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

Cyclic Processes And Isolated Systems01:19

Cyclic Processes And Isolated Systems

2.9K
A thermodynamic system with zero heat exchange and work is an isolated system. For these systems, the internal energy remains constant.
In the case of a non-isolated system, the change in the internal energy is zero only if the process is cyclic. A thermodynamic process is considered cyclic if the system undergoes a series of changes and returns to its initial state. 
Consider a cyclic process that returns to its initial state, undergoing a four-step process. The heat transfer along each...
2.9K
Sequence Networks of Rotating Machines01:24

Sequence Networks of Rotating Machines

140
A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
140
Simplified Synchronous Machine Model01:30

Simplified Synchronous Machine Model

328
The Synchronous Machine Model is a fundamental tool in analyzing and ensuring the transient stability of power systems. This model simplifies the representation of a synchronous machine under balanced three-phase positive-sequence conditions, assuming constant excitation and ignoring losses and saturation. The model is pivotal for understanding the behavior of synchronous generators connected to a power grid, particularly during transient events.
In this model, each generator is connected to a...
328
Multimachine Stability01:25

Multimachine Stability

227
Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
227
Transmission-Line Differential Equations01:26

Transmission-Line Differential Equations

400
Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured...
400
The Swing Equation01:21

The Swing Equation

646
The Swing Equation is a fundamental tool in power system dynamics, especially for analyzing the behavior of generating units like three-phase synchronous generators. This equation emerges from applying Newton's second law to the rotor of a generator, encompassing factors such as inertia, angular acceleration, and the interplay between mechanical and electrical torques.
In a steady-state operation, the mechanical torque (Τm) supplied to the generator is balanced by the electrical torque...
646

You might also read

Related Articles

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

Sort by
Same author

Confirming universality of the fractal dimension of incipient percolation cluster for complex neighborhoods.

Scientific reports·2025
Same author

Heider Balance-A Continuous Dynamics.

Entropy (Basel, Switzerland)·2025
Same author

Top rank statistics for Brownian reshuffling.

Physical review. E·2025
Same author

Partition Function Zeros of Paths and Normalization Zeros of ASEPS.

Entropy (Basel, Switzerland)·2025
Same author

Yang-Lee zeros for real-space condensation.

Physical review. E·2025
Same author

Heider balance on Archimedean lattices and cliques.

Physical review. E·2025

Related Experiment Video

Updated: Sep 8, 2025

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
10:44

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

Published on: December 7, 2021

2.3K

Perfect cycles in the synchronous Heider dynamics in complete network.

Zdzislaw Burda1, Malgorzata J Krawczyk1, Krzysztof Kułakowski1

  • 1AGH University of Science and Technology, Faculty of Physics and Applied Computer Science, al. Mickiewicza 30, 30-059 Kraków, Poland.

Physical Review. E
|June 16, 2022
PubMed
Summary

This study introduces "perfect" limit cycles in a cellular automaton model for Heider balance. These cycles exhibit unique symmetries and constant Hamming distances between states, revealing underlying network and energy function symmetries.

More Related Videos

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

4.7K
Author Spotlight: Unlocking New Insights in fNIRS Studies - A Novel Framework for Inter-Brain Synchrony Analysis
05:59

Author Spotlight: Unlocking New Insights in fNIRS Studies - A Novel Framework for Inter-Brain Synchrony Analysis

Published on: October 6, 2023

2.7K

Related Experiment Videos

Last Updated: Sep 8, 2025

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
10:44

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

Published on: December 7, 2021

2.3K
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

4.7K
Author Spotlight: Unlocking New Insights in fNIRS Studies - A Novel Framework for Inter-Brain Synchrony Analysis
05:59

Author Spotlight: Unlocking New Insights in fNIRS Studies - A Novel Framework for Inter-Brain Synchrony Analysis

Published on: October 6, 2023

2.7K

Area of Science:

  • Computational Social Science
  • Network Science
  • Complex Systems

Background:

  • Heider balance theory describes social balance in triads.
  • Cellular automata provide a framework for simulating complex system dynamics.
  • Understanding attractors in dynamical systems is crucial for predicting long-term behavior.

Purpose of the Study:

  • To investigate a cellular automaton model for achieving Heider balance in fully connected networks.
  • To identify and characterize a specific class of limit cycles, termed 'perfect' limit cycles.
  • To explore the symmetry properties of these perfect limit cycles and their connection to network structure.

Main Methods:

  • Development of a deterministic, synchronous, global update rule for the cellular automaton.
  • Analysis of the attractor spectrum, focusing on fixed points and limit cycles.
  • Characterization of 'perfect' limit cycles based on energy spectrum preservation and Hamming distance properties.
  • Investigation of symmetries in perfect cycle trajectories related to network and energy function symmetries.

Main Results:

  • The cellular automaton exhibits a rich spectrum of attractors, including fixed points and limit cycles, whose properties vary with system size.
  • A novel class of 'perfect' limit cycles was identified, characterized by constant Hamming distances between consecutive states and across k-step separations.
  • Perfect limit cycles display high symmetry in the configuration space.
  • The observed symmetries are linked to the permutation symmetry of network vertices and local symmetries in the energy function.

Conclusions:

  • The study reveals that perfect limit cycles represent a highly symmetric and structured form of dynamics in the Heider balance model.
  • The findings suggest a deep connection between the topological symmetries of the network and the emergent dynamical behaviors.
  • The identified perfect limit cycles offer insights into the fundamental principles governing balance and frustration in social networks.