Satur Oksana
Education
2017–2021 – Doctor of Philosophy (PhD) in Mathematics (Specialty 111 – Mathematics), Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv
2015–2017 – Master’s Degree in Mathematics, Mathematician, Lecturer in Mathematics, Teacher of Physics and Computer Science (Diploma with Honors, 2017), National Pedagogical Dragomanov University, Kyiv
2011–2015 – Bachelor’s Degree in Mathematics, Teacher of Mathematics (Diploma with Honors, 2015), National Pedagogical Dragomanov University, Kyiv
2015–2017 – Master’s Degree in Mathematics, Mathematician, Lecturer in Mathematics, Teacher of Physics and Computer Science (Diploma with Honors, 2017), National Pedagogical Dragomanov University, Kyiv
2011–2015 – Bachelor’s Degree in Mathematics, Teacher of Mathematics (Diploma with Honors, 2015), National Pedagogical Dragomanov University, Kyiv
Dissertations
Analysis of trajectories behavior in models of complex dynamical systems with attractive interaction, thesis for the degree of Doctor of Philosophy (PhD) in specialty 111 Mathematics
Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, 2021
Scientific supervisor: Doctor of Physical and Mathematical Sciences, Prof. V. D. Koshmanenko
Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, 2021
Scientific supervisor: Doctor of Physical and Mathematical Sciences, Prof. V. D. Koshmanenko
Research interests
Theory of dynamical conflict systems: models with attractive and repulsive interaction.
Limit states and asymptotic behavior of trajectories: fixed points, attractors and their basins, limit cycles.
Point spectrum of equilibrium states in dynamical conflict systems and its role in models of belief formation.
Mean-field dynamics of resource interaction: from uniform to aggregated states.
Mathematical models of consensus and opinion dynamics.
Conflict games: optimal strategies and loss-minimization problems.
Limit states and asymptotic behavior of trajectories: fixed points, attractors and their basins, limit cycles.
Point spectrum of equilibrium states in dynamical conflict systems and its role in models of belief formation.
Mean-field dynamics of resource interaction: from uniform to aggregated states.
Mathematical models of consensus and opinion dynamics.
Conflict games: optimal strategies and loss-minimization problems.
Experience
- Chief Software Engineer, Differential equations and oscillation theory Department, Institute of Mathematics, National Academy of Sciences of Ukraine (2018-2020).
- Junior researcher, Mathematical physics Department, Institute of Mathematics, National Academy of Sciences of Ukraine, from March 2021 to May 2025
- Researcher, Mathematical physics Department, Institute of Mathematics, National Academy of Sciences of Ukraine, from June 2025
- Junior researcher, Mathematical physics Department, Institute of Mathematics, National Academy of Sciences of Ukraine, from March 2021 to May 2025
- Researcher, Mathematical physics Department, Institute of Mathematics, National Academy of Sciences of Ukraine, from June 2025
Talks on conferences
2026
Satur O., Properties of equilibrium states of discrete dynamical systems with attractive mean-field type interaction // International Scientific Conference “Differential Equations and Their Applications” dedicated to the memory of Academician Mykola Perestyuk, Chernivtsi, Ukraine, September 23–26, 2026.
Satur O., Attractive Interaction in Dynamic Conflict Systems: A Mean-Field Approach // International Workshop “Young FLINTA* in Analysis”, Humboldt University of Berlin, Berlin, Germany, July 27–28, 2026.
Satur O., Mean-field dynamics of attractive resource interaction: from uniform to aggregated states // International Conference “Theory of Approximation of Functions and Related Problems” on the occasion of the 70th anniversary of Professor Anatoliy Romanyuk, Svitiaz, Volyn oblast, Ukraine, June 17–21, 2026.
Satur O., Minimum loss strategy in a conflict game: uniform defense // International Conference of Young Mathematicians, Kyiv, Ukraine, June 3–5, 2026.
Satur O., Dynamics of conflict interaction in terms of dominant players // Conference of Young Scientists “Pidstryhach Readings – 2026”, Lviv, Ukraine, May 27–29, 2026.
2025
Satur O., Structure and stability of fixed points in a parameterized dynamical system // International Conference dedicated to the 75th anniversary of Volodymyr Maslyuchenko, Chernivtsi, Ukraine, September 25–27, 2025. Book of Abstracts. P. 82.
Koshmanenko V., Satur O., To the problem of minimum losses in a conflict game with three regions // International Workshop on Modern Problems of Analysis, Optimization, Approximation and Their Applications, Rome, Italy, June 25–27, 2025. Book of Proceedings. P. 81–84.
Satur O., Dynamics of conflict interaction in terms of minimal values // International Conference of Young Mathematicians, Kyiv, Ukraine, June 4–6, 2025.
Satur O., Analysis of optimal strategy in a conflict game for three positions taking losses into account // Conference of Young Scientists “Pidstryhach Readings – 2025”, Lviv, Ukraine, May 27–29, 2025.
2024
Koshmanenko V., Satur O., Point spectrum as a profile of beliefs in conflict models // International Scientific and Practical Conference “Modeling, Control and Information Technologies”, Rivne, Ukraine, 2024. Proceedings. Iss. 7. P. 244–246.
Koshmanenko V., Satur O., On structure of the point spectrum in equilibrium states of the dynamical conflict systems // Bogolyubov Kyiv Conference “Problems of Theoretical and Mathematical Physics”, Kyiv, Ukraine, September 24–26, 2024.
Satur O., Equilibrium states of dynamical conflict systems with a point spectrum // Conference of Young Scientists “Pidstryhach Readings – 2024”, Lviv, Ukraine, May 27–29, 2024.
2023
Satur O., Dynamics of conflict interaction in terms of maximal values // XIX International Scientific Conference named after Mykhailo Kravchuk, Kyiv, Ukraine, October 11–12, 2023. Abstracts. P. 55–56.
Satur O., Dynamics of conflict interaction in terms of minimal players // Workshop “Complex Dynamical Systems: Theory, Mathematical Modelling, Computing and Application”, Kyiv, Ukraine, October 2–4, 2023.
Satur O., Dynamics of conflict interaction in terms of minimal players // International Scientific Conference “Mathematics and Information Technologies”, Chernivtsi, Ukraine, September 28–30, 2023. Conference Proceedings. P. 123–124.
Koshmanenko V., Karatayeva T., Satur O., Equilibrium state as a compromise in the struggle of opponents // International Scientific and Practical Conference “Modeling, Control and Information Technologies”, Rivne, Ukraine, 2023. Proceedings. Iss. 6. P. 65–66.
Satur O., Existence of fixed points in models of dynamic conflict systems with attractive interaction // International Conference of Young Mathematicians, Kyiv, Ukraine, June 1–3, 2023. Abstracts.
Satur O., Dynamics of conflict interaction in terms of minimal players // International Scientific Conference “Modern Problems of Mechanics and Mathematics – 2023”, Lviv, Ukraine, 2023. Collection of Scientific Works. P. 363–364.
Satur O., Convergence to an equilibrium attractor in models of dynamic conflict systems with attractive interaction // Digital Theme UK-Ukraine Research Twinning Conference, March 27–30, 2023.
2021
Satur O., Limit states of multi-component discrete dynamical systems // 8th European Congress of Mathematics, Portorož, Slovenia, June 20–26, 2021. Book of Abstracts. P. 632.
Satur O., Emergence of limit cycles in models of dynamical conflict systems // International Conference of Young Mathematicians, Kyiv, Ukraine, June 3–5, 2021. Abstracts. P. 71.
Satur O., Point spectrum in conflict dynamical systems with attractive interaction // Conference of Young Scientists “Pidstryhach Readings – 2021”, Lviv, Ukraine, May 26–28, 2021.
2019
Satur O., Dynamical picture of biological populations with attractive and repulsive interaction // III International Scientific and Practical Conference “Modeling, Control and Information Technologies”, Rivne, Ukraine, 2019. Proceedings. P. 69–71.
Satur O., The sure event problem in multi-component dynamical systems with attractive interaction // International Conference of Young Mathematicians, Kyiv, Ukraine, 2019. Abstracts. P. 40.
2018
Kharchenko N., Satur O., Dynamic model of opinion formation // 8th International Scientific Conference “Modern Problems of Mathematical Modeling, Forecasting and Optimization”, Kamianets-Podilskyi, Ukraine, 2018. Abstracts. P. 8–9.
Kharchenko N., Satur O., Opinion dynamics on a network // International Conference “Modern Stochastics: Theory and Applications IV”, Kyiv, Ukraine, 2018. Abstracts. P. 31.
Satur O., Properties of equilibrium states of discrete dynamical systems with attractive mean-field type interaction // International Scientific Conference “Differential Equations and Their Applications” dedicated to the memory of Academician Mykola Perestyuk, Chernivtsi, Ukraine, September 23–26, 2026.
Satur O., Attractive Interaction in Dynamic Conflict Systems: A Mean-Field Approach // International Workshop “Young FLINTA* in Analysis”, Humboldt University of Berlin, Berlin, Germany, July 27–28, 2026.
Satur O., Mean-field dynamics of attractive resource interaction: from uniform to aggregated states // International Conference “Theory of Approximation of Functions and Related Problems” on the occasion of the 70th anniversary of Professor Anatoliy Romanyuk, Svitiaz, Volyn oblast, Ukraine, June 17–21, 2026.
Satur O., Minimum loss strategy in a conflict game: uniform defense // International Conference of Young Mathematicians, Kyiv, Ukraine, June 3–5, 2026.
Satur O., Dynamics of conflict interaction in terms of dominant players // Conference of Young Scientists “Pidstryhach Readings – 2026”, Lviv, Ukraine, May 27–29, 2026.
2025
Satur O., Structure and stability of fixed points in a parameterized dynamical system // International Conference dedicated to the 75th anniversary of Volodymyr Maslyuchenko, Chernivtsi, Ukraine, September 25–27, 2025. Book of Abstracts. P. 82.
Koshmanenko V., Satur O., To the problem of minimum losses in a conflict game with three regions // International Workshop on Modern Problems of Analysis, Optimization, Approximation and Their Applications, Rome, Italy, June 25–27, 2025. Book of Proceedings. P. 81–84.
Satur O., Dynamics of conflict interaction in terms of minimal values // International Conference of Young Mathematicians, Kyiv, Ukraine, June 4–6, 2025.
Satur O., Analysis of optimal strategy in a conflict game for three positions taking losses into account // Conference of Young Scientists “Pidstryhach Readings – 2025”, Lviv, Ukraine, May 27–29, 2025.
2024
Koshmanenko V., Satur O., Point spectrum as a profile of beliefs in conflict models // International Scientific and Practical Conference “Modeling, Control and Information Technologies”, Rivne, Ukraine, 2024. Proceedings. Iss. 7. P. 244–246.
Koshmanenko V., Satur O., On structure of the point spectrum in equilibrium states of the dynamical conflict systems // Bogolyubov Kyiv Conference “Problems of Theoretical and Mathematical Physics”, Kyiv, Ukraine, September 24–26, 2024.
Satur O., Equilibrium states of dynamical conflict systems with a point spectrum // Conference of Young Scientists “Pidstryhach Readings – 2024”, Lviv, Ukraine, May 27–29, 2024.
2023
Satur O., Dynamics of conflict interaction in terms of maximal values // XIX International Scientific Conference named after Mykhailo Kravchuk, Kyiv, Ukraine, October 11–12, 2023. Abstracts. P. 55–56.
Satur O., Dynamics of conflict interaction in terms of minimal players // Workshop “Complex Dynamical Systems: Theory, Mathematical Modelling, Computing and Application”, Kyiv, Ukraine, October 2–4, 2023.
Satur O., Dynamics of conflict interaction in terms of minimal players // International Scientific Conference “Mathematics and Information Technologies”, Chernivtsi, Ukraine, September 28–30, 2023. Conference Proceedings. P. 123–124.
Koshmanenko V., Karatayeva T., Satur O., Equilibrium state as a compromise in the struggle of opponents // International Scientific and Practical Conference “Modeling, Control and Information Technologies”, Rivne, Ukraine, 2023. Proceedings. Iss. 6. P. 65–66.
Satur O., Existence of fixed points in models of dynamic conflict systems with attractive interaction // International Conference of Young Mathematicians, Kyiv, Ukraine, June 1–3, 2023. Abstracts.
Satur O., Dynamics of conflict interaction in terms of minimal players // International Scientific Conference “Modern Problems of Mechanics and Mathematics – 2023”, Lviv, Ukraine, 2023. Collection of Scientific Works. P. 363–364.
Satur O., Convergence to an equilibrium attractor in models of dynamic conflict systems with attractive interaction // Digital Theme UK-Ukraine Research Twinning Conference, March 27–30, 2023.
2021
Satur O., Limit states of multi-component discrete dynamical systems // 8th European Congress of Mathematics, Portorož, Slovenia, June 20–26, 2021. Book of Abstracts. P. 632.
Satur O., Emergence of limit cycles in models of dynamical conflict systems // International Conference of Young Mathematicians, Kyiv, Ukraine, June 3–5, 2021. Abstracts. P. 71.
Satur O., Point spectrum in conflict dynamical systems with attractive interaction // Conference of Young Scientists “Pidstryhach Readings – 2021”, Lviv, Ukraine, May 26–28, 2021.
2019
Satur O., Dynamical picture of biological populations with attractive and repulsive interaction // III International Scientific and Practical Conference “Modeling, Control and Information Technologies”, Rivne, Ukraine, 2019. Proceedings. P. 69–71.
Satur O., The sure event problem in multi-component dynamical systems with attractive interaction // International Conference of Young Mathematicians, Kyiv, Ukraine, 2019. Abstracts. P. 40.
2018
Kharchenko N., Satur O., Dynamic model of opinion formation // 8th International Scientific Conference “Modern Problems of Mathematical Modeling, Forecasting and Optimization”, Kamianets-Podilskyi, Ukraine, 2018. Abstracts. P. 8–9.
Kharchenko N., Satur O., Opinion dynamics on a network // International Conference “Modern Stochastics: Theory and Applications IV”, Kyiv, Ukraine, 2018. Abstracts. P. 31.
Miscellaneous
Deputy Chairman of the Council of Young Scientists of the Institute of Mathematics of the National Academy of Sciences of Ukraine, 2022–2025, 2025–present.
Member of the Council of Young Scientists of the Mathematics Department of the National Academy of Sciences of Ukraine, 2024–present.
Honors:
- Scholarship of the National Academy of Sciences of Ukraine for Young Scientists (November 2021 – October 2023).
- Verkhovna Rada (Parliament) of Ukraine Award for Young Scientists for 2022 for the work "Algebraic and Analytic Methods in the Theory of Differential Equations and Dynamical Systems" (co-authored with O. O. Vaneeva and O. M. Atlasiuk).
- Scholarship of the President of Ukraine for Young Scientists (November 2023 – October 2025).
- Yaroslav Pidstryhach Prize for Young Scientists in Mathematics based on the results of the Conference of Young Scientists "Pidstryhach Readings – 2024".
- Award of the National Academy of Sciences of Ukraine for Young Scientists "Talent, Inspiration, Work", 2024.
- Yurii Sokolov Prize for the series of research papers "Dynamical Conflict Systems with Attractive and Repulsive Interaction", 2024.
- Scholarship of the President of Ukraine for Young Scientists (November 2025 – present).
- Gratitude of the Kyiv City Mayor for significant personal contribution to the development of domestic science, strengthening the scientific and technical potential of the capital under martial law, long-term conscientious work, high professionalism, and on the occasion of the Day of Science (May 16, 2026, No. 131232).
- Certificate of Merit based on the results of the Conference of Young Scientists "Pidstryhach Readings – 2026".
Participation in grant projects:
- Grant project for young scientists: "Algebraic and analytical methods in the theory of differential equations with partial derivatives"; (state registration number 0121U110543) – 2021-2022, the head is Olena Oleksandrivna Vaneeva, Doctor of Physical and Mathematical Sciences.
- Project of the National Research Fund of Ukraine 2020.02/0089: "Complex dynamic systems in natural sciences: theory, mathematical modeling, numerical methods and application to advanced technologies"; (state registration number 0120U104004), 2020-2023, the head is Tymoha Oleksandr Mykolayovych, Doctor of Physical and Mathematical Sciences.
- Simons Foundation (1030291), November 2022 - October 2023.
- Project “Mathematical Simulation of Complex Dynamic Systems and Processes Actual for the State Security” (No. 0123U100853), 2024, the head is Tymoha Oleksandr Mykolayovych, Doctor of Physical and Mathematical Sciences.
- Simons Foundation (1290607), February 2024 - January 2025.
- Simons Foundation (SFI-PD-Ukraine-00014586), April 2025 - March 2026.
- Project ” Mathematical modeling of complex systems and security-related processes" (No. 0125U000299), 2025-2026, the head is Tymoha Oleksandr Mykolayovych, Doctor of Physical and Mathematical Sciences.
Member of the Council of Young Scientists of the Mathematics Department of the National Academy of Sciences of Ukraine, 2024–present.
Honors:
- Scholarship of the National Academy of Sciences of Ukraine for Young Scientists (November 2021 – October 2023).
- Verkhovna Rada (Parliament) of Ukraine Award for Young Scientists for 2022 for the work "Algebraic and Analytic Methods in the Theory of Differential Equations and Dynamical Systems" (co-authored with O. O. Vaneeva and O. M. Atlasiuk).
- Scholarship of the President of Ukraine for Young Scientists (November 2023 – October 2025).
- Yaroslav Pidstryhach Prize for Young Scientists in Mathematics based on the results of the Conference of Young Scientists "Pidstryhach Readings – 2024".
- Award of the National Academy of Sciences of Ukraine for Young Scientists "Talent, Inspiration, Work", 2024.
- Yurii Sokolov Prize for the series of research papers "Dynamical Conflict Systems with Attractive and Repulsive Interaction", 2024.
- Scholarship of the President of Ukraine for Young Scientists (November 2025 – present).
- Gratitude of the Kyiv City Mayor for significant personal contribution to the development of domestic science, strengthening the scientific and technical potential of the capital under martial law, long-term conscientious work, high professionalism, and on the occasion of the Day of Science (May 16, 2026, No. 131232).
- Certificate of Merit based on the results of the Conference of Young Scientists "Pidstryhach Readings – 2026".
Participation in grant projects:
- Grant project for young scientists: "Algebraic and analytical methods in the theory of differential equations with partial derivatives"; (state registration number 0121U110543) – 2021-2022, the head is Olena Oleksandrivna Vaneeva, Doctor of Physical and Mathematical Sciences.
- Project of the National Research Fund of Ukraine 2020.02/0089: "Complex dynamic systems in natural sciences: theory, mathematical modeling, numerical methods and application to advanced technologies"; (state registration number 0120U104004), 2020-2023, the head is Tymoha Oleksandr Mykolayovych, Doctor of Physical and Mathematical Sciences.
- Simons Foundation (1030291), November 2022 - October 2023.
- Project “Mathematical Simulation of Complex Dynamic Systems and Processes Actual for the State Security” (No. 0123U100853), 2024, the head is Tymoha Oleksandr Mykolayovych, Doctor of Physical and Mathematical Sciences.
- Simons Foundation (1290607), February 2024 - January 2025.
- Simons Foundation (SFI-PD-Ukraine-00014586), April 2025 - March 2026.
- Project ” Mathematical modeling of complex systems and security-related processes" (No. 0125U000299), 2025-2026, the head is Tymoha Oleksandr Mykolayovych, Doctor of Physical and Mathematical Sciences.