Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Parallel Resonance

Parallel Resonance

The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:

Concept of Resonance and its Characteristics

Concept of Resonance and its Characteristics

If a driven oscillator needs to resonate at a specific frequency, then very light damping is required. An example of light damping includes playing piano strings and many other musical instruments. Conversely, to achieve small-amplitude oscillations as in a car's suspension system, heavy damping is required. Heavy damping reduces the amplitude, but the tradeoff is that the system responds at more frequencies. Speed bumps and gravel roads prove that even a car's suspension system is not immune...

Sound Waves: Resonance

Sound Waves: Resonance

Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...

Forced Oscillations

Forced Oscillations

When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.

Linear Approximation in Frequency Domain

Linear Approximation in Frequency Domain

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.

Design Example: Underdamped Parallel RLC Circuit

Design Example: Underdamped Parallel RLC Circuit

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...

You might also read

Related Articles

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

Sort by

Same author

Predefined-time distributed optimal formation control for constrained UAV-UGV systems.

ISA transactions·2026

Same author

Metabolomic Analysis of the Effects of Cysteamine Zinc on the Composition and Amino Acid Profile of Mare's Milk.

Life (Basel, Switzerland)·2026

Same author

Triterpenoid saponins from <i>Caragana korshinskii</i> Kom.: <i>α</i>‑glucosidase inhibitory activity and characterisation of four new compounds.

Natural product research·2026

Same author

A cohort study on inflammatory response and coagulation function changes in women with silver clip or silk ligation sterilisation.

Annals of medicine·2026

Same author

The effects of citrulline on horse milk components and fecal metabolism were analyzed based on LC-MS and 16s amplicon.

BMC veterinary research·2026

Same author

Developing adverse outcome pathways underlying CAR activation-induced liver injuries using HepG2 spheroid model.

Archives of toxicology·2026

Search research articles

Related Experiment Video

Updated: May 13, 2026

Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements

Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements

Published on: February 28, 2016

Weak-periodic stochastic resonance in a parallel array of static nonlinearities.

Yumei Ma¹, Fabing Duan, François Chapeau-Blondeau

¹College of Automation Engineering, Qingdao University, Qingdao, People's Republic of China.

|March 19, 2013

Summary

This study shows that increasing the size of nonlinear element arrays always improves signal-to-noise ratio (SNR) gain. Stochastic resonance does not occur with optimal nonlinearities, but can be achieved with simpler threshold nonlinearities.

More Related Videos

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

Published on: December 15, 2021

Related Experiment Videos

Last Updated: May 13, 2026

Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements

Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements

Published on: February 28, 2016

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

Published on: December 15, 2021

Area of Science:

Nonlinear dynamics
Signal processing
Statistical physics

Background:

Investigating methods to enhance signal transmission in noisy environments.
Understanding the behavior of parallel arrays of nonlinear elements.

Purpose of the Study:

To derive an explicit expression for the output-input signal-to-noise ratio (SNR) gain in uncoupled parallel arrays of static nonlinear elements.
To analyze the SNR gain as a function of array size and nonlinearity.
To explore the conditions under which stochastic resonance occurs or is precluded.

Main Methods:

Derivation of an explicit expression for SNR gain in the small-signal limit.
Mathematical analysis of SNR gain as a function of array size and nonlinearity.
Investigation of locally optimal and threshold nonlinearities.

Main Results:

SNR gain is a monotonically increasing function of array size for any static nonlinearity.
Locally optimal nonlinearity provides an upper bound for SNR gain.
Stochastic resonance does not occur with locally optimal nonlinearity.
Stochastic resonance can occur in arrays of suboptimal threshold nonlinearities, potentially exceeding unity SNR gain.

Conclusions:

Array size is a key factor in improving SNR gain for nonlinear systems.
The choice of nonlinearity critically affects SNR gain and the occurrence of stochastic resonance.
Threshold nonlinearities offer a practical approach for achieving stochastic resonance and high SNR gain in specific scenarios.