Stability of periodic clusters in globally coupled maps

• Published in: Нелінійні коливання
• Date: 2002
• Main Authors: Panchuk, A.A., Maistrenko, Y.L.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2002
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/175837
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Stability of periodic clusters in globally coupled maps / A.A. Panchuk, Y.L. Maistrenko // Нелінійні коливання. — 2002. — Т. 5, № 3. — С. 334-345. — Бібліогр.: 15 назв. — англ.

The phenomenon of partial synchronization, — or clustering, — in a system of globally coupled C 1 - smooth maps is analyzed. We prove stability of equally populated K-clustered states with period-n temporal dynamics, referred to as PnCK-states. For this, we first obtain formulas giving relation b...