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


For citation:

Seliverstova E. S. On the question of two self-exciting oscillation models in non-physical systems. Izvestiya VUZ. Applied Nonlinear Dynamics, 2013, vol. 21, iss. 3, pp. 112-118. DOI: 10.18500/0869-6632-2013-21-3-112-118

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):
(downloads: 130)
Language: 
Russian
Article type: 
Article
UDC: 
536.75

On the question of two self-exciting oscillation models in non-physical systems

Autors: 
Seliverstova Ekaterina Sergeevna, Saratov State University
Abstract: 

In this article Wilson-Cowan model for interactions of excitatory and inhibitory neurons and model of currency oscillations on a Forex market were considered.

Reference: 
  1. Rabinovich MI, Friston KJ, Varona P. Principles of Brain Dynamics. Global State interactions. London: MIT Press; 2012. 344 p.
  2. Wilson HR, Cowan JD. Excitatory and inhibitory interactions in localized populations of model neurons. Biophys. J. 1972;12(1):1–24. DOI: 10.1016/S0006-3495(72)86068-5.
  3. Osovets SM, Ginzburg DA. et al. Electrical activity of the brain: Mechanisms and interpretation. Phys. Usp. 1983;26(9):801–828. DOI: 10.3367/UFNr.0141.198309c.0103.
  4. Blaquiere A. Nonlinear system analysis. Moscow: Mir; 1969. 400 p. (In Russian).
  5. Great Soviet Encyclopedia: 30 volumes. Moscow: Sovetskaya enciklopediya; 1969–1978. (In Russian).
  6. Tsarev IS. Physical and mathematical analogies in economics. Moscow: CPP; 2005. 215 p. (In Russian).
  7. Finance. Dictionary. Moscow: INFRA-M, Ves’ mir; 2000. 493 p. (In Russian).
  8. Litovskih AM. Financial Risk Management. Financial Management: Lecture Package. Taganrog: TRTU; 1999. 76 p. (In Russian).
  9. Andronov AA, Witt AA, Haikin SE. Vibration theory. Мoscow: Fizmatlit; 1959. 915 p. (In Russian).
Received: 
29.04.2013
Accepted: 
29.04.2013
Published: 
31.10.2013
Short text (in English):
(downloads: 87)