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

Potential Due to a Polarized Object01:29

Potential Due to a Polarized Object

655
A neutral atom consists of a positively charged nucleus surrounded by a negatively charged electron cloud. When placed in an external electric field, the external electric force pulls the electrons and nucleus apart, opposite to the intrinsic attraction between the nucleus and the electrons. The opposing forces balance each other with a slight shift between the center of masses of the nucleus and the electron cloud, resulting in a polarized atom. On the other hand, a few molecules, like water,...
655
Induced Electric Dipoles01:28

Induced Electric Dipoles

4.6K
A permanent electric dipole orients itself along an external electric field. This rotation can be quantified by defining the potential energy because the external torque does work in rotating it. Then, the potential energy is minimum at the parallel configuration and maximum at the antiparallel configuration. While the former is a stable equilibrium, the latter is an unstable equilibrium.
Since the absolute value of potential energy holds no physical meaning, its zero value can be chosen as per...
4.6K
Cell Polarization by Rho Proteins01:21

Cell Polarization by Rho Proteins

3.4K
Cell polarity is the asymmetric distribution of cellular and membrane components, making one side of the cell different from the other. This polarity is essential to many processes such as embryogenesis, axon migration, glucose transport across epithelial cells, and directional cell migration. A migrating cell responds to intracellular or extracellular signals via molecular cascades that reorganize the actin cytoskeleton to establish this polarity. In these cells, the Rho family proteins Cdc42,...
3.4K
Potential Due to a Magnetized Object01:24

Potential Due to a Magnetized Object

712
Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs in the direction of the magnetic field. However, the dipoles align opposite to the field in the case of diamagnets. This state of magnetic polarization due to the external field is called magnetization. Magnetization is defined as the dipole moment per unit volume. It plays a similar role to polarization in electrostatics.
The vector...
712
Pole and System Stability01:24

Pole and System Stability

770
The transfer function is a fundamental concept representing the ratio of two polynomials. The numerator and denominator encapsulate the system's dynamics. The zeros and poles of this transfer function are critical in determining the system's behavior and stability.
Simple poles are unique roots of the denominator polynomial. Each simple pole corresponds to a distinct solution to the system's characteristic equation, typically resulting in exponential decay terms in the system's...
770
Root Loci for Positive-Feedback Systems01:23

Root Loci for Positive-Feedback Systems

254
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...
254

You might also read

Related Articles

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

Sort by
Same author

Quantifying the robustness of a chaotic system.

Chaos (Woodbury, N.Y.)·2022
Same author

Memristor-type chaotic mapping.

Chaos (Woodbury, N.Y.)·2022
Same author

Periodic offset boosting for attractor self-reproducing.

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

A 2D hyperchaotic map with conditional symmetry and attractor growth.

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

Dynamics editing based on offset boosting.

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

Doubling the coexisting attractors.

Chaos (Woodbury, N.Y.)·2019

Related Experiment Video

Updated: Dec 16, 2025

The Modular Design and Production of an Intelligent Robot Based on a Closed-Loop Control Strategy
11:53

The Modular Design and Production of an Intelligent Robot Based on a Closed-Loop Control Strategy

Published on: October 14, 2017

12.1K

Polarity balance for attractor self-reproducing.

Chunbiao Li1, Jiayu Sun1, Tianai Lu1

  • 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.)
|July 3, 2020
PubMed
Summary

Polarity balance, controlled by absolute value and signum functions, is crucial for managing chaotic systems and achieving attractor self-reproduction in nonlinear dynamics.

More Related Videos

Fabrication Procedures and Birefringence Measurements for Designing Magnetically Responsive Lanthanide Ion Chelating Phospholipid Assemblies
09:38

Fabrication Procedures and Birefringence Measurements for Designing Magnetically Responsive Lanthanide Ion Chelating Phospholipid Assemblies

Published on: January 3, 2018

7.5K
A Magnetic Tether System to Investigate Visual and Olfactory Mediated Flight Control in Drosophila
09:27

A Magnetic Tether System to Investigate Visual and Olfactory Mediated Flight Control in Drosophila

Published on: November 21, 2008

11.6K

Related Experiment Videos

Last Updated: Dec 16, 2025

The Modular Design and Production of an Intelligent Robot Based on a Closed-Loop Control Strategy
11:53

The Modular Design and Production of an Intelligent Robot Based on a Closed-Loop Control Strategy

Published on: October 14, 2017

12.1K
Fabrication Procedures and Birefringence Measurements for Designing Magnetically Responsive Lanthanide Ion Chelating Phospholipid Assemblies
09:38

Fabrication Procedures and Birefringence Measurements for Designing Magnetically Responsive Lanthanide Ion Chelating Phospholipid Assemblies

Published on: January 3, 2018

7.5K
A Magnetic Tether System to Investigate Visual and Olfactory Mediated Flight Control in Drosophila
09:27

A Magnetic Tether System to Investigate Visual and Olfactory Mediated Flight Control in Drosophila

Published on: November 21, 2008

11.6K

Area of Science:

  • Nonlinear Dynamics and Chaos Theory
  • Complex Systems Analysis
  • Engineering Applications in Circuits and Chemical Processes

Background:

  • Nonlinear dynamical systems exhibit complex chaotic manifolds with unique geometric and physical properties.
  • System attractors possess characteristics like granularity, orientation, and spatiotemporal distribution.
  • Polarity balance is a critical factor influencing system solutions, including symmetrization, attractor merging, and self-reproduction.

Purpose of the Study:

  • To investigate the role of polarity balance in controlling attractor distribution within nonlinear dynamical systems.
  • To explore how absolute value and signum functions regulate polarity balance for attractor management.
  • To understand the mechanism of attractor self-reproducing for constructing multistability.

Main Methods:

  • Utilizing absolute value and signum functions to manage and control polarity balance.
  • Investigating the switching dynamics of polarity balances to regulate attractor distribution.
  • Analyzing the conditions and mechanisms for attractor self-reproducing and offset boosting.

Main Results:

  • Demonstrated that polarity balance, regulated by specific functions, strictly controls attractor distribution.
  • Identified attractor self-reproducing as a key regime for achieving desired multistability.
  • Showcased the necessity of polarity controllers for restoring imbalanced polarity in attractor offset boosting.

Conclusions:

  • Polarity balance is fundamental for the behavior and control of nonlinear dynamical systems.
  • Attractor self-reproducing offers a viable pathway for engineering multistable systems.
  • Effective polarity control is essential for manipulating attractor properties and achieving desired system outcomes.