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

Feedback control systems01:26

Feedback control systems

800
Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
800
Effects of feedback01:24

Effects of feedback

1.1K
Feedback in control systems plays a critical role in shaping various operational parameters, extending beyond simple error reduction to influence stability, bandwidth, gain, impedance, and sensitivity. Understanding these effects requires examining a basic feedback system characterized by defined input, output, error, and feedback signals.
Feedback significantly modifies the gain of a control system. The gain of a system without feedback is altered by a factor of one plus GH, where G represents...
1.1K
Classification of Systems-I01:26

Classification of Systems-I

742
Linearity is a system property characterized by a direct input-output relationship, combining homogeneity and additivity.
Homogeneity dictates that if an input x(t) is multiplied by a constant c, the output y(t) is multiplied by the same constant. Mathematically, this is expressed as:
742
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

502
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....
502
Linear time-invariant Systems01:23

Linear time-invariant Systems

1.1K
A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
1.1K
Feedback Loops01:01

Feedback Loops

43.9K
In most cases, excessive hormone production is prevented by negative feedback—a loop that starts with a stimulus inducing the release of a particular substance, like a hormone, to maintain a certain level before triggering a signal that results in a decrease in further release of the hormone.
43.9K

You might also read

Related Articles

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

Sort by
Same author

The x-ray absorption spectrum of the propargyl radical C3H3●.

The Journal of chemical physics·2026
Same author

Experimental memory control in continuous-variable optical quantum reservoir computing.

Nature photonics·2026
Same author

X-ray-Induced Fragmentation of Isothiocyanic Acid, HNCS.

The journal of physical chemistry. A·2026
Same author

Threshold photoelectron spectroscopy of small organo-selenium radicals.

Physical chemistry chemical physics : PCCP·2025
Same author

State-selective fragmentation of singly ionized HNCS: Experiment and theory.

The Journal of chemical physics·2025
Same author

Time-resolved X-ray spectroscopy of phenanthridine: elucidating the photodynamics of a nitrogen-containing polycyclic aromatic hydrocarbon.

Chemical science·2025

Related Experiment Video

Updated: May 4, 2026

Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements
14:18

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

Published on: February 28, 2016

11.0K

Relation between delayed feedback and delay-coupled systems and its application to chaotic lasers.

Miguel C Soriano1, Valentin Flunkert1, Ingo Fischer1

  • 1Instituto de Física Interdisciplinar y Sistemas Complejos, IFISC (CSIC-UIB), Campus Universitat Illes Balears, E-07122 Palma de Mallorca, Spain.

Chaos (Woodbury, N.Y.)
|January 7, 2014
PubMed
Summary

We developed a method to compare chaotic systems with feedback and coupled systems. Our findings show that small time-series segments are statistically similar across different delays and coupling types.

More Related Videos

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
07:42

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

Published on: December 15, 2021

2.5K
Construction and Characterization of External Cavity Diode Lasers for Atomic Physics
09:10

Construction and Characterization of External Cavity Diode Lasers for Atomic Physics

Published on: April 24, 2014

31.0K

Related Experiment Videos

Last Updated: May 4, 2026

Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements
14:18

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

Published on: February 28, 2016

11.0K
Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
07:42

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

Published on: December 15, 2021

2.5K
Construction and Characterization of External Cavity Diode Lasers for Atomic Physics
09:10

Construction and Characterization of External Cavity Diode Lasers for Atomic Physics

Published on: April 24, 2014

31.0K

Area of Science:

  • Nonlinear Dynamics
  • Chaos Theory
  • Complex Systems

Background:

  • Chaotic systems with delayed feedback are complex.
  • Coupled chaotic systems are often studied for identical synchronization.
  • General synchronization and unsynchronized states in coupled systems are less explored.

Purpose of the Study:

  • To systematically compare chaotic systems with delayed feedback and mutually delay-coupled systems.
  • To analyze both synchronized and unsynchronized states beyond identical synchronization.
  • To establish a framework for understanding similarities and differences in complex dynamical systems.

Main Methods:

  • Constructing novel time-series for different coupling schemes.
  • Employing analytic methods to derive theoretical evidence.
  • Utilizing numerical simulations for empirical confirmation.
  • Focusing on delay-coupled chaotic lasers as a practical model.

Main Results:

  • Demonstrated statistical equivalence between time-series from different coupling schemes.
  • Proved that short time-series segment distributions are independent of delay and coupling.
  • Provided analytic and numerical evidence for the findings.
  • Illustrated the practical applicability using chaotic laser systems.

Conclusions:

  • The statistical properties of short time-series segments in coupled chaotic systems are robust.
  • The findings offer a generalized understanding of synchronization in complex systems.
  • This work provides a foundation for analyzing and controlling chaotic dynamics in various applications.