Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Sergey V. Astakhov"'
Publikováno v:
Известия Саратовского университета. Новая серия Серия: Физика, Vol 21, Iss 1, Pp 21-28 (2021)
Background and Objectives: Studying the dynamical mechanisms of the emergence of nonlinear phenomena that are characteristic for multimode self-oscillating systems consisting of interacting oscillators and an ensemble of passive oscillators or repres
Publikováno v:
Chaos: An Interdisciplinary Journal of Nonlinear Science. 31:083108
In this work, we present a model of an autonomous three-mode ring generator based on the van der Pol oscillator, where periodic, two-frequency quasiperiodic, three-frequency quasiperiodic, and chaotic self-oscillations are observed. The transitions t
Publikováno v:
Chaos, Solitons & Fractals. 148:110978
In this paper, we consider a self-oscillating ring system consisting of a nonlinear amplifier and a chain of three linear oscillators. The equations for this system are derived and the results of numerical simulations are presented. The inherent regi
Publikováno v:
2018 2nd School on Dynamics of Complex Networks and their Application in Intellectual Robotics (DCNAIR).
In this work we consider a model of three-mode van der Pol generator with an external harmonic force. We show that in the case of existence of two limit cycles in the phase space of the system, a two-tongue structure is formed in the plane of paramet
Publikováno v:
2018 2nd School on Dynamics of Complex Networks and their Application in Intellectual Robotics (DCNAIR).
This paper is dedicated to the study of the forced synchronization in van der Pol oscillator with an additional oscillatory circuit. The external signal is $A~{\mathrm {cos}}~\omega t$ whose frequency is close to the natural frequency of the oscillat
Publikováno v:
Physics-Uspekhi. 56:955-972
Theoretical results concerning the Poincare recurrence problem and their application to problems in nonlinear physics are reviewed. The effects of noise, nonhyperbolicity, and the size of the recurrence region on the characteristics of the recurrence
Autor:
Yaroslav I. Boev, Nadezhda Igorevna Biryukova, Sergey V. Astakhov, Galina I. Strelkova, Vadim Semenovich Anishchenko
Publikováno v:
Izvestiya of Saratov University. New series. Series: Physics. 13:5-15
Publikováno v:
Uspekhi Fizicheskih Nauk. 183:1009-1028
Publikováno v:
Physics Letters A. 376:3620-3624
The relation between Lyapunov exponents, the Kolmogorov–Sinai entropy (KS-entropy) and the Afraimovich–Pesin dimension (AP-dimension) has been numerically analyzed in one- and two-dimensional chaotic maps. In our simulations we show that without
Publikováno v:
Chaos (Woodbury, N.Y.). 26(2)
A system of two asymmetrically coupled van der Pol oscillators has been studied. We show that the introduction of a small asymmetry in coupling leads to the appearance of a "wideband synchronization channel" in the bifurcational structure of the para