Stochastic Volatility in the Dynamics of Complex Homeostatic Systems

Academician of the RAS V. B. Betelin^a, V. M. Eskov^b, V. A. Galkin^a^,^b^,*, and T. V. Gavrilenko^a^,^b^,**
Translated by I. Ruzanova

^aScientific Research Institute for System Studies, Federal Research Center, Russian Academy of Sciences, Moscow, 117218 Russia

^bSurgut State University, Surgut, Khanty-Mansi Autonomous Okrug (Yugra), Tyumen oblast, 628415 Russia

Correspondence to: * e-mail: val-gal@yandex.ru
Correspondence to: ** e-mail: taras.gavrilenko@gmail.com

Received 18 October, 2016

Abstract—A description of complex biological systems based on simulating the dynamics of chaotic systems is proposed. For homeostatic biosystems, we define the concept of a quasi-attractor, inside which the state vector moves chaotically. Methods for quantitative description of the chaotic dynamics of complex systems are proposed.

DOI: 10.1134/S1064562417010240