Mixed-mode oscillations and chaos in return maps of an oscillatory chemical reaction
Samo za registrovane korisnike
2015
Članak u časopisu (Objavljena verzija)
Metapodaci
Prikaz svih podataka o dokumentuApstrakt
The return maps, as an element of mathematical phenomenology appropriate for general examinations of complex dynamic states of the oscillatory systems were used to detect and explain the evolution of mixed-mode oscillations and chaos in a six-dimensional nonlinear reaction system of the Bray-Liebhafsky (BL) reaction, a well-studied nonlinear chemical reaction system that exhibits complex dynamic behavior. For this purpose principally different Poincar, sections were applied and different transition scenarios between periodic and aperiodic states were examined by numerical simulations. It is shown that emergence of new periodic patterns can be detected by return maps already within chaotic windows. Besides, we also show that the higher dimensionality of manifold gives the impression of having several layers of manifolds.
Ključne reči:
mathematical phenomenology / return maps / mixed-mode oscillations / chemical chaos / oscillatory reaction / non-linear dynamicsIzvor:
Russian Journal of Physical Chemistry A, 2015, 89, 13, 2349-2358Izdavač:
- Maik Nauka/Interperiodica/Springer, New York
Finansiranje / projekti:
- Dinamika nelinearnih fizičkohemijskih i biohemijskih sistema sa modeliranjem i predviđanjem njihovih ponašanja pod neravnotežnim uslovima (RS-MESTD-Basic Research (BR or ON)-172015)
- Nanostrukturni funkcionalni i kompozitni materijali u katalitičkim i sorpcionim procesima (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45001)
DOI: 10.1134/S0036024415130063
ISSN: 0036-0244
WoS: 000365031800005
Scopus: 2-s2.0-84946944654
Institucija/grupa
IHTMTY - JOUR AU - Blagojević, Stevan AU - Čupić, Željko AU - Ivanović-Šašić, Ana AU - Kolar-Anić, Ljiljana PY - 2015 UR - https://cer.ihtm.bg.ac.rs/handle/123456789/1827 AB - The return maps, as an element of mathematical phenomenology appropriate for general examinations of complex dynamic states of the oscillatory systems were used to detect and explain the evolution of mixed-mode oscillations and chaos in a six-dimensional nonlinear reaction system of the Bray-Liebhafsky (BL) reaction, a well-studied nonlinear chemical reaction system that exhibits complex dynamic behavior. For this purpose principally different Poincar, sections were applied and different transition scenarios between periodic and aperiodic states were examined by numerical simulations. It is shown that emergence of new periodic patterns can be detected by return maps already within chaotic windows. Besides, we also show that the higher dimensionality of manifold gives the impression of having several layers of manifolds. PB - Maik Nauka/Interperiodica/Springer, New York T2 - Russian Journal of Physical Chemistry A T1 - Mixed-mode oscillations and chaos in return maps of an oscillatory chemical reaction VL - 89 IS - 13 SP - 2349 EP - 2358 DO - 10.1134/S0036024415130063 ER -
@article{ author = "Blagojević, Stevan and Čupić, Željko and Ivanović-Šašić, Ana and Kolar-Anić, Ljiljana", year = "2015", abstract = "The return maps, as an element of mathematical phenomenology appropriate for general examinations of complex dynamic states of the oscillatory systems were used to detect and explain the evolution of mixed-mode oscillations and chaos in a six-dimensional nonlinear reaction system of the Bray-Liebhafsky (BL) reaction, a well-studied nonlinear chemical reaction system that exhibits complex dynamic behavior. For this purpose principally different Poincar, sections were applied and different transition scenarios between periodic and aperiodic states were examined by numerical simulations. It is shown that emergence of new periodic patterns can be detected by return maps already within chaotic windows. Besides, we also show that the higher dimensionality of manifold gives the impression of having several layers of manifolds.", publisher = "Maik Nauka/Interperiodica/Springer, New York", journal = "Russian Journal of Physical Chemistry A", title = "Mixed-mode oscillations and chaos in return maps of an oscillatory chemical reaction", volume = "89", number = "13", pages = "2349-2358", doi = "10.1134/S0036024415130063" }
Blagojević, S., Čupić, Ž., Ivanović-Šašić, A.,& Kolar-Anić, L.. (2015). Mixed-mode oscillations and chaos in return maps of an oscillatory chemical reaction. in Russian Journal of Physical Chemistry A Maik Nauka/Interperiodica/Springer, New York., 89(13), 2349-2358. https://doi.org/10.1134/S0036024415130063
Blagojević S, Čupić Ž, Ivanović-Šašić A, Kolar-Anić L. Mixed-mode oscillations and chaos in return maps of an oscillatory chemical reaction. in Russian Journal of Physical Chemistry A. 2015;89(13):2349-2358. doi:10.1134/S0036024415130063 .
Blagojević, Stevan, Čupić, Željko, Ivanović-Šašić, Ana, Kolar-Anić, Ljiljana, "Mixed-mode oscillations and chaos in return maps of an oscillatory chemical reaction" in Russian Journal of Physical Chemistry A, 89, no. 13 (2015):2349-2358, https://doi.org/10.1134/S0036024415130063 . .