Advances made by Belgrade's group in research of oscillatory reactions
Doprinosi Beogradske grupe izučavanju oscilatornih reakcija
Apstrakt
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.
Ključne reči:
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 determinacijaIzvor:
Journal of Serbian Society for Computational Mechanics, 2016, 10, 1, 151-167Izdavač:
- Srpsko društvo za računsku mehaniku, Kragujevac
Finansiranje / projekti:
- Dinamika nelinearnih fizičkohemijskih i biohemijskih sistema sa modeliranjem i predviđanjem njihovih ponašanja pod neravnotežnim uslovima (RS-172015)
- Nanostrukturni funkcionalni i kompozitni materijali u katalitičkim i sorpcionim procesima (RS-45001)
DOI: 10.5937/jsscm1601151K
ISSN: 1820-6530
WoS: 000408046100010
Scopus: 2-s2.0-85010399605
Institucija/grupa
IHTMTY - JOUR AU - Kolar-Anić, Ljiljana AU - Čupić, Željko AU - Anić, Slobodan PY - 2016 UR - https://cer.ihtm.bg.ac.rs/handle/123456789/1990 AB - 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. AB - 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 analitičke primene oscilatornih reakcija. PB - Srpsko društvo za računsku mehaniku, Kragujevac T2 - Journal of Serbian Society for Computational Mechanics T1 - Advances made by Belgrade's group in research of oscillatory reactions T1 - Doprinosi Beogradske grupe izučavanju oscilatornih reakcija VL - 10 IS - 1 SP - 151 EP - 167 DO - 10.5937/jsscm1601151K ER -
@article{ author = "Kolar-Anić, Ljiljana and Čupić, Željko and Anić, Slobodan", year = "2016", 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 analitičke primene oscilatornih reakcija.", publisher = "Srpsko društvo za računsku mehaniku, Kragujevac", journal = "Journal of Serbian Society for Computational Mechanics", title = "Advances made by Belgrade's group in research of oscillatory reactions, Doprinosi Beogradske grupe izučavanju oscilatornih reakcija", volume = "10", number = "1", pages = "151-167", doi = "10.5937/jsscm1601151K" }
Kolar-Anić, L., Čupić, Ž.,& Anić, S.. (2016). Advances made by Belgrade's group in research of oscillatory reactions. in Journal of Serbian Society for Computational Mechanics Srpsko društvo za računsku mehaniku, Kragujevac., 10(1), 151-167. https://doi.org/10.5937/jsscm1601151K
Kolar-Anić L, Čupić Ž, Anić S. Advances made by Belgrade's group in research of oscillatory reactions. in Journal of Serbian Society for Computational Mechanics. 2016;10(1):151-167. doi:10.5937/jsscm1601151K .
Kolar-Anić, Ljiljana, Čupić, Željko, Anić, Slobodan, "Advances made by Belgrade's group in research of oscillatory reactions" in Journal of Serbian Society for Computational Mechanics, 10, no. 1 (2016):151-167, https://doi.org/10.5937/jsscm1601151K . .