Attractor reconstruction is done from the time series obtained by experimental investigation and by deterministic and stochastic simulation of the Bray-Liebhafsky oscillatory reaction. The appearance of deterministic chaos is confirmed and proven by both simulation and experiment, determining Lyapunov exponents for the sequences of flow rate values, as the control parameter. Moreover, unusual chaotic series were additionally recorded in the experiments, which cannot be found in deterministic numerical simulations. Therefore, an explanation of the difference between the dynamic behavior in the experiment and the deterministic simulation was sought and stochastic simulations based on the same reaction model were particularly useful. The. ne structure of the chaotic windows, derived from the analysis of deterministic simulations in the range of flow rate values, made the system highly susceptible to noise induced effects, in general.
Source:
Physical Chemistry Chemical Physics, 2008, 10, 38, 5848-5858
TY - JOUR
AU - Ivanović-Šašić, Ana
AU - Čupić, Željko
AU - Janković, Marija M.
AU - Kolar-Anić, Ljiljana
AU - Anić, Slobodan
PY - 2008
UR - https://cer.ihtm.bg.ac.rs/handle/123456789/382
AB - Attractor reconstruction is done from the time series obtained by experimental investigation and by deterministic and stochastic simulation of the Bray-Liebhafsky oscillatory reaction. The appearance of deterministic chaos is confirmed and proven by both simulation and experiment, determining Lyapunov exponents for the sequences of flow rate values, as the control parameter. Moreover, unusual chaotic series were additionally recorded in the experiments, which cannot be found in deterministic numerical simulations. Therefore, an explanation of the difference between the dynamic behavior in the experiment and the deterministic simulation was sought and stochastic simulations based on the same reaction model were particularly useful. The. ne structure of the chaotic windows, derived from the analysis of deterministic simulations in the range of flow rate values, made the system highly susceptible to noise induced effects, in general.
PB - Royal Soc Chemistry, Cambridge
T2 - Physical Chemistry Chemical Physics
T1 - The chaotic sequences in the Bray-Liebhafsky reaction in an open reactor
VL - 10
IS - 38
SP - 5848
EP - 5858
DO - 10.1039/b804580a
ER -
@article{
author = "Ivanović-Šašić, Ana and Čupić, Željko and Janković, Marija M. and Kolar-Anić, Ljiljana and Anić, Slobodan",
year = "2008",
abstract = "Attractor reconstruction is done from the time series obtained by experimental investigation and by deterministic and stochastic simulation of the Bray-Liebhafsky oscillatory reaction. The appearance of deterministic chaos is confirmed and proven by both simulation and experiment, determining Lyapunov exponents for the sequences of flow rate values, as the control parameter. Moreover, unusual chaotic series were additionally recorded in the experiments, which cannot be found in deterministic numerical simulations. Therefore, an explanation of the difference between the dynamic behavior in the experiment and the deterministic simulation was sought and stochastic simulations based on the same reaction model were particularly useful. The. ne structure of the chaotic windows, derived from the analysis of deterministic simulations in the range of flow rate values, made the system highly susceptible to noise induced effects, in general.",
publisher = "Royal Soc Chemistry, Cambridge",
journal = "Physical Chemistry Chemical Physics",
title = "The chaotic sequences in the Bray-Liebhafsky reaction in an open reactor",
volume = "10",
number = "38",
pages = "5848-5858",
doi = "10.1039/b804580a"
}
Ivanović-Šašić, A., Čupić, Ž., Janković, M. M., Kolar-Anić, L.,& Anić, S.. (2008). The chaotic sequences in the Bray-Liebhafsky reaction in an open reactor. in Physical Chemistry Chemical Physics
Royal Soc Chemistry, Cambridge., 10(38), 5848-5858.
https://doi.org/10.1039/b804580a
Ivanović-Šašić A, Čupić Ž, Janković MM, Kolar-Anić L, Anić S. The chaotic sequences in the Bray-Liebhafsky reaction in an open reactor. in Physical Chemistry Chemical Physics. 2008;10(38):5848-5858.
doi:10.1039/b804580a .
Ivanović-Šašić, Ana, Čupić, Željko, Janković, Marija M., Kolar-Anić, Ljiljana, Anić, Slobodan, "The chaotic sequences in the Bray-Liebhafsky reaction in an open reactor" in Physical Chemistry Chemical Physics, 10, no. 38 (2008):5848-5858,
https://doi.org/10.1039/b804580a . .
