Origination of the Singular Continuous Spectrum in the Conflict Dynamical Systems

dc.contributor.author	Karataieva, T.
dc.contributor.author	Koshmanenko, V.
dc.date.accessioned	2010-02-02T13:00:43Z
dc.date.available	2010-02-02T13:00:43Z
dc.date.issued	2009
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1029-3531
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/5703
dc.description.abstract	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" the limiting measures are purely singular continuous. Besides we find the conditions under which the limiting measures belong to one of the spectral type: pure singular continuous, pure point, or pure absolutely continuous.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.title	Origination of the Singular Continuous Spectrum in the Conflict Dynamical Systems	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA