Stability of synchronized and clustered states in coupled piecewise linear maps

• Published in: Нелінійні коливання
• Date: 2004
• Main Author: Matskiv, I.V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/177006
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Stability of synchronized and clustered states in coupled piecewise linear maps / I.V. Matskiv // Нелінійні коливання. — 2004. — Т. 7, № 2. — С. 217-228. — Бібліогр.: 20 назв. — англ.

Parameter regions for different types of stability of synchronized and clustered states are obtained for
 two interacting ensembles of globally coupled one-dimensional piecewise linear maps. We analyze strong
 (asymptotic) and weak (Milnor) stability of the synchronized state, as wel...