Hamiltonian mechanics | Calculus of variations

Ostrogradsky instability

In applied mathematics, the Ostrogradsky instability is a feature of some solutions of theories having equations of motion with more than two time derivatives (higher-derivative theories). It is suggested by a theorem of Mikhail Ostrogradsky in classical mechanics according to which a non-degenerate Lagrangian dependent on time derivatives higher than the first corresponds to a Hamiltonian unbounded from below. As usual, the Hamiltonian is associated with the Lagrangian via a Legendre transform. The Ostrogradsky instability has been proposed as an explanation as to why no differential equations of higher order than two appear to describe physical phenomena.However, Ostrogradsky's theorem does not imply that all solutions of higher-derivative theories are unstable as many counterexamples are known. (Wikipedia).

Video thumbnail

Βy which factors the oscillation period depends!

The oscillation period in simple harmonic motion!

From playlist MECHANICS

Video thumbnail

Mechanical Oscillation - Differential equation

In this video we will focus on the mathematical description of an oscillatory motion, in particular the second order differential equation of simple harmonic motion. #Differential_equation #Simple_harmonic_motion #Physics #Oscillator #Mechanical_energy #Lebanese_Curriculum

From playlist Summer of Math Exposition Youtube Videos

Video thumbnail

Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (45 of 92) Quantum Nature of Oscillator 1

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the quantum mature of the oscillator. I will explain the step-function that represent the energy differences between different energy states. The change of the energy can only happen 1 step an

From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION

Video thumbnail

B04 Example problem of simple harmonic oscillation

Solving an example problem of simple harmonic oscillation, which requires calculating the solution to a second order ordinary differential equation.

From playlist Physics ONE

Video thumbnail

Obtsructive jaundice

In today's video we take a look at the common causes of obstructive jaundice and how you should go about investigating these patients.

From playlist Let's talk Surgery

Video thumbnail

Galileon Genesis by Masahide Yamaguchi

PROGRAM: PHYSICS OF THE EARLY UNIVERSE - AN ONLINE PRECURSOR ORGANIZERS: Robert Brandenberger (McGill University, Montreal, Canada), Jerome Martin (Institut d'Astrophysique de Paris, France), Subodh Patil (Instituut-Lorentz for Theoretical Physics, Leiden, Netherlands) and L Sriramkumar (

From playlist Physics of The Early Universe - An Online Precursor

Video thumbnail

AWESOME Electromagnetic force oscillation!!!

In this video i show electromagnetic force oscillation on a ruler. Also i demonstrate the standing wave on a ruler!

From playlist ELECTROMAGNETISM

Video thumbnail

Forced Harmonic Motion: Solution (5.6)

In this video, I find the particular solution to the equation of motion for a driven damped harmonic oscillator.

From playlist Intermediate Classical Mechanics

Video thumbnail

Accelerated motion and oscillation!

In this video i demonstrate accelerated motion with interface. I show the graphs of simple accelerating motion and simple harmonic motion with force and motion sensor!

From playlist MECHANICS

Video thumbnail

Underactive thyroid.mov

An general explanation of the underactive thyroid.

From playlist For Patients

Video thumbnail

Oceanic Sub-mesocale Instabilities and their Manifestation in the Bay of Bengal by Amit Tandon

DISCUSSION MEETING WAVES, INSTABILITIES AND MIXING IN ROTATING AND STRATIFIED FLOWS (ONLINE) ORGANIZERS: Thierry Dauxois (CNRS & ENS de Lyon, France), Sylvain Joubaud (ENS de Lyon, France), Manikandan Mathur (IIT Madras, India), Philippe Odier (ENS de Lyon, France) and Anubhab Roy (IIT M

From playlist Waves, Instabilities and Mixing in Rotating and Stratified Flows (ONLINE)

Video thumbnail

Turbulent Sedimentation by Eckart Meiburg

Turbulence from Angstroms to light years DATE:20 January 2018 to 25 January 2018 VENUE:Ramanujan Lecture Hall, ICTS, Bangalore The study of turbulent fluid flow has always been of immense scientific appeal to engineers, physicists and mathematicians because it plays an important role acr

From playlist Turbulence from Angstroms to light years

Video thumbnail

Waves, Instabilities and Mixing in Stars by Pascale Garaud

DISCUSSION MEETING WAVES, INSTABILITIES AND MIXING IN ROTATING AND STRATIFIED FLOWS (ONLINE) ORGANIZERS: Thierry Dauxois (CNRS & ENS de Lyon, France), Sylvain Joubaud (ENS de Lyon, France), Manikandan Mathur (IIT Madras, India), Philippe Odier (ENS de Lyon, France) and Anubhab Roy (IIT M

From playlist Waves, Instabilities and Mixing in Rotating and Stratified Flows (ONLINE)

Video thumbnail

Mod-06 Lec-26 Practical combustion system ; Stability, Fuel injection

Jet Aircraft Propulsion by Prof. Bhaskar Roy and Prof. A. M. Pradeep, Department of Aerospace Engineering, IIT Bombay. For more details on NPTEL visit http://nptel.iitm.ac.in

From playlist IIT Bombay: Aerospace - Jet Aircraft Propulsion (CosmoLearning Aerospace Engineering)

Video thumbnail

Introduction to Hydrodynamic Instability (Lecture 1) by Rama Govindarajan

DISCUSSION MEETING WAVES, INSTABILITIES AND MIXING IN ROTATING AND STRATIFIED FLOWS (ONLINE) ORGANIZERS: Thierry Dauxois (CNRS & ENS de Lyon, France), Sylvain Joubaud (ENS de Lyon, France), Manikandan Mathur (IIT Madras, India), Philippe Odier (ENS de Lyon, France) and Anubhab Roy (IIT M

From playlist Waves, Instabilities and Mixing in Rotating and Stratified Flows (ONLINE)

Video thumbnail

On the connection between wave resonance, shear .. by Anirban Guha

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

Video thumbnail

Magnetic reconnection: plasmoid instability in an experimentally accessible regime by Pallavi Bhat

Abstract: Magnetic reconnection is a fundamental plasma physics phenomenon, relevant to laboratory, space, and astrophysical systems. It involves a rapid topological rearrangement of the magnetic field, leading to efficient magnetic energy conversion and plays an important role in solar f

From playlist Seminar Series

Video thumbnail

Buoyancy Instabilities in Weakly Collisional Magnetized Plasmas by Prateek Sharma

GdR Dynamo 2015 PROGRAM LINK: www.icts.res.in/program/GDR2015 DATES : 01 Jun, 2015 - 12 Jun, 2015 VENUE : ICTS-TIFR, IISc campus, Bangalore DESCRIPTION : Dynamo or self-induced magnetic field generation in nature and laboratory is a very important area of research in physics, astrop

From playlist GdR Dynamo 2015

Video thumbnail

Outtakes

Yes. I make mistakes ... rarely. http://www.flippingphysics.com

From playlist Miscellaneous

Related pages

Legendre transformation | Jacobian matrix and determinant | Hamiltonian mechanics | Canonical coordinates | Euler–Lagrange equation | Lagrangian mechanics