Origination of the Singular Continuous Spectrum in the Conflict Dynamical Systems

• Date: 2009
• Main Authors: Karataieva, T., Koshmanenko, V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/5703
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Origination of the singular continuous spectrum in the conflict dynamical systems / T. Karataieva, V. Koshmanenko // Methods of Functional Analysis and Topology. — 2009. — 15, N 1. — С. 15-30. — Бібліогр.: 25 назв. — англ.

We study the spectral properties of the limiting measures in the conflict dynamical systems modeling the alternative interaction between opponents. It has been established that typical trajectories of such systems converge to the invariant mutually singular measures. We show that "almost always...