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


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Ryashko L. B., Smirnov A. V. Deterministic and stochastic stability analysis for glycolitic oscillator. Izvestiya VUZ. Applied Nonlinear Dynamics, 2005, vol. 13, iss. 6, pp. 99-112. DOI: 10.18500/0869-6632-2005-13-5-99-112

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language: 
Russian
Article type: 
Article
UDC: 
531.36

Deterministic and stochastic stability analysis for glycolitic oscillator

Autors: 
Ryashko Lev Borisovich, Ural Federal University named after the first President of Russia B.N.Yeltsin
Smirnov Aleksej Valerevich, Ural Federal University named after the first President of Russia B.N.Yeltsin
Abstract: 

The methods of sensitivity analysis of cycles under deterministic and stochastic disturbances for Higgins model describing glycolytic self-oscillations are considered. Two approaches connected with local exponents and stochastic sensitivity function are compared. The most sensitive parts of cycles are discovered. It was found that some parts of cycle lose stochastic stability along with stability increasing of cycle as whole.

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Reference: 
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Received: 
01.11.2003
Accepted: 
03.11.2004
Published: 
28.02.2006
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