) Leonard Susskind discusses the some of the basic laws and ideas of modern physics. In this lecture, he focuses on Liouville's Theorem, which he describes as one of the basis for Hamiltonian mechanics. He works to prove the reversibility of classical mechanics. This course is the beginning of a six course sequence that explores the theoretical foundations of modern physics. Topics in the series include classical mechanics, quantum mechanics, theories of relativity, electromagnetism, cosmology, and black holes. Stanford University http://www.stanford.edu/ Stanford Continuing Studies http:/continuingstudies.stanford.edu/ Stanford University Channel on YouTube: http://www.youtube.com/stanford
Jacob Linder: 26.01.2012, Classical Mechanics (TFY4345), V2012 NTNU A full textbook covering the material in the lectures in detail can be downloaded for free here: http://bookboon.com/en/introduction-to-lagrangian-hamiltonian-mechanics-ebook
Alvaro Pelayo Member, School of Mathematics April 4, 2011 I will start with a review the basic notions of Hamiltonian/symplectic vector field and of Hamiltonian/symplectic group action, and the classical structure theorems of Kostant, Atiyah, Guillemin-Sternberg and Delzant on Hamiltonian torus actions. Then I will state a structure theorem for general symplectic torus actions, and give an idea of its proof. In the second part of the talk I will introduce new symplectic invariants of completely integrable Hamiltonian systems in low dimensions, and explain how these invariants determine, up to isomorphisms, the so called "semitoric systems". Semitoric systems are Hamiltonian systems which lie somewhere between the more rigid toric systems and the usually complicated general integrable syste...
MIT 2.003SC Engineering Dynamics, Fall 2011 View the complete course: http://ocw.mit.edu/2-003SCF11 Instructor: J. Kim Vandiver License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
Daniel Sutton: An effective description of Hamiltonian dynamics via the Maupertuis principle We study effective descriptions for the motion of a particle moving in a bounded periodic potential, as governed by Newton's second law. In particular we seek an effective equation, describing the motion of the particle in a rapidly oscillating potential. The study of such problems was initiated by P. L. Lions, G. Papanicolaou and S. R. S. Varadhan (1987) through the homogenisation of the Hamilton-Jacobi PDE. We propose an alternative approach, that is to use the principle of Maupertuis (1744). In this alternative formulation, which characterises dynamical trajectories as geodesics in a Riemannian manifold, we are able to describe properties of effective Hamiltonians in certain cases; specifically...
http://wd-central.com - Roger Hamilton talks about the Wealth Dynamics, the profiling system that lets you find out exactly who you are and how you should be working with others around you. The Wealth Dynamics Profiling system provides clarity on your path of least resistance to wealth creation. Through a profiling test it identifies your specific path to wealth. Wealth Dynamics is an evolution of Jungian psychometric testing into specific action & thinking dynamics that relates to entrepreneurs. It goes back to the roots of personality profiling in Chinese philosophy, which precedes Western psychometric testing by 2,500 years. Rather than just being a profiling report and list of soft recommendations, Wealth Dynamics provides an intuitive system which equips an entrepreneur with: 1. ...
Visit http://ilectureonline.com for more math and science lectures! In this video I will find the equations of a simple oscillator of a mass attached to a spring using the Hamiltonian equations. Next video in this series can be seen at: https://youtu.be/ziYJ6jQG8q8
Princeton/IAS Symplectic Geometry Seminar Topic:C0C0 Hamiltonian dynamics and a counterexample to the Arnold conjecture Speaker: Sobhan Seyfaddini Affiliation: Member, School of Mathematics Date: November 29, 2016 For more videos, visit http://video.ias.edu
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is, when to use, and why do we need Lagrangian mechanics. Next video in this series can be seen at: https://youtu.be/uFnTRJ2be7I
Lecture 16 of my Classical Mechanics course at McGill University, Winter 2010. Hamiltonian Mechanics. Phase Space. The course webpage, including links to other lectures and problem sets, is available at http://www.physics.mcgill.ca/~maloney/451/ The written notes for this lecture are available at http://www.physics.mcgill.ca/~maloney/451/451-16.pdf
Visit http://ilectureonline.com for more math and science lectures! In this video I will derive the position with-respect-to time and frequency equation of a simple pendulum problem using the partial derivative of Lagrangian equation. Next video in this series can be seen at: https://youtu.be/KCKbOVioirg
In this lecture you will learn: Introduction to Hamiltonian dynamics. Made by: Department of Physics, IIT Madras. This video is part of the playlist "University Lectures". For further interesting topics you can look here: https://www.youtube.com/playlist?list=PLdId9dvaMGZPorXrqBHGYn788r1vjVkXl "Hamiltonian mechanics is a theory developed as a reformulation of classical mechanics and predicts the same outcomes as non-Hamiltonian classical mechanics." https://en.wikipedia.org/wiki/Hamiltonian_mechanics This video was made by another YouTube user and made available for the use under the Creative Commons licence "CC-BY". Source channel: https://www.youtube.com/user/nptelhrd
Advanced dynamics is about modelling complex mechanical systems and assessing how their equations of motion can be derived. In the online course Advanced Dynamics, that follows Lagrangian Mechanics, you learn to derive the equation of motion of a dynamic system. The course will cover various topics including: *Momentum and Angular Momentum *Kinetic energy *Potential energy *3D mechanics appropriate for symbolic manipulation *Lagrange equation of motion *Gyroscopic Motion *Matrix notation for vectors, vector transformation and vector multiplications, transformation matrix, rotation operator, inertia matrix *Kinetic energy of bodies with a fixed point in space *Equations of motion of bodies with a fixed point in space (3D) *Equations of motion of free bodies *Hamilton's Principle *Simu...