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Advances made by Belgrade's group in research of oscillatory reactions

Doprinosi Beogradske grupe izučavanju oscilatornih reakcija

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Authors
Kolar-Anić, Ljiljana
Čupić, Željko
Anić, Slobodan
Article (Published version)
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Abstract
Oscillatory dynamic states as one form of selforganization of nonlinear systems can be found in almost all sciences, like mechanics, physical chemistry or biomedicine. Although origin of these oscillations is different, computational challenges in modelling oscillatory phenomena remain similar in all fields. Since 1979 researchers from Belgrade's group perform systematic examinations of oscillatory reactions. As stability of steady states is the central point in modelling oscillatory reactions, in last 10 years they have adapted and improved powerful tool of the Stoichiometric Network Analysis for this goal. Moreover, bifurcations of few types were identified in several models of oscillatory reactions. Even very complex chaotic motions in phase space were characterized and quantified by several numerical techniques. Multiple time scale behaviour is found within the core of the complex dynamic behaviour of mixed-mode oscillations. Analytical applications were developed, too.
Oscilatorna dinamička stanja, kao oblik samoorganizacije nelinearnih sistema, mogu se naći u gotovo svim naukama, kao što su mehanika, fizička hemija ili biomedicina. Iako je poreklo ovih oscilacija različito, teškoće u modeliranju oscilatornih fenomena su zajedničke na svim poljima. Od 1979. godine istraživači Beogradske grupe sistematski istražuju oscilatorne reakcije. Kako je stabilnost ustaljenih stanja ključni problem u modeliranju oscilatornih reakcija, u poslednjih 10 godina oni su za tu namenu usvojili i unapredili moćnu tehniku Analize stehiometrijskih mreža. Zatim je identifikovano više tipova bifurkacija u nekoliko modela oscilatornih reakcija. Čak su i veoma složena haotična kretanja u koncentracionom faznom prostoru okarakterisana i kvantifikovana različitim numeričkim tehnikama. Ustanovljeno je da izvor oscilacija mešanih modova i drugih uočenih složenih oblika dinamike predstavljaju procesi koji se odigravaju na različitim vremenskim skalama. Takođe su razvijene i analit...ičke primene oscilatornih reakcija.

Keywords:
oscillatory reactions / nonlinear dynamics / stoichiometric network analysis / numerical techniques for detection of periodic and aperiodic dynamic states / analytical determination / oscilatorne reakcije / nelinearna dinamika / analiza stehiometrijskih mreža / numeričke tehnike za detekciju periodičnih i aperiodičnih dinamičkih stanja / analitička determinacija
Source:
Journal of Serbian Society for Computational Mechanics, 2016, 10, 1, 151-167
Publisher:
  • Srpsko društvo za računsku mehaniku, Kragujevac
Projects:
  • Dynamics of nonlinear physicochemical and biochemical systems with modeling and predicting of their behavior under nonequilibrium conditions (RS-172015)
  • Nanostructured Functional and Composite Materials in Catalytic and Sorption Processes (RS-45001)

DOI: 10.5937/jsscm1601151K

ISSN: 1820-6530

WoS: 000408046100010

Scopus: 2-s2.0-85010399605
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URI
http://cer.ihtm.bg.ac.rs/handle/123456789/1990
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