Related Experiment Video
Updated: May 24, 2025
07:33
Optogenetic Entrainment of Hippocampal Theta Oscillations in Behaving Mice
Published on: June 29, 2018
11.6K
Global Synchronization of High-Dimensional Heterogeneous Kuramoto Oscillator Networks: Pinning Impulsive Approach
IEEE Transactions on Cybernetics
|March 3, 2025
Summary
This study introduces a pinning impulsive control method to achieve global synchronization in challenging high-dimensional heterogeneous Kuramoto oscillator networks (HDHKONs). The approach successfully synchronizes networks by controlling a small fraction of oscillators, offering new criteria for success.
Area of Science:
- Complex Systems
- Nonlinear Dynamics
- Control Theory
Background:
- Achieving global synchronization in high-dimensional heterogeneous Kuramoto oscillator networks (HDHKONs) is a significant challenge.
- Existing network configurations, including Platonic and Archimedean solids, and large-scale networks, often present difficulties for synchronization.
Purpose of the Study:
- To develop a pinning impulsive control approach for HDHKONs to achieve global synchronization on the unit sphere.
- To establish synchronization criteria that are easily verifiable and illuminate parameter interactions.
Main Methods:
- A pinning impulsive control strategy is applied to a fraction of oscillators within the HDHKONs.
- Synchronization criteria are derived based on network parameters, control intensity, and frequency.
Main Results:
- The proposed method achieves global synchronization on the unit sphere for HDHKONs without initial phase constraints.
- The developed criteria effectively predict successful synchronization and reveal the influence of control parameters.
Conclusions:
- Pinning impulsive control is an effective strategy for synchronizing complex oscillator networks.
- The study provides valuable insights into controlling synchronization in large-scale and heterogeneous dynamical systems.
Related Concept Videos
01:24Sequence Networks of Rotating Machines
90
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...
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
90
01:24BIBO stability of continuous and discrete -time systems
321
System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
321
01:07Damped Oscillations
5.6K
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...
Although friction and other non-conservative...
5.6K
01:04Oscillations about an Equilibrium Position
5.3K
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...
5.3K
01:30Simplified Synchronous Machine Model
173
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...
In this model, each generator is connected to a...
173
01:06Forced Oscillations
6.5K
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.
6.5K