Effect of diffusion on steady state stability of an oscillatory reaction model
Само за регистроване кориснике
2023
Чланак у часопису (Објављена верзија)
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The effect of diffusion on the steady-state stability of an oscillatory chemical reaction model was investigated using stoichiometric network analysis and numerical simulations. Under both spatially uniform and nonuniform conditions, steady-state stability was investigated. Under spatially uniform conditions, the model can simulate oscillatory dynamics by passing through the Andronov-Hopf bifurcation. When diffusion is introduced into the system, the results have shown that two scenarios through which instabilities can occur are possible. Either, oscillations may be caused by the same instability as it was in homogeneous case, or, diffusion may cause new type of instability. Using the exponent polytope method, we derived a system of inequalities that describes the conditions for the emergence of both, oscillations, and diffusion-driven instabilities.
Кључне речи:
Reaction-diffusion / Oscillatory chemical reactions / Stability analysis / Stoichiometric network analysis / Turing patterns / Diffusion-driven instabilitiesИзвор:
Chaos, Solitons & Fractals, 2023, 174, 113783-Издавач:
- Elsevier
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)
- Наноструктурни функционални и композитни материјали у каталитичким и сорпционим процесима (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45001)
- Министарство науке, технолошког развоја и иновација Републике Србије, институционално финансирање - 200026 (Универзитет у Београду, Институт за хемију, технологију и металургију - ИХТМ) (RS-MESTD-inst-2020-200026)
- Министарство науке, технолошког развоја и иновација Републике Србије, институционално финансирање - 200146 (Универзитет у Београду, Факултет за физичку хемију) (RS-MESTD-inst-2020-200146)
- NES - Physicochemical aspects of rhythmicity in neuroendocrine systems: Dynamic and kinetic investigations of underlying reaction networks and their main compounds (RS-ScienceFundRS-Ideje-7743504)
Институција/група
IHTMTY - JOUR AU - Maćešić, Stevan AU - Čupić, Željko AU - Kolar-Anić, Ljiljana PY - 2023 UR - https://cer.ihtm.bg.ac.rs/handle/123456789/7185 AB - The effect of diffusion on the steady-state stability of an oscillatory chemical reaction model was investigated using stoichiometric network analysis and numerical simulations. Under both spatially uniform and nonuniform conditions, steady-state stability was investigated. Under spatially uniform conditions, the model can simulate oscillatory dynamics by passing through the Andronov-Hopf bifurcation. When diffusion is introduced into the system, the results have shown that two scenarios through which instabilities can occur are possible. Either, oscillations may be caused by the same instability as it was in homogeneous case, or, diffusion may cause new type of instability. Using the exponent polytope method, we derived a system of inequalities that describes the conditions for the emergence of both, oscillations, and diffusion-driven instabilities. PB - Elsevier T2 - Chaos, Solitons & Fractals T1 - Effect of diffusion on steady state stability of an oscillatory reaction model VL - 174 SP - 113783 DO - 10.1016/j.chaos.2023.113783 ER -
@article{ author = "Maćešić, Stevan and Čupić, Željko and Kolar-Anić, Ljiljana", year = "2023", abstract = "The effect of diffusion on the steady-state stability of an oscillatory chemical reaction model was investigated using stoichiometric network analysis and numerical simulations. Under both spatially uniform and nonuniform conditions, steady-state stability was investigated. Under spatially uniform conditions, the model can simulate oscillatory dynamics by passing through the Andronov-Hopf bifurcation. When diffusion is introduced into the system, the results have shown that two scenarios through which instabilities can occur are possible. Either, oscillations may be caused by the same instability as it was in homogeneous case, or, diffusion may cause new type of instability. Using the exponent polytope method, we derived a system of inequalities that describes the conditions for the emergence of both, oscillations, and diffusion-driven instabilities.", publisher = "Elsevier", journal = "Chaos, Solitons & Fractals", title = "Effect of diffusion on steady state stability of an oscillatory reaction model", volume = "174", pages = "113783", doi = "10.1016/j.chaos.2023.113783" }
Maćešić, S., Čupić, Ž.,& Kolar-Anić, L.. (2023). Effect of diffusion on steady state stability of an oscillatory reaction model. in Chaos, Solitons & Fractals Elsevier., 174, 113783. https://doi.org/10.1016/j.chaos.2023.113783
Maćešić S, Čupić Ž, Kolar-Anić L. Effect of diffusion on steady state stability of an oscillatory reaction model. in Chaos, Solitons & Fractals. 2023;174:113783. doi:10.1016/j.chaos.2023.113783 .
Maćešić, Stevan, Čupić, Željko, Kolar-Anić, Ljiljana, "Effect of diffusion on steady state stability of an oscillatory reaction model" in Chaos, Solitons & Fractals, 174 (2023):113783, https://doi.org/10.1016/j.chaos.2023.113783 . .