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

Forced Oscillations01:06

Forced Oscillations

7.4K
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.
7.4K
Design Example: Underdamped Parallel RLC Circuit01:17

Design Example: Underdamped Parallel RLC Circuit

544
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...
544
RLC Circuit as a Damped Oscillator01:30

RLC Circuit as a Damped Oscillator

1.9K
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...
1.9K
Oscillations In An LC Circuit01:30

Oscillations In An LC Circuit

2.9K
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
2.9K
Time and frequency -Domain Interpretation of Phase-lead Control01:24

Time and frequency -Domain Interpretation of Phase-lead Control

367
Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...
367
Phase-lead and Phase-lag Controllers01:22

Phase-lead and Phase-lag Controllers

448
Understanding the working function of different types of controllers can be illustrated with practical analogies, such as adjusting a stereo's volume equalizer. Cranking up the bass involves a phase-lead controller, which functions as a high-pass filter, while increasing the treble uses a phase-lag controller, which acts as a low-pass filter. PD controllers, similar to high-pass filters, enhance the system's response to high-frequency components. PI controllers, akin to low-pass...
448

You might also read

Related Articles

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

Sort by
Same author

Some elements for a history of the dynamical systems theory.

Chaos (Woodbury, N.Y.)·2021
Same author

Pump-probe X-ray holographic imaging of laser-induced cavitation bubbles with femtosecond FEL pulses.

Nature communications·2021
Same author

Terminating transient chaos in spatially extended systems.

Chaos (Woodbury, N.Y.)·2020
Same author

Convolutional autoencoder and conditional random fields hybrid for predicting spatial-temporal chaos.

Chaos (Woodbury, N.Y.)·2020
Same author

Ice crystallization induced by optical breakdown.

Physical review letters·2007
Same author

High-speed observation of acoustic cavitation erosion in multibubble systems.

Ultrasonics sonochemistry·2004

Related Experiment Video

Updated: Dec 13, 2025

Assembly and Characterization of an External Driver for the Generation of Sub-Kilohertz Oscillatory Flow in Microchannels
08:32

Assembly and Characterization of an External Driver for the Generation of Sub-Kilohertz Oscillatory Flow in Microchannels

Published on: January 28, 2022

2.7K

Feedforward attractor targeting for non-linear oscillators using a dual-frequency driving technique.

F Hegedűs1, P Krähling1, M Aron2

  • 1Department of Hydrodynamic Systems, Faculty of Mechanical Engineering, Budapest University of Technology and Economics, Műegyetem rakpart 3, H-1111 Budapest, Hungary.

Chaos (Woodbury, N.Y.)
|August 6, 2020
PubMed
Summary

This study introduces a feedforward control method using dual-frequency driving to steer non-linear systems between attractors. The technique successfully transforms system trajectories, demonstrating control over non-linear oscillator dynamics.

More Related Videos

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

9.5K
Fabrication and Testing of Microfluidic Optomechanical Oscillators
09:10

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Published on: May 29, 2014

12.5K

Related Experiment Videos

Last Updated: Dec 13, 2025

Assembly and Characterization of an External Driver for the Generation of Sub-Kilohertz Oscillatory Flow in Microchannels
08:32

Assembly and Characterization of an External Driver for the Generation of Sub-Kilohertz Oscillatory Flow in Microchannels

Published on: January 28, 2022

2.7K
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

9.5K
Fabrication and Testing of Microfluidic Optomechanical Oscillators
09:10

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Published on: May 29, 2014

12.5K

Area of Science:

  • Non-linear dynamics
  • Control theory
  • Acoustics

Background:

  • Harmonically driven non-linear systems exhibit complex behaviors, including attractors.
  • Controlling transitions between these attractors is crucial for understanding and manipulating system dynamics.
  • The Keller-Miksis equation models the radial dynamics of a single spherical gas bubble, a relevant non-linear oscillator.

Purpose of the Study:

  • To present a novel feedforward control technique for steering non-linear systems between attractors.
  • To demonstrate the application of this technique to the Keller-Miksis equation.
  • To analyze the transformation possibilities between different attractors.

Main Methods:

  • A feedforward control strategy is implemented by temporarily adding a second harmonic component to the driving force.
  • The control technique is applied to the Keller-Miksis equation, a second-order non-linear ordinary differential equation.
  • System trajectories are analyzed by tuning the frequency ratio and amplitudes of the dual-frequency excitation.

Main Results:

  • The presented technique enables smooth transformation of system trajectories between distinct attractors in the frequency-amplitude parameter plane.
  • Specific examples include transitions between period-3 and period-5 orbits.
  • The study discusses and summarizes transformation possibilities from subharmonic resonances and the equilibrium state.

Conclusions:

  • Feedforward control using dual-frequency driving offers an effective method for manipulating attractor transitions in non-linear systems.
  • This approach provides a means to precisely control the dynamics of systems like the radial oscillations of a gas bubble.
  • The findings contribute to the understanding of non-linear system control and resonance phenomena.