Ordinary differential equations | Dynamical systems
A parametric oscillator is a driven harmonic oscillator in which the oscillations are driven by varying some parameter of the system at some frequency, typically different from the natural frequency of the oscillator. A simple example of a parametric oscillator is a child pumping a playground swing by periodically standing and squatting to increase the size of the swing's oscillations. The child's motions vary the moment of inertia of the swing as a pendulum. The "pump" motions of the child must be at twice the frequency of the swing's oscillations. Examples of parameters that may be varied are the oscillator's resonance frequency and damping . Parametric oscillators are used in several areas of physics. The classical varactor parametric oscillator consists of a semiconductor varactor diode connected to a resonant circuit or cavity resonator. It is driven by varying the diode's capacitance by applying a varying bias voltage. The circuit that varies the diode's capacitance is called the "pump" or "driver". In microwave electronics, waveguide/YAG-based parametric oscillators operate in the same fashion. Another important example is the optical parametric oscillator, which converts an input laser light wave into two output waves of lower frequency. When operated at pump levels below oscillation, the parametric oscillator can amplify a signal, forming a parametric amplifier (paramp). Varactor parametric amplifiers were developed as low-noise amplifiers in the radio and microwave frequency range. The advantage of a parametric amplifier is that it has much lower noise than an amplifier based on a gain device like a transistor or vacuum tube. This is because in the parametric amplifier a reactance is varied instead of a (noise-producing) resistance. They are used in very low noise radio receivers in radio telescopes and spacecraft communication antennas. Parametric resonance occurs in a mechanical system when a system is parametrically excited and oscillates at one of its resonant frequencies. Parametric excitation differs from forcing since the action appears as a time varying modification on a system parameter. (Wikipedia).
Introduction to Parametric Equations
This video defines a parametric equations and shows how to graph a parametric equation by hand. http://mathispower4u.yolasite.com/
From playlist Parametric Equations
Learn how to eliminate the parameter with trig functions
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the parameter allows us to write parametric equation in r
From playlist Parametric Equations
Calculus 2: Parametric Equations (1 of 20) What is a Parametric Equation?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a parametric equation. A parametric equation is an equation that expresses each variable of an equation in terms of another variable. Next video in the series can be seen at: https://
From playlist CALCULUS 2 CH 17 PARAMETRIC EQUATIONS
Math tutorial for eliminating the parameter
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the parameter allows us to write parametric equation in r
From playlist Parametric Equations
Since we just covered polar equations, let's go over one other way we can graph functions. Parametric equations are actually a set of equations whereby two variables like x and y both depend on the same variable, usually time, and therefore each rectangular coordinate is determined by its
From playlist Mathematics (All Of It)
Eliminating the parameter for parametric equations quadratic
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the parameter allows us to write parametric equation in r
From playlist Parametric Equations
[DEMONSTRATION] - Parametric Excitation
Several different types of driving mechanisms can excite and maintain the motion of an oscillator. The standard mechanism is a direct drive, where an oscillating force is exerted on the mass. Another mechanism, which is seldom taught in classes, is parametric excitation. This mechanism has
From playlist Physics Demonstrations
Parametric Excitation of Electric Oscillations
#SoME2 #electricity #ericdollard This video gives an introduction into parametric resonance in a series resonant electric circuit. This is my first attempt at making a lecture style video and my first time coding math animations, two things I've always wanted to do. It was so fun to l
From playlist Summer of Math Exposition 2 videos
Broadband parametric amplifiers for quantum measurements by Rajamani Vijayaraghavan
Open Quantum Systems DATE: 17 July 2017 to 04 August 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore There have been major recent breakthroughs, both experimental and theoretical, in the field of Open Quantum Systems. The aim of this program is to bring together leaders in the Open Q
From playlist Open Quantum Systems
[DEMONSTRATION] - Parametric Instability
The demonstrations begin with a mass suspended from a spring, which is used in the video “Period of Simple Harmonic Motion.” The original 1.0 kg mass is then replaced with a 0.5 kg mass, and the longitudinal oscillations are now observed to be unstable when the amplitude exceeds a thresh
From playlist Physics Demonstrations
Basics of quantum measurement with quantum light by Michael Hatridge
DATE: 04 June 2018 to 13 June 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore Non-Hermitian Physics-"Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP) XVIII" is the 18th meeting in the series that is being held over the years in Quantum Physics. The scope of the program on Non-H
From playlist Non-Hermitian Physics - PHHQP XVIII
Learn how to eliminate the parameter with linear equations
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the parameter allows us to write parametric equation in r
From playlist Parametric Equations
Horizons in Accelerators, Particle/Nuclear Physics and Laboratory-based Quantum Sensors for HEP/NP-3
PROGRAM HORIZONS IN ACCELERATORS, PARTICLE/NUCLEAR PHYSICS AND LABORATORY-BASED QUANTUM SENSORS FOR HEP/NP (HYBRID) ORGANIZERS: Swapan Chattopadhyay (FNAL, Batavia, USA & IISc, India) and Rohini Godbole (IISc, India) DATE: 14 November 2022 to 17 November 2022 VENUE: Chandrasekhar Audit
From playlist Horizons in Accelerators, Particle/Nuclear Physics and Laboratory-based Quantum Sensors for HEP/NP (HYBRID)
Calculus 13.3 Arc Length and Curvature
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
Quantum measurement of coherent states and qubits by Michael Hatridge
Non-Hermitian Physics - PHHQP XVIII DATE: 04 June 2018 to 13 June 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore Non-Hermitian Physics-"Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP) XVIII" is the 18th meeting in the series that is being held over the years in Quantum Phys
From playlist Non-Hermitian Physics - PHHQP XVIII
Parametrically Driven Oscillator Demonstrations
This lecture is part of Ph4459: Non-linear waves and oscillations, taught by Dr. Andres Larraza at the Naval Postgraduate School. Included in this lecture are Parametrically Driven Oscillator Demonstrations
From playlist In-class Physics Demonstrations
Eliminating the parameter for parametric trigonometric
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the parameter allows us to write parametric equation in r
From playlist Parametric Equations
How to eliminate the parameter to identify the linear equation
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the parameter allows us to write parametric equation in r
From playlist Parametric Equations
Calculus 3: Vector Calculus in 3-D (4 of 35) What Are Parametric Equations?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what are parametric equations. Parametric equations are equations that enable us to define the position (in terms of x, y, z) or the change in position (in terms of x, y, z) using a single var
From playlist CALCULUS 3 CH 3.3 VECTOR CALCULUS IN 3-D
Hybrid quantum/classical computing on a 19-qubit (...) - N. Didier - PRACQSYS 2018 - CEB T2 2018
Nicolas Didier (Rigetti Computing, Berkeley, USA) / 04.07.2018 Hybrid quantum/classical computing on a 19-qubit processor based on parametrically-activated entangling gates Superconducting devices are one of the most promising platforms for building quantum computers, but demonstrating f
From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments