Stability Theory of Synchronized Motion in Coupled-Oscillator Systems

Clicks: 15
ID: 294883
1983
Free PDF
Article Quality & Performance Metrics
Overall Quality
Not rated
Combines reader engagement with the AI quality analysis. This article has not been analysed, so there is no overall score — reader engagement is measured and shown alongside.
AI Quality Assessment
Not analyzed
Readership in this journal
Emerging

Ranked #9 of 28 articles by views in progress of theoretical physics

Most read Least read

Bar heights use a square-root scale.

Mint this article as an NFT
Not yet minted

Create a permanent, verifiable on-chain record of this article on the Scimatic Network. The NFT is held in your Journament account, and you can withdraw it to your own wallet at any time.

5 SUSD one-off · no wallet required
Sign in to mint
Abstract
The general stability theory of the synchronized motions of the coupled-oscillator systems is developed with the use of the extended Lyapunov matrix approach. We give the explicit formula for a stability parameter of the synchronized state Ψunif. When the coupling strength is weakened, the coupled system may exhibit several types of non-synchronized motion. In particular, if Ψunif is chaotic, we always get a transition from chaotic Ψunif to a certain non-uniform state and finally the non-uniform chaos. Details associated with such transition are investigated for the coupled Lorenz model. As an application of the theory, we propose a new experimental method to directly measure the positive Lyapunov exponent of intrinsic chaos in reaction systems.
Reference Key
openalex_W2093627340 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Hirokazu Fujisaka, Tomonori Yamada
Journal progress of theoretical physics
Year 1983
DOI
10.1143/ptp.69.32
URL
https://academic.oup.com/ptp/article-pdf/69/1/32/5195059/69-1-32.pdf
Keywords Keywords not found

Citations

No citations found. To add a citation, contact the admin at info@scimatic.org

Comments

No comments yet. Be the first to comment on this article.