ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Sergeev O. S. Bistable system with external dynamical influence. Izvestiya VUZ. Applied Nonlinear Dynamics, 2000, vol. 8, iss. 5, pp. 48-56. DOI: 10.18500/0869-6632-2000-8-5-48-56

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(Ru):
PDF icon 2000no5p048.pdf
(downloads: 0)
Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
621.391.01
DOI: 
10.18500/0869-6632-2000-8-5-48-56

Bistable system with external dynamical influence

Autors: 
Sergeev Oleg Sergeevich, Lobachevsky State University of Nizhny Novgorod
Abstract: 

In this paper we have studied the influence of additive periodical and dynamical chaos perturbation on the location of the bifurcation boundary which separates mono— and bistable regimes in bistable one—dimensional dynamical system with cubic nonlinearity.

Key words: 
-
Acknowledgments: 
The work was supported by the RFBR (grant RFBR 99-02-17742, 15-00-96582).
Reference: 
  1. Lontryagin LS, Andronov AA, Vitt AA. On the statistical review of dynamical systems. J. Exp. Theor. Phys. 1933;3(3):165. (in Russian).
  2. Malakhov AN. Cumulative analysis of random non-Gaussian processes and their transformations. М.: Sovetskoye radio; 1978. 376 p. (in Russian).
  3. Bochkov GN, Tsvetov MA, Shalfeev VD. Study of statistical properties of the PLL system by the cumulative method. In: Neimark YuI, editor. Dynamics of Systems. Phase Synchronization. Gorky: Gorky University Publishing; 1976. P. 68-75. (in Russian).
  4. Sergeev OS. About changing modes in a bistable system with noise.  Vestnik of Lobachevsky University of Nizhni Novgorod Series Radiophysics. 1998;1:151-154. (in Russian).
  5. Kamke E. Differentialgleichungen. Losungsmethoden und Losungen. Leipzig: Akademische Verlagsgesellschaft;1959. 244 p. (in German).
  6. Yakubovitch VA, Starzhinskii VM. Linear differential equations with periodic coefficients and their applications. М.: Nauka; 1985. 718 p.
  7. Andronov AA, Vitt AA, Haikin SE. Theory of oscillations. М.: Nauka; 1981. 914 p.
  8. Madan RN, editor. Chua’s circuit: A Paradigm for Chaos. Singapore: World Scientific; 1993. 1088 p.
Received: 
17.10.2000
Accepted: 
21.11.2000
Published: 
07.02.2001
  • 233 reads