Ordinary differential equations

Oscillation theory

In mathematics, in the field of ordinary differential equations, a nontrivial solution to an ordinary differential equation is called oscillating if it has an infinite number of roots; otherwise it is called non-oscillating. The differential equation is called oscillating if it has an oscillating solution.The number of roots carries also information on the spectrum of associated boundary value problems. (Wikipedia).

Video thumbnail

Î’y which factors the oscillation period depends!

The oscillation period in simple harmonic motion!

From playlist MECHANICS

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

B03 Simple harmonic oscillation

Explaining simple (idealised) harmonic oscillation, through a second-order ordinary differential equation.

From playlist Physics ONE

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

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

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

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

Quantum Mechanics Concepts: 7 The Harmonic Oscillator

Part 7 of a series: explains how the ideas of Simple Harmonic Motion can be carried into Quantum Mechanics

From playlist Quantum Mechanics

Video thumbnail

How to Visualize Quantum Field Theory

Quantum field theory has made incredible advancements in physics and technology possible and is arguably the most successful theory in all of physics. But what exactly is it? How can we visualize a quantum field theory? Let's run some simulations to see how we can interpret this complicate

From playlist Quantum Mechanics

Video thumbnail

Lecture 3 | String Theory and M-Theory

(October 4, 2010) Professor Leonard Susskind reviews harmonic oscillators, the spin of massless particles (photons and gravitons), the low lying spectrum of strings, the tachyon problem, and the basics of string interactions. String theory (with its close relative, M-theory) is the basis

From playlist Lecture Collection | String Theory and M-Theory

Video thumbnail

Theory of synchronization - CEB T2 2017 - Pikovsky - 1/3

Arkady Pikovsky (Univ. Potsdam) - 18/04/17 Theory of synchronization 1) Basics - oscillators, phase and amplitudes - isochrons and phase response curve - phase dynamics under small forcing - phase locking and frequency entrainment - beyond phase approximation - effects of noise -

From playlist 2017 - T2 - Stochastic Dynamics out of Equilibrium - CEB Trimester

Video thumbnail

11. Atoms in External Fields III

MIT 8.421 Atomic and Optical Physics I, Spring 2014 View the complete course: http://ocw.mit.edu/8-421S14 Instructor: Wolfgang Ketterle In this video, the professor reviewed second order perturbation theory and discussed beyond the quadratic Stark effect, field ionization, and atoms in os

From playlist MIT 8.421 Atomic and Optical Physics I, Spring 2014

Video thumbnail

Mod-01 Lec-12 The Concept of Phonons

Condensed Matter Physics by Prof. G. Rangarajan, Department of Physics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in

From playlist NPTEL: Condensed Matter Physics - CosmoLearning.com Physics Course

Video thumbnail

Theodore Vo: Canards, Cardiac Cycles, and Chimeras

Abstract: Canards are solutions of singularly perturbed ODEs that organise the dynamics in phase and parameter space. In this talk, we explore two aspects of canard theory: their applications in the life sciences and their ability to generate new phenomena. More specifically, we will use

From playlist SMRI Seminars

Video thumbnail

Teach Astronomy - Solar Oscillations

http://www.teachastronomy.com/ The Sun oscillates or vibrates at many frequencies like a bell. Solar oscillations can be used to study the interior of the Sun just as geologists use seismic waves to study the Earth's interior. In fact, apart from neutrinos this is the only way to reliabl

From playlist 13. Particle Physics and the Sun

Video thumbnail

Lecture 7 | Modern Physics: Statistical Mechanics

May 11, 2009 - Leonard Susskind lectures on harmonic oscillators, quantum states, boxes of radiation and all associated computations such as wavelengths, volume, energy and temperature. Stanford University: http://www.stanford.edu/ Stanford Continuing Studies Program: http://csp.s

From playlist Lecture Collection | Modern Physics: Statistical Mechanics

Video thumbnail

Climate Science, Waves, and PDE's for the Tropics ( 1 ) - Andrew J. Majda

Lecture 1: Climate Science, Waves, and PDE's for the Tropics: Observations, Theory, and Numerics Abstract: Geophysical flows are a rich source of novel problems for applied mathematics and the contemporary theory of partial differential equations. The reason for this is that many physical

From playlist Mathematical Perspectives on Clouds, Climate, and Tropical Meteorology

Video thumbnail

String Theory Overview

In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings. String theory describes how these strings propagate through space and interact with each other. On distance scales larger than

From playlist Physics

Video thumbnail

Horizon Radiation

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/DonateSPACE Learn about Horizon radiation and why it's essential for us to understand as we continue our journey towards the Unruh Effect and Hawking Radiation. You can further s

From playlist Space Time!

Video thumbnail

Physics 69 Hamiltonian Mechanics (2 of 18) The Oscillator - Example 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

From playlist PHYSICS 69 ADVANCED MECHANICS: HAMILTONIAN MECHANICS

Related pages

Sturm separation theorem | Schrödinger equation | Mathematics | Spectrum (functional analysis) | Sturm–Liouville theory | Ordinary differential equation | Root of a function | Boundary value problem | Sturm–Picone comparison theorem | Kneser's theorem (differential equations)