This article is cited in 2 papers

Stability of Systems

Statistical description of the limiting set for chaotic motions of the vibro-impact system

S. P. Gorbikov, A. V. Men'shenina

Nizhny Novgorod State University of Architecture and Civil Engineering

Abstract: A numerical investigation of statistical properties of chaotic motions that occur in one vibro-impact system as a result of the bifurcation connected with the arrival of the periodic motion at the boundary of infinite-impact motion domain. The results of numerical computations prove the existence of a peculiar set which is limiting for chaotic motions occurred after the bifurcation. According to the numerical investigations, “the ensemble average coincides with the time average” in the neighborhood of the limiting set, i.e., it is sufficient to track only one path in solving optimization problems in such a system.

PACS: 02.30.Oz, 47.20.Ky

Presented by the member of Editorial Board: A. I. Kibzun

Received: 14.12.2006

 English version: Automation and Remote Control, 2007, 68:10, 1794–1800

Bibliographic databases:

• 
• 
•