Repository logo

Infoscience

  • English
  • French
Log In
Logo EPFL, École polytechnique fédérale de Lausanne

Infoscience

  • English
  • French
Log In
  1. Home
  2. Academic and Research Output
  3. Journal articles
  4. Hierarchy and stability of partially synchronous oscillations of diffusively coupled dynamical systems
 
research article

Hierarchy and stability of partially synchronous oscillations of diffusively coupled dynamical systems

Belykh, I.  
•
Belykh, V.
•
Hasler, M.  
2000
Physical Review E

The paper presents a qualitative analysis of an array of diffusively coupled identical continuous time dynamical systems.The effects of full, partial, anti-phase and in-phase-anti-phase chaotic synchronization are investigated via the linear invariant manifolds of the corresponding differential equations. Existence of various invariant manifolds, a self-similar behavior, a hierarchy and embedding of the manifolds of the coupled system are discovered. Sufficient conditions for the stability of the invariant manifolds are obtained via the method of Lyapunov functions. Conditions under which full global synchronization can not be achieved even for the largest coupling constant are defined. The general rigorous results are illustrated through examples of coupled Lorenz-like and coupled Rössler systems.

  • Files
  • Details
  • Metrics
Loading...
Thumbnail Image
Name

phys-rev.pdf

Access type

openaccess

Size

324.97 KB

Format

Adobe PDF

Checksum (MD5)

c1ba3b5aa2ab41cb78a3db1228dd95de

Logo EPFL, École polytechnique fédérale de Lausanne
  • Contact
  • infoscience@epfl.ch

  • Follow us on Facebook
  • Follow us on Instagram
  • Follow us on LinkedIn
  • Follow us on X
  • Follow us on Youtube
AccessibilityLegal noticePrivacy policyCookie settingsEnd User AgreementGet helpFeedback

Infoscience is a service managed and provided by the Library and IT Services of EPFL. © EPFL, tous droits réservés