Synchronization of linearly coupled networks of deterministic ratchets

Pingli Lu*, Ying Yang, Lin Huang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

This Letter focuses on the synchronization in a class of dynamical complex networks with each node being a deterministic ratchet. In virtue of the technique derived from pendulum-like nonlinear analytic theory and Kalman-Yakubovich-Popov (KYP) lemma, simple linear matrix inequality (LMI) formulations are established to guarantee the stable synchronization of such networks. An interesting conclusion is reached that the stability of synchronization in the coupled whole N-dimensional networks can be converted into that of the simplest 2-dimensional space.

Original languageEnglish
Pages (from-to)3978-3985
Number of pages8
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume372
Issue number22
DOIs
Publication statusPublished - 26 May 2008
Externally publishedYes

Keywords

  • Deterministic ratchets
  • Dynamical complex networks
  • Linear matrix inequality
  • Pendulum-like system
  • Synchronization

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