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

Network Function of a Circuit

Network Function of a Circuit

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.

Oscillations In An LC Circuit

Oscillations In An LC Circuit

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

RLC Circuit as a Damped Oscillator

RLC Circuit as a Damped Oscillator

An RLC circuit combines a resistor, inductor, and capacitor, connected in a series or parallel combination.
Consider a series RLC circuit. Here, the presence of resistance in the circuit leads to energy loss due to joule heating in the resistance. Therefore, the total electromagnetic energy in the circuit is no longer constant and decreases with time. Since the magnitude of charge, current, and potential difference continuously decreases, their oscillations are said to be damped. This is...

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.

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...

Series R—L Circuit Transients

Series R—L Circuit Transients

In a series resistor-inductor (R-L) circuit, closing the switch at the start of the time period simulates a three-phase short circuit, a fault condition where all three phases of an unloaded synchronous machine are short-circuited. When there is no fault impedance and no initial current, the initial voltage is determined by the phase angle of the source voltage.
Using Kirchhoff's Voltage Law (KVL) to analyze this circuit helps determine the total asymmetrical fault current, which consists of...

You might also read

Related Articles

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

Sort by

Same author

Stability analysis of fractional difference equations with delay.

Chaos (Woodbury, N.Y.)·2024

Same author

Intrinsically disordered proteins: Ensembles at the limits of Anfinsen's dogma.

Biophysics reviews·2024

Same author

Transition to period-3 synchronized state in coupled gauss maps.

Chaos (Woodbury, N.Y.)·2024

Same author

Intrinsically disordered proteins and conformational noise: The hypothesis a decade later.

iScience·2023

Same author

Study of low-dimensional nonlinear fractional difference equations of complex order.

Chaos (Woodbury, N.Y.)·2022

Same author

Absorbing phase transition in a unidirectionally coupled layered network.

Physical review. E·2022

Search research articles

Related Experiment Video

Updated: May 7, 2026

Fabrication and Characterization of High-Q Silicon Nitride Membrane Resonators

Fabrication and Characterization of High-Q Silicon Nitride Membrane Resonators

Published on: August 8, 2025

Frustration induced oscillator death on networks.

Prashant M Gade¹, Govindan Rangarajan

¹PG Department of Physics, Rashtrasant Tukdoji Maharaj Nagpur University, Nagpur 440033, India.

Chaos (Woodbury, N.Y.)

|October 5, 2013

Summary

We studied coupled maps with Ising symmetry and found that antisynchronization occurs with specific coupling signs. Randomness in couplings destabilizes this state, leading to oscillator death, a frustration-induced effect.

Area of Science:

Complex systems
Statistical physics
Dynamical systems

Background:

Coupled map lattices exhibit complex dynamics.
Ising symmetry and coupling signs influence system behavior.
Antisynchronization and oscillator death are key phenomena in coupled oscillators.

Purpose of the Study:

Investigate the effects of positive and negative couplings in identical maps with Ising symmetry.
Analyze the stability of antisynchronized states under varying coupling randomness.
Explain the observed phenomena using random matrix theory.

Main Methods:

Studied an array of identical maps with Ising symmetry.
Divided maps into two groups with specific intra- and inter-group couplings.
Introduced controlled randomness in coupling signs.

More Related Videos

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Published on: May 29, 2014

Related Experiment Videos

Last Updated: May 7, 2026

Fabrication and Characterization of High-Q Silicon Nitride Membrane Resonators

Fabrication and Characterization of High-Q Silicon Nitride Membrane Resonators

Published on: August 8, 2025

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Published on: May 29, 2014

Applied the theory of random matrices with nonzero mean for analysis.

Main Results:

Antisynchronization was observed between two groups with positive intra-group and negative inter-group couplings.
The antisynchronized state shares stability properties with synchronized states.
Increasing randomness in coupling signs destabilized antisynchronization, leading to oscillator death.
The phenomenon was identified as frustration-induced.

Conclusions:

The interplay of coupling signs and randomness is crucial for the dynamics of coupled map lattices.
Random matrix theory provides a framework for understanding these complex behaviors.
Findings have implications for coupled differential equations and complex system modeling.