Work

Origination of the Singular Continuous Spectrum in the Conflict Dynamical Systems

Year: 2009

Type: article

Abstract: Dedicated to the memory of wise Ukrainian mathematician A. Ya. Povzner 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. 1.

Source: The scientific electronic library of periodicals of the National Academy of Sciences of Ukraine (National Academy of Sciences of Ukraine)

Authors: Tatiana Karataieva, V. D. Koshmanenko

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

SDG: Peace, justice, and strong institutions

Open Access status: green

OpenAlex ID: W2102397369

FWCI: 1.099

Cites: 17

Cited by: 5

Related to: 10