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

Root Loci for Positive-Feedback Systems01:23

Root Loci for Positive-Feedback Systems

169
The Hartley oscillator is a positive feedback system that sustains oscillations by feeding the output back to the input in phase, thereby reinforcing the signal. Positive feedback systems can be viewed as negative feedback systems with inverted feedback signals. In these systems, the root locus encompasses all points on the s-plane where the angle of the system transfer function equals 360 degrees.
The construction rules for the root locus in positive feedback systems are similar to those in...
169
Forced Oscillations01:06

Forced Oscillations

6.9K
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.
6.9K
Oscillations In An LC Circuit01:30

Oscillations In An LC Circuit

2.5K
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
2.5K
Effective Value of a Periodic Waveform01:07

Effective Value of a Periodic Waveform

753
The concept of effective value, the root mean square (RMS) value, is crucial in understanding electrical circuits and power delivery. This idea emerges from the necessity to measure the effectiveness of a voltage or current source in supplying power to a resistive load.
The effective value of a periodic current represents the direct current (DC) that conveys the same average power to a resistor as the periodic current itself. This concept is crucial when assessing AC circuits. To determine the...
753
Oscillations about an Equilibrium Position01:04

Oscillations about an Equilibrium Position

5.8K
Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so...
5.8K
Damped Oscillations01:07

Damped Oscillations

6.2K
In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
6.2K

You might also read

Related Articles

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

Sort by
Same author

Environmentally sustainable fabrication of high-performance M-type hexaferrite BaFe<sub>11.6</sub>Mn<sub>0.4</sub>O<sub>19</sub> using manganese residue and rare earths for microwave absorption applications.

Scientific reports·2026
Same author

Clostridium sporogenes and its tryptophan metabolite indole -3- propionic acid repair antibiotic-induced muscle atrophy in mice.

The Journal of nutritional biochemistry·2025
Same author

Preparation and Properties of Micron Near-Spherical Alumina Powders from Hydratable Alumina with Ammonium Fluoroborate.

Materials (Basel, Switzerland)·2025
Same author

Angptl4 is upregulated by microenvironmental factors during the wound healing process and promotes epidermal stem cell proliferation via PRL8a6.

Acta biochimica et biophysica Sinica·2025
Same author

Resource Utilization of the Electrolytic Manganese Residue in Unfired Bricks: Pretreatment, Strength Enhancement, and Microwave Absorption Properties.

ACS omega·2025
Same author

The gut-brain axis mechanism of normal appetite induced by kynurenic acid.

Cell reports·2025
Same journal

Gap junction architecture and synchronization clusters in the thalamic reticular nuclei.

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

Exact computation of Lyapunov exponents via system parameters in multi-triangle chaotic maps: Bifurcation analysis and circuit realization.

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

Integrating score-based generative modeling and neural ODEs for accurate representation of multiscale chaotic dynamics.

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

A data-driven tuberculosis model with behavioral changes and saturated treatment: Optimal control and cost-effectiveness study.

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

Breathers, rational solutions, and their exact physical spectra in F = 1 spinor Bose-Einstein condensates.

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

Finite invariant sets with bridging points in logistic IFS.

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

Related Experiment Video

Updated: Oct 10, 2025

Fabrication and Operation of a Nano-Optical Conveyor Belt
11:10

Fabrication and Operation of a Nano-Optical Conveyor Belt

Published on: August 26, 2015

11.7K

Periodic offset boosting for attractor self-reproducing.

Chunbiao Li1, Yicheng Jiang1, Ran Wang1

  • 1Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science and Technology, Nanjing 210044, China.

Chaos (Woodbury, N.Y.)
|December 9, 2021
PubMed
Summary
This summary is machine-generated.

Attractor self-reproducing is achieved through periodic offset boosting. Key parameters like position, size, and frequency dictate the trigonometric function, enabling designable and adjustable attractor reproduction for engineering applications.

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

9.1K
Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
11:21

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Published on: March 30, 2017

7.6K

Related Experiment Videos

Last Updated: Oct 10, 2025

Fabrication and Operation of a Nano-Optical Conveyor Belt
11:10

Fabrication and Operation of a Nano-Optical Conveyor Belt

Published on: August 26, 2015

11.7K
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

9.1K
Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
11:21

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Published on: March 30, 2017

7.6K

Area of Science:

  • Dynamical Systems and Chaos Theory
  • Nonlinear Dynamics

Background:

  • Multistability and attractor self-reproduction are complex phenomena in dynamical systems.
  • Understanding the underlying mechanisms is crucial for controlling system behavior.

Purpose of the Study:

  • To decode the special regime of multistability of attractor self-reproducing.
  • To establish a universal law for attractor self-reproducing based on offset boosting.

Main Methods:

  • Investigating attractor self-reproducing triggered by periodic initial condition-offset boosting.
  • Analyzing the influence of position, size, and clone frequency on trigonometric function selection.
  • Developing a universal law based on three sinusoidal quantity elements: initial phase, amplitude, and frequency.

Main Results:

  • Attractor self-reproducing is fundamentally linked to periodic initial condition-triggered offset boosting.
  • A universal law is established: original position dictates initial phase, attractor size sets amplitude, and reproducing interval determines frequency.
  • The product of amplitude and frequency is a constant for a given periodic function.
  • Phase space waste occurs with negative slope switching in sinusoidal functions, unless conditional symmetry is re-established.

Conclusions:

  • Three-element-oriented offset boosting enhances the designability, achievability, and adjustability of attractor self-reproducing.
  • This approach offers significant convenience for various engineering applications.