Construction and study of the system of differential equations that describes the mutual synchronization of coupled self-oscillating chemical systems
Keywords:
self-oscillating system, synchronization bar, system of differential equations.
Abstract
The article constructs and investigates the system of differential equations that describes the mutual synchronization of coupled self-oscillating chemical systems, defines the synchronization bar in which a synchronous mode exists and determines the time of establishment of the synchronous phase difference.
References
Tyson, J. (2002) Biochemical oscillations. Computational Cell Biology, no. 20, P. 230-260.
Novak, B. & Tyson, J. (2008) Design principles of biochemical oscillators. Nature Reviews. Molecular Cell Biology, vol. 9, no. 12, P. 981-991.
Demidovich, B. & Modenov, V. (2008) Differential Equations. 3rd ed., Saint Petersburg: Lan.
Hubal, H. M. (2015) Interdisciplinary connections in a differential research model of oscillations in biological systems. In Proceedings of International Mathematical Conference “Shesty’e Bogdanovskie chteniya po oby’knovenny’m differenczial’ny’m uravneniyam”, P. 142-144.
Hubal, H. M. (2017) The construction and study of the system of differential equations that describes biochemical processes rates. Computer Integrated Technologies: Education, Science, Production, no. 27, P. 99-104.
Struthers, A. & Potter, M. (2019) Differential equations: for scientists and engineers. 2nd ed., Springer.
Zill, D.G. (2017) A first course in differential equations with modeling applications. 11th ed., Cengage Learning.
Novak, B. & Tyson, J. (2008) Design principles of biochemical oscillators. Nature Reviews. Molecular Cell Biology, vol. 9, no. 12, P. 981-991.
Demidovich, B. & Modenov, V. (2008) Differential Equations. 3rd ed., Saint Petersburg: Lan.
Hubal, H. M. (2015) Interdisciplinary connections in a differential research model of oscillations in biological systems. In Proceedings of International Mathematical Conference “Shesty’e Bogdanovskie chteniya po oby’knovenny’m differenczial’ny’m uravneniyam”, P. 142-144.
Hubal, H. M. (2017) The construction and study of the system of differential equations that describes biochemical processes rates. Computer Integrated Technologies: Education, Science, Production, no. 27, P. 99-104.
Struthers, A. & Potter, M. (2019) Differential equations: for scientists and engineers. 2nd ed., Springer.
Zill, D.G. (2017) A first course in differential equations with modeling applications. 11th ed., Cengage Learning.
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Published
2020-12-14
How to Cite
Hubal, H. (2020). Construction and study of the system of differential equations that describes the mutual synchronization of coupled self-oscillating chemical systems. COMPUTER-INTEGRATED TECHNOLOGIES: EDUCATION, SCIENCE, PRODUCTION, (41), 30-34. https://doi.org/10.36910/6775-2524-0560-2020-41-05
Section
Automation and Control
