Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Search research articles

Related Experiment Video

Updated: Aug 27, 2025

Author Spotlight: Alignment of Synchronized Time-Series Data Using the Characterizing Loss of Cell Cycle Synchrony Model for Cross-Experiment Comparisons

Author Spotlight: Alignment of Synchronized Time-Series Data Using the Characterizing Loss of Cell Cycle Synchrony Model for Cross-Experiment Comparisons

Published on: June 9, 2023

Synchronization in a multilevel network using the Hamilton-Jacobi-Bellman (HJB) technique.

Thierry Njougouo¹, Victor Camargo², Patrick Louodop¹

¹Research Unit Condensed Matter, Electronics and Signal Processing, University of Dschang, P.O. Box 67, Dschang, Cameroon.

Chaos (Woodbury, N.Y.)

|October 1, 2022

Summary

Related Concept Videos

Multimachine Stability

Multimachine Stability

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:

Transmission-Line Differential Equations

Transmission-Line Differential Equations

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...

Linear time-invariant Systems

Linear time-invariant Systems

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...

Network Function of a Circuit

Network Function of a Circuit

Frequency response analysis in electrical circuits provides vital insights into a circuit's behavior as the frequency of the input signal changes. The transfer function, a mathematical tool, is instrumental in understanding this behavior. It defines the relationship between phasor output and input and comes in four types: voltage gain, current gain, transfer impedance, and transfer admittance. The critical components of the transfer function are the poles and zeros.

Sequence Networks of Rotating Machines

Sequence Networks of Rotating Machines

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...

Simplified Synchronous Machine Model

Simplified Synchronous Machine Model

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...

You might also read

Related Articles

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

Sort by

Same author

Mobile oscillators in a mobile multi-cluster network.

Chaos (Woodbury, N.Y.)·2025

Same author

Intermittent-like synchronization and desynchronization phenomena in a Colpitts network model.

Chaos (Woodbury, N.Y.)·2024

Same author

Parameter and coupling estimation in small networks of Izhikevich's neurons.

Chaos (Woodbury, N.Y.)·2023

Same author

Synchronization and bifurcation in an economic model.

Chaos (Woodbury, N.Y.)·2022

Same author

Optimization of Thumb Prosthesis Design by Using Five Performance Criteria.

Applied bionics and biomechanics·2022

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

Same journal

Data-driven soliton manifold approximations for dark and bright waves: Some prototypical 1D case examples.

Chaos (Woodbury, N.Y.)·2026

Same journal

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

Chaos (Woodbury, N.Y.)·2026

See all related articles

This summary is machine-generated.

This study introduces optimal control for synchronizing Rössler chaotic oscillators in multilevel networks. The Hamilton-Jacobi-Bellman method ensures network synchronization, validated by simulations and experimental results.

Area of Science:

Nonlinear Dynamics and Control Systems
Chaos Theory Applications
Networked Systems Synchronization

Background:

Rössler chaotic oscillators are fundamental in studying complex dynamical systems.
Synchronization in coupled chaotic oscillators is crucial for secure communication and signal processing.
Multilevel network structures present unique challenges for control and synchronization.

Purpose of the Study:

To design an optimal control strategy for synchronizing a multilevel network of Rössler chaotic oscillators.
To ensure optimal synchronization of trajectories across all levels of the network.
To validate the proposed control approach through numerical simulations and experimental correlation.

Main Methods:

Application of the Hamilton-Jacobi-Bellman (HJB) technique for optimal control design.

More Related Videos

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Studying Cell Cycle-regulated Gene Expression by Two Complementary Cell Synchronization Protocols

Studying Cell Cycle-regulated Gene Expression by Two Complementary Cell Synchronization Protocols

Published on: June 6, 2017

Related Experiment Videos

Last Updated: Aug 27, 2025

Author Spotlight: Alignment of Synchronized Time-Series Data Using the Characterizing Loss of Cell Cycle Synchrony Model for Cross-Experiment Comparisons

Author Spotlight: Alignment of Synchronized Time-Series Data Using the Characterizing Loss of Cell Cycle Synchrony Model for Cross-Experiment Comparisons

Published on: June 9, 2023

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Studying Cell Cycle-regulated Gene Expression by Two Complementary Cell Synchronization Protocols

Studying Cell Cycle-regulated Gene Expression by Two Complementary Cell Synchronization Protocols

Published on: June 6, 2017

Development of a three-state variable feedback control law.

Numerical simulations using MATLAB and circuit simulations using PSpice for validation.

Main Results:

An optimal control law was successfully designed for multilevel Rössler chaotic oscillator networks.
The proposed method achieved optimal synchronization of oscillator trajectories at each network level.
Simulations demonstrated the effectiveness for single and triple network cases, with high correlation between MATLAB and PSpice results.

Conclusions:

The Hamilton-Jacobi-Bellman technique provides an effective framework for optimal control and synchronization of chaotic oscillator networks.
The designed controller is experimentally validated, confirming the theoretical findings.
This work contributes to the advancement of synchronized chaotic systems and their practical applications.