350 rub
Journal Nonlinear World №1 for 2014 г.
Article in number:
Frequency aliasing effect in numerical models of self-oscillations systems
Keywords: nonlinear dynamics numerical algorithms self-oscillations synchronization
Authors:
V.V. Zaitsev - Ph.D. (Phys.-Math.), Professor, Department of Radio Physics and Simulation of Radiosystems, Samara State University. E-mail: zaitsev@ssu.samara.ru
А.V. Karlov (jr.) - Ph.D. (Phys.-Math.), Assistant, Department of Radio Physics and Simulation of Radiosystems, Samara State University. E-mail: A.V.Karlov@gmail.com
Аr.V. Karlov - Post-graduate Student, Department of Radio Physics and Simulation of Radiosystems, Samara State University. E-mail: Ar.Karlov@gmail.com
Abstract:
The influence of violations of the conditions of Theorem Sampling on results of the numerical integration of the equations of motion of nonlinear dynamical systems is demonstrated by the example of modeling of self-oscillations in the Van der Pol oscillator. It is shown that the phenomenon of frequency locking is found in the numerical solution for autonomous self-oscillating system.
Pages: 51-53
References

  1. Loskutov A.Ju., Mixajlov A.S. Osnovy' teorii slozhny'x sistem. M. - Izhevsk: NIC «RXD», Institut komp'yuterny'x issledovanij. 2007. 620 s.
  2. Oppengejm A., Shafer B. Cifrovaya obrabotka signalov. M.: Texnosfera. 2006. 856 s.
  3. Bogolyubov N.N., Mitropol'skij Ju.A. Asimptoticheskie metody' v teorii nelinejny'x kolebanij. M.: Nauka. 1974. 504 s.
  4. Anishhenko V.S., Vadivasova T.E. Lekczii po nelinejnoj dinamike. M. - Izhevsk: NIC «RXD». 2011. 516 s.
  5. Zajczev V.V., Zajczev O.V., Nikulin A.V. Issledovanie e'ffekta samosinxronizaczii diskretnogo osczillyatora Van der Polya // Tezisy' dokl. II Mezhdunar. NTK «Fizika i texnicheskie prilozheniya volnovy'x proczessov». Samara. 2003. S. 114-115.