The chaotic sequences in the Bray-Liebhafsky reaction in an open reactor
Апстракт
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.
Извор:
Physical Chemistry Chemical Physics, 2008, 10, 38, 5848-5858Финансирање / пројекти:
- Fund for Science and Technologies and Development of Serbia [142019, 142025, 142050]
DOI: 10.1039/b804580a
ISSN: 1463-9076; 1463-9084
PubMed: 18818837
WoS: 000259677900007
Scopus: 2-s2.0-52949091120
Колекције
Институција/група
VinčaTY - JOUR AU - Ivanović, A. Z. AU - Cupic, Z. D. AU - Janković, Marija M. AU - Kolar-Anić, Ljiljana AU - Anic, S. R. PY - 2008 UR - https://vinar.vin.bg.ac.rs/handle/123456789/3533 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. 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, A. Z. and Cupic, Z. D. and Janković, Marija M. and Kolar-Anić, Ljiljana and Anic, S. R.", 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.", 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, A. Z., Cupic, Z. D., Janković, M. M., Kolar-Anić, L.,& Anic, S. R.. (2008). The chaotic sequences in the Bray-Liebhafsky reaction in an open reactor. in Physical Chemistry Chemical Physics, 10(38), 5848-5858. https://doi.org/10.1039/b804580a
Ivanović AZ, Cupic ZD, Janković MM, Kolar-Anić L, Anic SR. 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, A. Z., Cupic, Z. D., Janković, Marija M., Kolar-Anić, Ljiljana, Anic, S. R., "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 . .