Ordinary differential equations | Chaotic maps
In dynamics, the Van der Pol oscillator is a non-conservative oscillator with non-linear damping. It evolves in time according to the second-order differential equation: where x is the position coordinate—which is a function of the time t, and μ is a scalar parameter indicating the nonlinearity and the strength of the damping. (Wikipedia).
The Quantum Harmonic Oscillator Part 1: The Classical Harmonic Oscillator
For our third quantum problem we will visit harmonic oscillators. In a classical setting, this is like the ball on a spring we examined when learning about Hooke's law in the classical physics series. But this has quantum application as well, in modeling the vibrations of molecules and thi
From playlist Modern Physics
This electronics video tutorial provides a basic introduction into the Hartley Oscillator Circuit which uses a LC tank circuit to generate the oscillations at the desired frequency. The LC network consists of two inductors and 1 capacitor. This video explains how to calculate the capacit
From playlist Electronic Circuits
[DEMONSTRATION] - Coupled Oscillators
Coupled Oscillators are fun to watch. In this quick tutorial Dr. Bruce Denardo of the Physics department at the Naval Postgraduate School demonstrates a very simple looking coupled oscillator system. This coupled oscillator system consists of two pendulums that share the same symmetric ch
From playlist Physics Demonstrations
MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015 View the complete course: http://ocw.mit.edu/RES-18-009F15 Instructor: Cleve Moler An ODE involving higher order derivatives is rewritten as a vector system involving only first order deri
From playlist MIT Learn Differential Equations
MAE5790-10 van der Pol oscillator
Origins of the van der Pol oscillator in radio engineering. Strongly nonlinear limit. Liénard transformation. Relaxation oscillations. Weakly nonlinear limit. Energy method for estimating the amplitude of the limit cycle. Reading: Strogatz, "Nonlinear Dynamics and Chaos", Sections 7.4--7.
From playlist Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University
Wien Bridge Oscillator Circuit Using a 741 Op Amp
This electronics video tutorial explains how to create the wien bridge oscillator circuit using a 741 Op amp. The frequency of the oscillations depends on two resistors and capacitors in the circuit. 741 Op Amp: https://amzn.to/2UaWEAn Hantek Handheld Oscilloscope: https://amzn.to/3hCM
From playlist Electronic Circuits
Michael Bonsall: "Multiscale mathematical approaches for translational mental health benefits"
Computational Psychiatry 2020 "Multiscale mathematical approaches for translational mental health benefits" Michael Bonsall - University of Oxford Abstract: In this talk I will review our recent work on developing mathematical approaches for understanding trauma/PTSD memory and bipolar d
From playlist Computational Psychiatry 2020
From playlist UNSW Medicine
Resonance Circuits: LC Inductor-Capacitor Resonating Circuits
How current & voltage oscillate at resonant frequency for both parallel and series inductor-capacitor combinations. My Patreon Page is at https://www.patreon.com/EugeneK
From playlist Physics
This electronics video tutorial provides an introduction into an oscillator circuit that uses a PNP and NPN transistor, a transformer, two resistors, a 6V battery, and a capacitor. The frequency of the circuit is affected by the capacitor, R1, and the resistance of the load resistor. 6V
From playlist Electronic Circuits
Lecture 12 | MIT 6.832 Underactuated Robotics, Spring 2009
Lecture 12: Walking (continued) Instructor: Russell Tedrake See the complete course at: http://ocw.mit.edu/6-832s09 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.832 Underactuated Robotics, Spring 2009
Ring Oscillator Analysis Part 1
https://www.patreon.com/edmundsj If you want to see more of these videos, or would like to say thanks for this one, the best way you can do that is by becoming a patron - see the link above :). And a huge thank you to all my existing patrons - you make these videos possible. Here I analyz
From playlist RF Amplifier Design
Mathematical games around Quaternary ice ages - Crucifix - Workshop 1 - CEB T3 2019
Crucifix (Earth and Life Institute, UCLouvain) / 09.10.2019 Mathematical games around Quaternary ice ages After the glaciation of Antarctica (which became definitive around 15 Ma (million years) ago), the glaciation of the Northern Hemisphere started around 3 Myr ago. It defines the e
From playlist 2019 - T3 - The Mathematics of Climate and the Environment
Explosive death in coupled oscillators by Manish Shrimali
PROGRAM DYNAMICS OF COMPLEX SYSTEMS 2018 ORGANIZERS Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATE: 16 June 2018 to 30 June 2018 VENUE: Ramanujan hall for Summer School held from 16 - 25 June, 2018; Madhava hall for W
From playlist Dynamics of Complex systems 2018
LC Oscillating Circuit: An Explanation
This video goes through a detailed explanation of the workings of an LC oscillating circuit. An LC oscillator converts a DC supply voltage into an AC output. LC Oscillators are used in many pieces of test equipment and in radio-frequency circuits because of their good phase noise charact
From playlist DC Circuits, RC and RL Circuit Analysis
Pomeau Yves "Limit cycles in the strongly nonlinear limit"
Résumé The discovery of the idea of limit cycle by Poincare was based mostly on geometrical considerations. The application to ordinary differential equations can be done analytically in the opposite limits of weak and of strong nonlinearity. In the latter, one finds what are called relax
From playlist Colloque Scientifique International Poincaré 100
Lecture 11 | MIT 6.832 Underactuated Robotics, Spring 2009
Lecture 11: Walking Instructor: Russell Tedrake See the complete course at: http://ocw.mit.edu/6-832s09 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.832 Underactuated Robotics, Spring 2009
MIT Electronic Feedback Systems (1985) View the complete course: http://ocw.mit.edu/RES6-010S13 Instructor: James K. Roberge License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Electronic Feedback Systems (1985)
Mod-06 Lec-33 Second Order Linear Equations Continued III
Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.
From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics