Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Design Example: Underdamped Parallel RLC Circuit01:17

Design Example: Underdamped Parallel RLC Circuit

821
Consider designing an oscillator circuit, a crucial component in various electronic devices and systems. The objective is to create an oscillator circuit with specific characteristics: a damped natural frequency of 4 kHz and a damping factor of 4 radians per second. To accomplish this, a parallel RLC circuit is employed, known for its ability to sustain oscillations at a resonant frequency. In this case, the damping factor is pivotal in achieving the desired performance.
Starting with a fixed...
821
Frequency Response of a Circuit01:20

Frequency Response of a Circuit

1.0K
Inductive circuits present intriguing challenges in electrical engineering, particularly during the transition from the time domain to the frequency domain. This transformation involves converting inductors into impedances and utilizing phasor representation.
The transfer function is pivotal in characterizing how these circuits react to various frequencies, facilitating a profound understanding of their behavior. An essential parameter is the time constant, signifying the...
1.0K
Network Function of a Circuit01:25

Network Function of a Circuit

1.1K
Frequency response analysis in electrical circuits provides vital insights into a circuit's behavior as the frequency of the input signal changes. The transfer function, a mathematical tool, is instrumental in understanding this behavior. It defines the relationship between phasor output and input and comes in four types: voltage gain, current gain, transfer impedance, and transfer admittance. The critical components of the transfer function are the poles and zeros.
1.1K
Frequency Response of Op Amp Circuits01:20

Frequency Response of Op Amp Circuits

937
Operational amplifiers (op-amp) are used in signal conditioning, filtering, or for performing mathematical operations such as addition, subtraction, integration, and differentiation. The frequency response of an op-amp is an important aspect that describes how the gain of the amplifier varies with frequency.
Frequency Response and Gain:
The gain of the op-amp, A(ω), is not a constant but a function of the input signal frequency. An op-amp can maintain a constant gain at low frequencies,...
937
Oscillations In An LC Circuit01:30

Oscillations In An LC Circuit

2.7K
An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
2.7K
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

503
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
503

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Resampling to address inequities in predictive modeling of suicide deaths.

BMJ health & care informatics·2022
Same author

Suicide Risk Among Hospitalized Versus Discharged Deliberate Self-Harm Patients: Generalized Random Forest Analysis Using a Large Claims Data Set.

American journal of preventive medicine·2021
Same author

The Interdisciplinarity of Collaborations in Cognitive Science.

Cognitive science·2016
Same author

CMCpy: Genetic Code-Message Coevolution Models in Python.

Evolutionary bioinformatics online·2013

Related Experiment Video

Updated: May 6, 2026

Fabrication and Testing of Microfluidic Optomechanical Oscillators
09:10

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Published on: May 29, 2014

11.7K

Frequency response and gap tuning for nonlinear electrical oscillator networks.

Harish S Bhat1, Garnet J Vaz

  • 1Applied Mathematics Unit, University of California Merced, Merced, California, United States of America.

Plos One
|November 14, 2013
PubMed
Summary

We developed algorithms to efficiently compute steady-state responses in nonlinear electrical oscillator networks. Adjusting network structure, specifically graph Laplacian eigenvalues, enhances nonlinear behavior and signal generation.

More Related Videos

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters
15:25

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters

Published on: February 4, 2018

5.4K
Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.0K

Related Experiment Videos

Last Updated: May 6, 2026

Fabrication and Testing of Microfluidic Optomechanical Oscillators
09:10

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Published on: May 29, 2014

11.7K
Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters
15:25

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters

Published on: February 4, 2018

5.4K
Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.0K

Area of Science:

  • Electrical Engineering
  • Nonlinear Dynamics
  • Network Theory

Background:

  • Nonlinear electrical oscillator networks generalize discrete nonlinear transmission lines used in analog devices.
  • Understanding network behavior requires efficient computation of steady-state responses.

Purpose of the Study:

  • To develop accurate and efficient algorithms for computing steady-state responses in nonlinear oscillator networks.
  • To enhance network nonlinear behavior by manipulating graph Laplacian eigenvalues.
  • To investigate the relationship between network structure and nonlinear frequency response.

Main Methods:

  • Developed two algorithms for computing steady-state responses in driven nonlinear oscillator networks.
  • Implemented a Newton-type method to solve for network inductances and achieve desired graph Laplacian eigenvalues.
  • Conducted numerical experiments on random graph models.

Main Results:

  • The new algorithms are orders of magnitude more accurate and efficient than standard numerical integrators.
  • Shrinking the gap between the first two graph Laplacian eigenvalues significantly improves energy transfer to higher harmonics.
  • This structural modification also enhances the generation of large-amplitude signals.

Conclusions:

  • Network structure, represented by the graph Laplacian, critically influences nonlinear effects in the frequency response.
  • Targeting graph Laplacian eigenvalues offers a method to engineer enhanced nonlinear behavior in electrical oscillator networks.
  • The findings provide insights into designing advanced high-frequency analog devices.