APPLICATION OF MELNIKOVS METHOD FOR ESTIMATING THE EFFICACY OF EXTERNAL SIGNALS ON COMPLEX NONLINEAR-SYSTEMS WITH STRANGE ATTRACTORS

Authors
AFANASEV VV POLSKII YE CHERNYAVSKII VS
Citation
Vv. Afanasev et al., APPLICATION OF MELNIKOVS METHOD FOR ESTIMATING THE EFFICACY OF EXTERNAL SIGNALS ON COMPLEX NONLINEAR-SYSTEMS WITH STRANGE ATTRACTORS, Technical physics letters, 23(12), 1997, pp. 917-919
Citations number
5
Journal title
Technical physics letters → ACNP
ISSN journal
10637850
Volume
23
Issue
12
Year of publication
1997
Pages
917 - 919
Database
ISI
SICI code
1063-7850(1997)23:12<917:AOMMFE>2.0.ZU;2-U
Abstract
Mel'nikov's method is used as a criterion for determining the conditio n for the onset of stochastization in nonlinear dynamical systems with strange attractors. Analytical conditions for the onset of stochastiz ation in Duffing systems and Lorenz systems are obtained, from which o ne can synthesize a control signal ensuring the required behavior of t he system. A mathematical experiment is carried out which confirms the correctness of the theoretical analysis. (C) 1997 American Institute of Physics. [S1063-7850(97)00812-4].