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Related Experiment Video

Updated: May 31, 2026

Microparticle Manipulation by Standing Surface Acoustic Waves with Dual-frequency Excitations

Microparticle Manipulation by Standing Surface Acoustic Waves with Dual-frequency Excitations

Published on: August 21, 2018

Projective synchronization of two coupled excitable spiral waves.

Haichun Nie¹, Lingling Xie, Jihua Gao

¹Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China.

Chaos (Woodbury, N.Y.)

|July 5, 2011

Summary

Two identical spiral waves in coupled systems can synchronize. A novel weak synchronization, called projective synchronization, occurs where wave shapes match but amplitudes differ, preceding full synchronization.

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Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Area of Science:

Nonlinear dynamics
Complex systems

Background:

Spiral waves are dynamic patterns in excitable media.
Synchronization phenomena are crucial in coupled nonlinear systems.

Purpose of the Study:

To investigate the interaction and synchronization of two identical spiral waves in a bilayer system.
To identify and characterize novel synchronization behaviors.

Main Methods:

Numerical simulations of a bilayer excitable system.
Analysis of spiral wave dynamics and synchronization criteria.
Study of pulse collision in one-dimensional systems to understand mechanisms.

Main Results:

Complete synchronization of spiral waves is achieved with sufficient coupling strength.
A new type of weak synchronization, termed projective synchronization, is observed.
Projective synchronization exhibits identical spiral wave geometric shapes with different amplitudes.

Conclusions:

The study reveals projective synchronization as a precursor to complete synchronization in coupled spiral waves.
The findings extend the understanding of synchronization in complex systems, drawing parallels with nonlinear oscillators.
Pulse collision dynamics provide insights into the underlying mechanisms of observed synchronization patterns.