Intermittent chaos in the Bray-Liebhafsky oscillator. Temperature dependence
Само за регистроване кориснике
2016
Аутори
Bubanja, Itana NušaMacesic, Stevan R.
Ivanović-Šašić, Ana
Čupić, Željko
Anić, Slobodan
Kolar-Anić, Ljiljana
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
Intermittent oscillations as a chaotic mixture of large amplitude relaxation oscillations, grouped in bursts and small-amplitude sinusoidal ones or even quiescent parts between them known as gaps, were found and examined in the Bray-Liebhafsky (BL) reaction performed in CSTR under controlled temperature variations. They were obtained in a narrow temperature range from 61.0 degrees C to 63.1 degrees C, where 61.0 degrees C is the critical temperature for burst emergence from the stable steady state and 63.1 degrees C is the critical temperature for gap emergence from regular oscillations. Since intermittencies appear gradually from the regular oscillatory state, and no hysteresis was obtained with decreasing/increasing temperature in the vicinity of these two bifurcations, a linear relationship between (tau(B)/tau)(2) and (tau(G)/tau)(2) (where tau(B), tau(G) and tau denotes duration of bursts, gaps, and whole experiment, respectively), as a function of the temperature as the control pa...rameter, was expected and obtained. Although these intermittent oscillations are chaotic with respect to the lengths of individual gaps as well as bursts, their deterministic behavior related to temperature was additionally established. Thus, the number of bursts or gaps per unit of time (N-B/tau and N-G/tau) has the form of a normal distribution function over the temperature range in the region where intermittencies are obtained. Temperature dependence of the Lyapunov exponents was also described by a function of the normal distribution form. Hence, we established some regularities in the chaotic behavior of intermittent oscillations that are common in life but difficult for determinations.
Извор:
Physical Chemistry Chemical Physics, 2016, 18, 14, 9770-9778Издавач:
- Royal Soc Chemistry, Cambridge
Финансирање / пројекти:
- Динамика нелинеарних физичкохемијских и биохемијских система са моделирањем и предвиђањем њихових понашања под неравнотежним условима (RS-MESTD-Basic Research (BR or ON)-172015)
DOI: 10.1039/c6cp00759g
ISSN: 1463-9076
PubMed: 27001164
WoS: 000373570200054
Scopus: 2-s2.0-84962698237
Институција/група
IHTMTY - JOUR AU - Bubanja, Itana Nuša AU - Macesic, Stevan R. AU - Ivanović-Šašić, Ana AU - Čupić, Željko AU - Anić, Slobodan AU - Kolar-Anić, Ljiljana PY - 2016 UR - https://cer.ihtm.bg.ac.rs/handle/123456789/2037 AB - Intermittent oscillations as a chaotic mixture of large amplitude relaxation oscillations, grouped in bursts and small-amplitude sinusoidal ones or even quiescent parts between them known as gaps, were found and examined in the Bray-Liebhafsky (BL) reaction performed in CSTR under controlled temperature variations. They were obtained in a narrow temperature range from 61.0 degrees C to 63.1 degrees C, where 61.0 degrees C is the critical temperature for burst emergence from the stable steady state and 63.1 degrees C is the critical temperature for gap emergence from regular oscillations. Since intermittencies appear gradually from the regular oscillatory state, and no hysteresis was obtained with decreasing/increasing temperature in the vicinity of these two bifurcations, a linear relationship between (tau(B)/tau)(2) and (tau(G)/tau)(2) (where tau(B), tau(G) and tau denotes duration of bursts, gaps, and whole experiment, respectively), as a function of the temperature as the control parameter, was expected and obtained. Although these intermittent oscillations are chaotic with respect to the lengths of individual gaps as well as bursts, their deterministic behavior related to temperature was additionally established. Thus, the number of bursts or gaps per unit of time (N-B/tau and N-G/tau) has the form of a normal distribution function over the temperature range in the region where intermittencies are obtained. Temperature dependence of the Lyapunov exponents was also described by a function of the normal distribution form. Hence, we established some regularities in the chaotic behavior of intermittent oscillations that are common in life but difficult for determinations. PB - Royal Soc Chemistry, Cambridge T2 - Physical Chemistry Chemical Physics T1 - Intermittent chaos in the Bray-Liebhafsky oscillator. Temperature dependence VL - 18 IS - 14 SP - 9770 EP - 9778 DO - 10.1039/c6cp00759g ER -
@article{ author = "Bubanja, Itana Nuša and Macesic, Stevan R. and Ivanović-Šašić, Ana and Čupić, Željko and Anić, Slobodan and Kolar-Anić, Ljiljana", year = "2016", abstract = "Intermittent oscillations as a chaotic mixture of large amplitude relaxation oscillations, grouped in bursts and small-amplitude sinusoidal ones or even quiescent parts between them known as gaps, were found and examined in the Bray-Liebhafsky (BL) reaction performed in CSTR under controlled temperature variations. They were obtained in a narrow temperature range from 61.0 degrees C to 63.1 degrees C, where 61.0 degrees C is the critical temperature for burst emergence from the stable steady state and 63.1 degrees C is the critical temperature for gap emergence from regular oscillations. Since intermittencies appear gradually from the regular oscillatory state, and no hysteresis was obtained with decreasing/increasing temperature in the vicinity of these two bifurcations, a linear relationship between (tau(B)/tau)(2) and (tau(G)/tau)(2) (where tau(B), tau(G) and tau denotes duration of bursts, gaps, and whole experiment, respectively), as a function of the temperature as the control parameter, was expected and obtained. Although these intermittent oscillations are chaotic with respect to the lengths of individual gaps as well as bursts, their deterministic behavior related to temperature was additionally established. Thus, the number of bursts or gaps per unit of time (N-B/tau and N-G/tau) has the form of a normal distribution function over the temperature range in the region where intermittencies are obtained. Temperature dependence of the Lyapunov exponents was also described by a function of the normal distribution form. Hence, we established some regularities in the chaotic behavior of intermittent oscillations that are common in life but difficult for determinations.", publisher = "Royal Soc Chemistry, Cambridge", journal = "Physical Chemistry Chemical Physics", title = "Intermittent chaos in the Bray-Liebhafsky oscillator. Temperature dependence", volume = "18", number = "14", pages = "9770-9778", doi = "10.1039/c6cp00759g" }
Bubanja, I. N., Macesic, S. R., Ivanović-Šašić, A., Čupić, Ž., Anić, S.,& Kolar-Anić, L.. (2016). Intermittent chaos in the Bray-Liebhafsky oscillator. Temperature dependence. in Physical Chemistry Chemical Physics Royal Soc Chemistry, Cambridge., 18(14), 9770-9778. https://doi.org/10.1039/c6cp00759g
Bubanja IN, Macesic SR, Ivanović-Šašić A, Čupić Ž, Anić S, Kolar-Anić L. Intermittent chaos in the Bray-Liebhafsky oscillator. Temperature dependence. in Physical Chemistry Chemical Physics. 2016;18(14):9770-9778. doi:10.1039/c6cp00759g .
Bubanja, Itana Nuša, Macesic, Stevan R., Ivanović-Šašić, Ana, Čupić, Željko, Anić, Slobodan, Kolar-Anić, Ljiljana, "Intermittent chaos in the Bray-Liebhafsky oscillator. Temperature dependence" in Physical Chemistry Chemical Physics, 18, no. 14 (2016):9770-9778, https://doi.org/10.1039/c6cp00759g . .