Abstract
Based on the Hamiltonian approach to an analysis of the system of Monod equations describing the chemostat dynamics, their partial analytical solution is found for a certain class of initial conditions. It is shown that this class of initial conditions can be easily realised in microbiological practice, and the solution obtained is generally described by the attractor of the system trajectories. A methodical approach, which allows the given Hamiltonian formalism to be used to analyze The kinetics of growth of microorganisms in the chemostat, is developed and experimentally checked.
| Original language | English |
|---|---|
| Pages (from-to) | 568-575 |
| Number of pages | 8 |
| Journal | Russian Physics Journal |
| Volume | 43 |
| Issue number | 7 |
| Publication status | Published - 2000 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Hamiltonian approach to the dynamics of a chemostat. / Evdokimov, E. V.; Pecherkin, M. P.; Shapovalov, A. V.
In: Russian Physics Journal, Vol. 43, No. 7, 2000, p. 568-575.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Hamiltonian approach to the dynamics of a chemostat
AU - Evdokimov, E. V.
AU - Pecherkin, M. P.
AU - Shapovalov, A. V.
PY - 2000
Y1 - 2000
N2 - Based on the Hamiltonian approach to an analysis of the system of Monod equations describing the chemostat dynamics, their partial analytical solution is found for a certain class of initial conditions. It is shown that this class of initial conditions can be easily realised in microbiological practice, and the solution obtained is generally described by the attractor of the system trajectories. A methodical approach, which allows the given Hamiltonian formalism to be used to analyze The kinetics of growth of microorganisms in the chemostat, is developed and experimentally checked.
AB - Based on the Hamiltonian approach to an analysis of the system of Monod equations describing the chemostat dynamics, their partial analytical solution is found for a certain class of initial conditions. It is shown that this class of initial conditions can be easily realised in microbiological practice, and the solution obtained is generally described by the attractor of the system trajectories. A methodical approach, which allows the given Hamiltonian formalism to be used to analyze The kinetics of growth of microorganisms in the chemostat, is developed and experimentally checked.
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UR - http://www.scopus.com/inward/citedby.url?scp=52849130057&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:52849130057
VL - 43
SP - 568
EP - 575
JO - Russian Physics Journal
JF - Russian Physics Journal
SN - 1064-8887
IS - 7
ER -