Alexey Kazakov
- Professor:HSE Campus in Nizhny Novgorod / Faculty of Informatics, Mathematics, and Computer Science (HSE Nizhny Novgorod) / Department of Fundamental Mathematics
- Chief Research Fellow:HSE Campus in Nizhny Novgorod / Faculty of Informatics, Mathematics, and Computer Science (HSE Nizhny Novgorod) / International Laboratory of Dynamical Systems and Applications
- Alexey Kazakov has been at HSE University since 2015.
Education and Degrees
- 2021
Doctor of Sciences*
HSE University - 2014
Candidate of Sciences* (PhD)
- 2010
Master's
HSE University - 2008
Bachelor's
Lobachevsky State University of Nizhny Novgorod
According to the International Standard Classification of Education (ISCED) 2011, Candidate of Sciences belongs to ISCED level 8 - "doctoral or equivalent", together with PhD, DPhil, D.Lit, D.Sc, LL.D, Doctorate or similar. Candidate of Sciences allows its holders to reach the level of the Associate Professor.
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.
Courses (2019/2020)
- Mathematical analysis 2 and Differential Equations (Bachelor’s programme; Faculty of Informatics, Mathematics, and Computer Science (HSE Nizhny Novgorod); 2 year, 2-4 module)Eng
- Research seminar "Theory of local bifurcations" (Master’s programme; Faculty of Informatics, Mathematics, and Computer Science (HSE Nizhny Novgorod); 1 year, 1, 2 module)Eng
- Past Courses
Courses (2018/2019)
Courses (2017/2018)
Grants
Russian Science Foundation, проект № 19-71-10048 (supervisor, 2019-2022)
Russian Foundation for Basic Research, project № 18-31-20052 (supervisor, 2019-2020)
Russian Foundation for Basic Research, project № 18-31-00431 (supervisor, 2018-2019)
Russian Foundation for Basic Research, project № 19-01-00607 (executor, 2019-2021)
Russian Foundation for Basic Research, project № 18-29-10081 (executor, 2018-2020)
Russian Foundation for Basic Research, project № 17-11-01041 (executor, 2017-2019)
Russian Foundation for Basic Research, project № 16-51-10005 (executor, 2016-2017)
Russian Science Foundation, проект № 14-12-00811 (executor, 2017-2018)
Russian Science Foundation, проект № 15-12-20035 (executor, 2015-2016)
Russian Foundation for Basic Research, project № 15-38-20879 (executor, 2015-2016)
Russian Science Foundation, project № 14-41-00044 (executor, 2014-2016)
Russian Foundation for Basic Research, project № 15-08-09261 (executor, 2015-2017)
Russian Foundation for Basic Research, project № 14-01-00344 (executor, 2014-2016)
Russian Foundation for Basic Research, project № 13-01-00589 (executor, 2013-2015)
Russian Foundation for Basic Research, project № 13-01-97028 (executor, 2013-2015)
Grant of the Government of the Russian Federation, project № 11.G34.31.0039 (executor, 2012-2013)
Conferences
- 2019
7th Bremen Summer School/Symposium on "Dynamical Systems- pure and applied" (Бремен). Presentation: Applying of 1D mappings to study Shilnikov spiral attracors in strongly dissipative three-dimensional flows
7th Bremen Summer School/Symposium on "Dynamical Systems- pure and applied" (Бремен). Presentation: On the boundary between Lorenz attractor and quaisattractor in Shimizu-Morioka system
709. WE-Heraeus-Seminar on “Quantization of Dissipative Chaos: Ideas and Means” (Бад Хоннеф). Presentation: On the merger of a chaotic attractor with a chaotic repeller leading to the mixed dynamics
Dynamics, Equations and Applications (DEA 2019) (Краков). Presentation: Wild pseudohyperbolic attractor in a four-dimensional Lorenz model
Publications55
- Article Vladimir Chigarev, Alexey Kazakov, Arkady Pikovsky. Attractor–repeller collision and the heterodimensional dynamics // Chaos. 2023. Vol. 33. No. 6. Article 063113. doi
- Article Yu. V. Bakhanova, S. V. Gonchenko, Gonchenko A. S., A. O. Kazakov, Samylina E. On Shilnikov attractors of three-dimensional flows and maps // Journal of difference equations and applications. 2023. Vol. 29. No. 9-12. P. 1184-1201. doi
- Article Shykhmamedov A., Karatetskaia E., Kazakov A., Stankevich N. Scenarios for the creation of hyperchaotic attractors in 3D maps // Nonlinearity. 2023. Vol. 36. No. 7. P. 3501-3541. doi
- Article Barinova M., Galkin O., Galkina S., Gonchenko S., Grines V., Gurevich E., Kazakov A., Kruglov V., Lerman L., Малкин М. И., Malyshev D., Medvedev T. V., Mints D., Morozov A., Nozdrinova E., Pelinovsky E., Polotovskiy G., Pochinka O., Remizov I., Slunyaev A., Таланова Е. А., Turaev D., Chebochko N., Chilina E., Shubin D., Yakovlev E., Zhukova N., Zhuzhoma E. V., Зинина С. Х. Vladislav Sergeevich Medvedev. On the occasion of his 80th birthday. // Russian Journal of Nonlinear Dynamics. 2023 doi
- Article Баринова М. К., Галкин О. Е., Галкина С. Ю., Гонченко С. В., Гринес В. З., Гуревич Е. Я., Жужома Е. В., Жукова Н. И., Зинина С. Х., Казаков А. О., Круглов В. Е., Лерман Л. М., Малкин М. И., Малышев Д. С., Медведев Т. В., Минц Д. И., Морозов А. И., Ноздринова Е. В., Пелиновский Е. Н., Полотовский Г. М., Починка О. В., Ремизов И. Д., Слюняев А. В., Таланова Е. А., Тураев Д. В., Чебочко Н. Г., Чилина Е. Е., Шубин Д. Д., Яковлев Е. И. К 80-летию со дня рождения Владислава Сергеевича Медведева // Журнал Средневолжского математического общества. 2023. Т. 25. № 1. С. 522-526.
- Article Gonchenko S., Karatetskaia E., Kazakov A., Kruglov V. Conjoined Lorenz twins – a new pseudohyperbolic attractor in three-dimensional maps and flows // Chaos. 2022. Vol. 32. No. 12. Article 121107. doi
- Article Gonchenko M. S., Kazakov A., Samylina E., Shykhmamedov A. On 1:3 Resonance Under Reversible Perturbations of Conservative Cubic Hénon Maps // Regular and Chaotic Dynamics. 2022. Vol. 27. No. 2. P. 198-216. doi
- Article Grines E. A., Kazakov A., Sataev I. R. On the origin of chaotic attractors with two zero Lyapunov exponents in a system of five biharmonically coupled phase oscillators // Chaos. 2022. Vol. 32. Article 093105. doi
- Article Chigarev V., Kazakov A., Pikovsky A. Mutual singularities of overlapping attractor and repeller // Chaos. 2021. Vol. 31. No. 8. Article 083127 . doi
- Article M. Kainov, A. Kazakov. On Examples of Pseudohyperbolic Attractors in Flows and Maps // Lobachevskii Journal of Mathematics. 2021. Vol. 42. No. 14. P. 3451-3467. doi
- Article Gonchenko S., Gonchenko A., Kazakov A., Samylina E. On discrete Lorenz-like attractors // Chaos. 2021. Vol. 31. No. 2. Article 023117. doi
- Article Karatetskaia E., Шыхмамедов А. И., Kazakov A. Shilnikov attractors in three-dimensional orientation-reversing maps // Chaos. 2021. Vol. 31. Article 011102. doi
- Article Gonchenko S., Kazakov A., Turaev D. Wild pseudohyperbolic attractor in a four-dimensional Lorenz system // Nonlinearity. 2021. Vol. 34. No. 4. P. 2018-2047. doi
- Article Malykh S., Bakhanova Y., Kazakov A., Pusuluri K., Shilnikov A. Homoclinic chaos in the Rössler model // Chaos. 2020. Vol. 30. Article 113126. doi
- Article Chigarev V., Kazakov A., Пиковский А. Kantorovich–Rubinstein–Wasserstein distance between overlapping attractor and repeller // Chaos. 2020. Vol. 30. No. 7. Article 073114. doi
- Article Kazakov A. Merger of a Hénon-like attractor with a Hénon-like repeller in a model of vortex dynamics // Chaos. 2020. Vol. 30. No. 1. Article 011105. doi
- Article Stankevich N., Kazakov A., Gonchenko S. Scenarios of hyperchaos occurrence in 4D Rössler system // Chaos. 2020. Vol. 30. Article 123129. doi
- Article Garashchuk I., Kazakov A., Sinelshchikov D. Synchronous oscillations and symmetry breaking in a model of two interacting ultrasound contrast agents // Nonlinear Dynamics. 2020. Vol. 101. P. 1199-1213. doi
- Article Gonchenko S., Gonchenko A. S., Kazakov A. Three Types of Attractors and Mixed Dynamics of Nonholonomic Models of Rigid Body Motion / Пер. с рус. // Proceedings of the Steklov Institute of Mathematics. 2020. Vol. 308. No. 1. P. 125-140. doi
- Article Баханова Ю. В., Казаков А. О., Каратецкая Е. Ю., Козлов А., Сафонов К. А. О гомоклинических аттракторах трехмерных потоков // Известия высших учебных заведений. Прикладная нелинейная динамика. 2020. Т. 28. № 3. С. 231-258. doi
- Article Korotkov A., Kazakov A., Леванова Т. А. Effects of memristor-based coupling in the ensemble of FitzHugh-Nagumo elements // European Physical Journal: Special Topics. 2019. Vol. 228. No. 10. P. 2325-2337. doi
- Article Garashchuk I., Kazakov A., Sinelshchikov D., Kudryashov N. A. Hyperchaos and Multistability in the Model of Two Interacting Microbubble Contrast Agents // Chaos. 2019. Vol. 29. No. 6. P. 063131-1-063131-16. doi
- Article Korotkov A., Kazakov A., Леванова Т. А., Осипов Г. В. The dynamics of ensemble of neuron-like elements with excitatory couplings // Communications in Nonlinear Science and Numerical Simulation. 2019. Vol. 71. P. 38-49. doi
- Article Казаков А. О., Баханова Ю. В., Козлов А. Д., Гонченко С. В., Гонченко А. С. Математическая теория динамического хаоса и её приложения: Обзор Часть 2. Спиральный хаос трехмерных потоков // Известия высших учебных заведений. Прикладная нелинейная динамика. 2019. Т. 27. № 5. С. 7-52. doi (in press)
- Article Казаков А. О., Каратецкая Е. Ю., Сафонов К. А., Козлов А. Д. О классификации гомоклинических аттракторов трехмерных потоков // Журнал Средневолжского математического общества. 2019. Т. 21. № 4
- Article Kazakov A., Korotkov A. G., Levanova T. A., Osipov G. V. Chaotic regimes in the ensemble of FitzhHugh-Nagumo elements with weak couplings // IFAC-PapersOnLine. 2018 (in press)
- Article Gonchenko S. V., Gonchenko A. S., Kazakov A., Козлов А. Д. Elements of Contemporary Theory of Dynamical Chaos: A Tutorial. Part I. Pseudohyperbolic Attractors // International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2018. Vol. 28. No. 11. P. 1830036-1-1830036-29. doi
- Article Bakhanova Y., Kazakov A., Korotkov A. G., Levanova T. A., Osipov G. V. Spiral attractors as the root of a new type of "bursting activity" in the Rosenzweig-MacArthur model // European Physical Journal: Special Topics. 2018. No. 227. P. 959-970. doi
- Article Казаков А. О., Леванова Т. А., Коротков А. Г., Осипов Г. В. Влияние электрической связи на динамику ансамбля нейроноподобных элементов с синаптическими тормозящими связями // Известия высших учебных заведений. Прикладная нелинейная динамика. 2018. Т. 26. № 5. С. 101-112. doi
- Article Казаков А. О., Козлов А. Д. Несимметричный аттрактор Лоренца как пример нового псевдогиперболического аттрактора в трехмерных системах // Журнал Средневолжского математического общества. 2018. Т. 20. № 2. С. 187-198. doi
- Article Казаков А. О. О возникновении смешанной динамики в результате столкновения странных аттракторов и репеллеров в обратимых системах // Известия высших учебных заведений. Радиофизика. 2018. Т. 61. № 8-9. С. 729-738.
- Article Казаков А. О., Гонченко А. С., Гонченко С. В., Самылина Е. А. Хаотическая динамика и мультистабильность в неголономной модели кельтского камня // Известия высших учебных заведений. Радиофизика. 2018. Т. 61. № 10. С. 867-882. doi
- Preprint Kazakov A. On a scenario of onset of strongly dissipative mixed dynamics / Cornell University. Series math "arxiv.org". 2017. No. 1801.00150.
- Article Kazakov A., Gonchenko S. V., Turaev D. V., Gonchenko A. S. On the phenomenon of mixed dynamics in Pikovsky–Topaj system of coupled rotators // Physica D: Nonlinear Phenomena. 2017. Vol. 350. P. 45-57. doi
- Article Казаков А. О., Гонченко С. В., Гонченко А. С., Козлов А. Д. Математическая теория динамического хаоса и её приложения: Обзор. Часть 1. Псевдогиперболические аттракторы // Известия высших учебных заведений. Прикладная нелинейная динамика. 2017. Т. 25. № 2. С. 4-36. doi
- Article Самылина Е. А., Шыхмамедов А. И., Казаков А. О. О структуре резонансов 1:3 и 1:4 при обратимых возмущениях консервативных кубических отображений Эно // Динамические системы. 2017. Т. 7(35). № 3. С. 229-244.
- Article Казаков А. О., Борисов А. В., Пивоварова Е. Н. Регулярная и хаотическая динамика в «резиновой» модели волчка Чаплыгина // Нелинейная динамика. 2017. Т. 13. № 2. С. 277-297. doi
- Article Казаков А. О., Баханова Ю. В., Коротков А. Г. Спиральный хаос в моделях типа Лотки-Вольтерры // Журнал Средневолжского математического общества. 2017. Т. 19. № 2. С. 13-24. doi
- Article Казаков А. О., Коротков А. Г., Баханова Ю. В. Спиральный хаос в моделях типа Лотки-Вольтерры // Журнал Средневолжского математического общества. 2017. Т. 19. № 2. С. 13-24. doi
- Article Kazakov A., Ветчанин Е. В. Bifurcations and Chaos in the Dynamics of Two Point Vortices in an Acoustic Wave // International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2016. Vol. 26. No. 4. P. 1650063-1-1650063-13. doi
- Article Kazakov A., Levanova T., Osipov G. V., Kurths J. Dynamics of ensemble of inhibitory coupled Rulkov maps // European Physical Journal: Special Topics. 2016. Vol. 225. No. 1. P. 147-157. doi
- Article Kazakov A., Борисов А. В., Пивоварова Е. Н. Regular and Chaotic Dynamics in the Rubber Model of a Chaplygin Top // Regular and Chaotic Dynamics. 2016. Vol. 21. No. 7-8. P. 885-901. doi
- Article Kazakov A., Лерман Л. М., Кулагин Н. Е. Relaxation Oscillations and Chaos in a Duffing Type Equation: A Case Study // Discontinuity, Nonlinearity, and Complexity. 2016. Vol. 5. No. 4. P. 437-454.
- Article Борисов А. В., Kazakov A., Сатаев И. Р. Spiral Chaos in the Nonholonomic Model of a Chaplygin Top // Regular and Chaotic Dynamics. 2016. Vol. 21. No. 7-8. P. 939-954. doi
- Article Бизяев И. А., Борисов А. В., Казаков А. О. Динамика задачи Суслова в поле тяжести: реверс и странные аттракторы // Нелинейная динамика. 2016. Т. 12. № 2. С. 263-287. doi
- Article Сатаев И. Р., Казаков А. О. Сценарии перехода к хаосу в неголономной модели волчка Чаплыгина // Нелинейная динамика. 2016. Т. 12. № 2. С. 235-250. doi
- Article Bizyaev I. A., Borisov A. V., Kazakov A. Dynamics of the Suslov Problem in a Gravitational Field: Reversal and Strange Attractors // Regular and Chaotic Dynamics. 2015. Vol. 20. No. 5. P. 605-626. doi
- Article Kazakov A., Korotkov A., Osipov G. V. Sequential dynamics in motif of excitatory coupled elements // Regular and Chaotic Dynamics. 2015. Vol. 20. No. 6. P. 701-715. doi
- Article Kazakov A., Bolsinov A. V., Kilin A. A. Topological monodromy as an obstruction to Hamiltonization of nonholonomic systems // Journal of Geometry and Physics. 2015. Vol. 87. P. 61-75.
- Article Kazakov A., Gonchenko A. S., Gonchenko S. V., Turaev D. V. Simple Scenarios of Onset of Chaos in Three-Dimensional Maps // International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2014. Vol. 24. No. 8. P. 1440005-1440030.
- Article Kazakov A., Borisov A. V., Sataev I. R. The reversal and chaotic attractor in the nonholonomic model of Chaplygin’s top // Regular and Chaotic Dynamics. 2014. Vol. 19. No. 6. P. 718-733.
- Article Казаков А. О., Борисов А. В., Кузнецов С. П. Нелинейная динамика кельтского камня: Неголономная модель // Успехи физических наук. 2014. Т. 184. № 5. С. 493-500. doi
- Article Kazakov A., Lerman L. M., Kulagin N. Dynamical Features in a Slow-fast Piecewise Linear Hamiltonian System // Mathematical Modeling of Natural Phenomena. 2013. Vol. 8. No. 5. P. 155-172.
- Article Гонченко А. С., Гонченко С. В., Kazakov A. Richness of Chaotic Dynamics in Nonholonomic Models of a Celtic Stone // Regular and Chaotic Dynamics. 2013. Vol. 18. No. 5. P. 521-538.
- Article Kazakov A. Strange Attractors and Mixed Dynamics in the Problem of an Unbalanced Rubber Ball Rolling on a Plane // Regular and Chaotic Dynamics. 2013. Vol. 18. No. 5. P. 508-520.
Employment history
2010-2013, junior reseacher of the laboratory Nonlinear Analysis and the Design of New Types of Vehicles UDSU (Izhevsk)
2013-2015, junior reseacherк at Scientific research institute of Applied mathematics and cybernetics of Lobachevsky State University of Nizhni Novgorod)
since 2014 teacher at the chair of Control theory and dynamics of systems of Lobachevsky State University of Nizhni Novgorod.
since 2015, research worker, docent at HSE (N.Novgorod)
Neuroeconomical Research, Speech Tests for Neurosurgical Operations and New Discoveries in Mathematics
At the end of 2022, the results of the Project Competition in Basic Science Research for Intercampus Departments were announced. This was the inaugural competition, and focused on encouraging new research teams at HSE University and developing intercampus cooperation in the field of fundamental research. Here, HSE News Services looks at four winning projects.
'We Wanted to Create an Opportunity for Intercampus Teams to Engage in Promising Studies'
HSE University has announced the winners of the Project Competition in Basic Science Research for Intercampus Departments. The competition, which the university is organising for the first time, will provide funding to 10 research teams working on five topics. Four of the winning projects will be implemented by new research departments formed as a result of the competition.
Participation in the international conference of Mathematical centers
From August 9 to 13, the Sirius Center hosted an international conference of world-class mathematical centers, which was attended by employees of the International laboratory of dynamical systems and applications and the Department of Fundamental Mathematics, as well as students of the Faculty of Informatics of Mathematics and Computer Science.
Mini-symposium at the International Conference on Dynamical Systems
At the end of May 2021, researchers of the TMD laboratory N.V. Stankevich and the international DSPlaboratory Kazakov A.O. organized a mini-symposium within the framework of the internationalconference SIAM Conference on Applications of Dynamical Systems (DS21), held in a virtual format.
A trip to a conference "Nonlinear days in Saratov for young people"
At the end of the April of 2021 the staff of the international laboratory DSA and students of the Faculty of Informatics, Mathematics, and Computer Science took part in the conference in Saratov.
Article in magazine Chaos
Article of research assistant V.G. Chigarev, leading research fellow A.O. Kazakov and chief research fellow A. Pikovsky published in the journal "Chaos: An Interdisciplinary Journal of Nonlinear Science"
Collaboration with the HSE MIEM
About ongoing research
The conference "Quantization of Dissipative Chaos: Ideas and Means"
Since 16 to 20 of December 2019 senior researcher A.O. Kazakov, N.V. Stankevich and D. Turaev, scientific director of the Laboratory of Topological Methods in Dynamics participated in the international conference "Quantization of Dissipative Chaos: Ideas and Means", organized by the physical center of the city of Bad Honnef with the support of the Wilhelm and Else Heraeus Foundation.
Visit of laboratory staff to Spanish colleagues
From October, 20 to November, 2 laboratory staff Alexey Kazakov and Klim Safonov visited prof. Thomas Lazaro (Polytechnic University of Catalonia, Barcelona) and Arturo Vieiro (University of Barcelona).
International Conference «Dynamics, Equations and Applications 2019» (Kraków, Poland)
From September 16 to September 20, 2019 leading research fellow of Laboratory of Topological Methods in Dynamics and associate professor of the Department of Fundamental Mathematics A.O. Kazakov took part in conference organized by the Faculty of Applied Mathematics at the AGH University of Science and Technology to celebrate the 100th anniversary of the founding of the university
7th Bremen Summer School Symposium 'Dynamical Systems - Pure and Applied'
The staff of the Laboratory of Topological Methods in the Dynamics Alexey Kazakov and Evgeniya Samylina, as well as students of the Department of Fundamental Mathematics took part in the 7th Bremen Summer School Symposium «Dynamical systems - pure and applied» (Bremen, Germany) in August 5-9.
HSE Researchers Receive Grants in Russian Science Foundation Competitions
The Russian Science Foundation announced the results of its 2019 competitions for support from the Presidential Research Project Programme. One competition was for grants in support of research initiatives by early career researchers, and another was in support of research conducted by research groups headed by early career scholars.
Staff of the International Laboratory of Topological Methods in Dynamics won a competition of the RSF
The research team led by A.O. Kazakov a staff of the International Laboratory of Topological Methods in Dynamics won a grant from the Russian Science Foundation in the competition «Research by research teams under the guidance of young scientists».
Awards of Researchers of the Laboratory of TMD
Researches of the laboratory of Topological Methods in Dynamics won a grant
The conference “Volga Neuroscience Meeting 2018”
Kazakov A. gave a talk on "Spiral attractors as the root of a new type of “bursting activity” in the three-spicies food chain model".
International Conference-School Dynamics, Bifurcations and Chaos 2018 (DBC V)
From July 16 till 20 an international school-conference took place in Nyzhny Novgorod.
Staff of the Laboratory of TMD presented lectures at the conference on differential equations and dynamical systems.
The conference took place in July from 6 till 11, 2018, in Suzdal city of Vladimir region.
Victory of young laboratory workers.
Congratulations to 2 scientific staff of the Laboratory "Topological Methods in Dynamics", which won the RFFI grants in the competition of scientific projects performed by young scientists (My first grant)Both grants are designed for 2 years, the size of one grant is 500,000 rubles per year.