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

Phase-lead and Phase-lag Controllers01:22

Phase-lead and Phase-lag Controllers

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 filters, manage...
Oscillations In An LC Circuit01:30

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
Forced Oscillations01:06

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

Time and frequency -Domain Interpretation of Phase-lead Control

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...
Time and frequency -Domain Interpretation of Phase-lag Control01:21

Time and frequency -Domain Interpretation of Phase-lag Control

Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any finite,...
Controller Configurations01:22

Controller Configurations

Controller configurations are crucial in a car's cruise control system because they manage speed over time to maintain a consistent pace regardless of road conditions, thereby meeting design goals. In traditional control systems, fixed-configuration design involves predetermined controller placement. System performance modifications are known as compensation.
Control-system compensation involves various configurations, most commonly series or cascade compensation, in which the controller aligns...

You might also read

Related Articles

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

Sort by
Same author

Ordinal pattern of brain electrical activity as a marker of stroke-induced alterations in motor imagery task.

Chaos (Woodbury, N.Y.)·2026
Same author

Opinion-driven vaccination and epidemic dynamics on heterogeneous networks.

Scientific reports·2026
Same author

Origins of instability in dynamical systems on undirected networks.

Physical review. E·2026
Same author

Learning transitions to extreme events using reservoir computing.

Physical review. E·2025
Same author

Generalized adaptation-induced non-universal synchronization transitions in random hypergraphs.

Chaos (Woodbury, N.Y.)·2025
Same author

Forecasting precipitation in the Arctic using probabilistic machine learning informed by causal climate drivers.

Chaos (Woodbury, N.Y.)·2025
Same journal

Topological dependence of viral mutation spread in complex host-interaction networks.

Chaos (Woodbury, N.Y.)·2026
Same journal

Multifractal signatures of Hamiltonian chaos in Hyperion's rotational dynamics.

Chaos (Woodbury, N.Y.)·2026
Same journal

Exploring mechanisms for reversal of flow in tunicate hearts.

Chaos (Woodbury, N.Y.)·2026
Same journal

State estimation in spatiotemporal chaos via low-rank StatFEM.

Chaos (Woodbury, N.Y.)·2026
Same journal

Universal response functions in driven dissipative tunneling dynamics.

Chaos (Woodbury, N.Y.)·2026
Same journal

A network-based approach to characterize the dynamics of the coupling field of thermoacoustic oscillators in annular geometry.

Chaos (Woodbury, N.Y.)·2026
See all related articles

Related Experiment Video

Updated: Jun 3, 2026

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

Engineering synchronization of chaotic oscillators using controller based coupling design.

E Padmanaban1, Chittaranjan Hens, Syamal K Dana

  • 1Central Instrumentation, Indian Institute of Chemical Biology, (Council of Scientific and Industrial Research), Jadavpur, Kolkata 700032, India. padmanaban@iicb.res.in

Chaos (Woodbury, N.Y.)
|April 5, 2011
PubMed
Summary
This summary is machine-generated.

We developed a general method for synchronizing chaotic oscillators, allowing control over chaotic attractors. This technique was verified in electronic circuits and extended to oscillator networks.

More Related Videos

Fabrication and Testing of Microfluidic Optomechanical Oscillators
09:10

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Published on: May 29, 2014

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
11:54

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface

Published on: May 8, 2021

Related Experiment Videos

Last Updated: Jun 3, 2026

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

Fabrication and Testing of Microfluidic Optomechanical Oscillators
09:10

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Published on: May 29, 2014

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
11:54

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface

Published on: May 8, 2021

Area of Science:

  • Nonlinear Dynamics
  • Chaos Theory
  • Control Engineering

Background:

  • Chaotic oscillators exhibit complex, unpredictable behavior.
  • Synchronization of chaotic systems is crucial for various applications.
  • Existing coupling methods may lack generalizability or physical realization.

Purpose of the Study:

  • To propose a general formulation for engineering synchronization in chaotic oscillators.
  • To enable amplification or attenuation of chaotic attractors.
  • To validate the proposed coupling method through physical experiments and network analysis.

Main Methods:

  • Developing a general mathematical framework for chaotic oscillator coupling.
  • Implementing unidirectional and bidirectional coupling modes.
  • Conducting numerical simulations using Lorenz, Rössler, and Sprott systems.
  • Physically realizing the controller-based coupling design in electronic circuits.
  • Extending the theory to networks of coupled chaotic oscillators.

Main Results:

  • Demonstrated successful synchronization of chaotic oscillators.
  • Showcased the ability to amplify or attenuate chaotic attractors.
  • Validated the theoretical framework with numerical examples.
  • Confirmed the practical feasibility through electronic circuit implementation.
  • Extended synchronization concepts to a network of four Sprott oscillators.

Conclusions:

  • The proposed general formulation effectively engineers synchronization in chaotic oscillators.
  • The method allows for precise control over chaotic attractor dynamics.
  • Physical realization and network extension confirm the robustness and applicability of the theory.