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Oleksandr
Sharkovsky created the foundations of the topological theory of one-dimensional dynamic systems, a theory that today is one of the tools for researching evolutionary problems of the most diverse nature. He discovered the law of coexistence of periodic trajectories of different periods; the
430:
The
Ukrainian scientist devoted a lot of energy and time to developing scientific relations. He gave lectures at universities and scientific centers in more than 20 countries in Europe and America, and at universities in China and Australia. He was a member of the editorial boards of a number of
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O. M. Sharkovsky actively combines scientific work with pedagogical activity. From the mid-60s of the 20th century. gave general courses and lectures on the theory of dynamic systems at the mechanical and mathematical faculty of his native university. O. M. Sharkovsky is the author of almost 250
423:" — a new mathematical phenomenon in deterministic systems that models the most complex properties of turbulence in time and space, namely: the processes of the formation of coherent structures of decreasing scales and the birth of random states.
389:
The achievements of the
Ukrainian scientist received general recognition in international scientific circles. The formation and development of chaotic dynamics are associated with his name. In the scientific literature, you can find such terms as
335:", when eighth-grader Oleksandr Sharkovsky became the winner of the Kyiv Mathematical Olympiad for schoolchildren. By his first year in Kyiv National University, he had already written his first scientific work. After graduating with honors from
1903:
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topological structure of basins of attraction of various sets is investigated; a number of criteria of simplicity and complexity of dynamic systems were obtained. O. M. Sharkovsky also contributed fundamental results in
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with an early defense of his candidate's thesis (1961). Soon thereafter, in 1967, he defended his doctoral thesis. In 1978, O. M. Sharkovsky was elected a corresponding member of the
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scientific works, including five monographs written in co-authorship with students. Among the students are 3 doctors and 14 candidates of sciences.
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international mathematical publications, in particular, he was a co-editor of the journal "Journal of
Difference Equations and Applications" (USA).
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is associated with initiating a new direction in the theory of dynamical systems — combinatorial dynamics. In 1994, an international conference
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323:(2006). Prize laureate of the National Academy of Sciences of Ukraine named after M. M. Bogolyubov and M. O. Lavretiev.
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for the series of works "The theory of scattering of quantum systems and one-dimensional dynamical systems" (1993)
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438:(Ukrainian Mathematical Journal) in January 2023 and translated in July 2023 with publication in Springer Link.
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for the cycle of scientific works "Theory of dynamic systems: modern methods and their application" (2010)
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for a series of papers "Complex dynamic finite-dimensional and infinite-dimensional systems" (2005)
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Honorary doctorate Doctor
Honoris Causa (Dr. h. c.) from the Silesian University in Opava
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O.M. Sharkovskyi, O.M. Sharkovskii, O.M. Sharkovskyy, O.M. Šarkovskii, O.M. Sharkovs’kyi
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2003 IEEE International
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The first prize of the Kyiv
Olympiad of Young Mathematicians (1951), the magazine "
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581:"Uspekhi Matematicheskikh Nauk (eng. "Russian Mathematical Surveys"), 7, 1952"
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Research conducted by O. M. Sharkovsky allowed him to propose the concept of "
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In 1952, Sharkovsky's name appeared in the mathematical world - the magazine "
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His last paper "Descriptive theory of determined chaos" was published in the
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Sharkovsky, A. N.; Kolyada, S. F.; Sivak, A. G.; Fedorenko, V. V. (1997).
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Bernd
Aulbach Prize of the International Society of Difference Equations
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Institute of
Mathematics of the National Academy of Sciences of Ukraine
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Institute of
Mathematics of the National Academy of Sciences of Ukraine
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678:"Шарковський Олександр Миколайович - Інститут математики НАН України"
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Some questions in the theory of one-dimensional iterative processes
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Academic staff of the Taras Shevchenko National University of Kyiv
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O.M. Sharkovsky died on 21 November 2022, at the age of 85 in the
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The Mitropolskiy Prize of National Academy of Sciences of Ukraine
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The Lavrentyev Prize of National Academy of Sciences of Ukraine
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The Bogoliubov Prize of National Academy of Sciences of Ukraine
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Sharkovsky, A.; Romanenko, E.; Berezovsky, S. (August 2003).
702:"Oleksandr Mykolayovych Sharkovsky (07.12.1936 – 21.11.2022)"
613:"Sharkovsky O.M. - Institute of Mathematics, NAS of Ukraine"
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Institute of Mathematics of the National Academy of Sciences
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Full Members of the National Academy of Sciences of Ukraine
297:; 7 December 1936 – 21 November 2022) was a Soviet and
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he successfully completed postgraduate studies at the
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Taras Shevchenko National University of Kyiv alumni
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758:Sharkovsky, Aleksandr Nikolayevich (2008-05-12).
812:"Sharkovsky ordering and combinatorial dynamics"
467:State Prize of Ukraine in Science and Technology
354:In 2006, Sharkovsky became a full member of the
1012:Sharkovsky Oleksandr Mykolayovych memorial page
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660:"Oleksandr Mikolaiovich Sharkovsky biography"
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337:Taras Shevchenko National University of Kyiv
160:Taras Shevchenko National University of Kyiv
971:"Descriptive Theory of Deterministic Chaos"
922:"Дескриптивна теорія детермінованого хаосу"
662:. University of St. Andrews. Archived from
565:Alexander Sharkovsky, Mathematics genealogy
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830:"Ideal turbulence: Definition and models"
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317:Academy of Sciences of the Ukrainian SSR
1037:MacTutor History of Mathematics archive
1016:Institute of Mathematics NAS of Ukraine
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356:National Academy of Sciences of Ukraine
321:National Academy of Sciences of Ukraine
836:. Vol. 1. pp. 23–30 vol.1.
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1207:Measure-preserving dynamical system
295:Олекса́ндр Миколайович Шарко́вський
27:Ukrainian mathematician (1936–2022)
810:Sharkovsky, A.N. (November 2019).
658:O'Connor, J. J.; Robertson, E. F.
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1775:Oleksandr Mykolayovych Sharkovsky
1033:Oleksandr Mikolaiovich Sharkovsky
926:Ukrains'kyi Matematychnyi Zhurnal
436:Ukrains’kyi Matematychnyi Zhurnal
386:on arbitrary topological spaces.
349:Ukrainian SSR Academy of Sciences
287:Oleksandr Mykolayovych Sharkovsky
18:Oleksandr Mikolaiovich Sharkovsky
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969:Sharkovsky, O. M. (2023-05-01).
873:Sharkovsky, A. N. (2006-06-01).
726:Dynamics of One-Dimensional Maps
319:(1978), and academician of the
1540:Rabinovich–Fabrikant equations
975:Ukrainian Mathematical Journal
1:
1028:Mathematics Genealogy Project
341:NASU Institute of Mathematics
32:Eastern Slavic naming customs
920:Sharkovs’kyi, О. М. (2022).
449:Russian Mathematical Surveys
333:Russian Mathematical Surveys
1275:Poincaré recurrence theorem
842:10.1109/PHYCON.2003.1236779
404:Sharkovsky's stratification
371:Feofaniya Clinical Hospital
304:most famous for developing
1920:
1270:Poincaré–Bendixson theorem
987:10.1007/s11253-023-02180-z
639:. Institute of Mathematics
310:discrete dynamical systems
30:In this name that follows
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1622:Swinging Atwood's machine
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1265:Krylov–Bogolyubov theorem
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939:10.37863/umzh.v74i12.6515
891:10.1007/s11071-006-1931-7
785:10.4249/scholarpedia.1680
735:10.1007/978-94-015-8897-3
704:. imath. 22 November 2022
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1889:Ukrainian mathematicians
1530:Lotka–Volterra equations
1354:Synchronization of chaos
1157:axiom A dynamical system
481:, Czech Republic (2014).
384:dynamical systems theory
149:Soviet Union (1936-1991)
63:
1515:Double scroll attractor
1280:Stable manifold theorem
1187:False nearest neighbors
637:"Sharkovsky, Oleksandr"
1555:Van der Pol oscillator
1535:Mackey–Glass equations
1167:Box-counting dimension
1705:Svetlana Jitomirskaya
1612:Multiscroll attractor
1457:Interval exchange map
1410:Dyadic transformation
1395:Complex quadratic map
1237:Topological conjugacy
1172:Correlation dimension
1147:Anosov diffeomorphism
760:"Sharkovsky ordering"
396:Sharkovsky's ordering
64:Олександр Шарковський
1884:Scientists from Kyiv
1715:Edward Norton Lorenz
1024:Oleksandr Sharkovsky
666:on November 9, 2019.
410:Sharkovsky's theorem
392:Sharkovsky's theorem
306:Sharkovsky's theorem
203:Mathematical physics
199:difference equations
170:Sharkovsky's theorem
57:Oleksandr Sharkovsky
1675:Mitchell Feigenbaum
1617:Population dynamics
1602:Hénon–Heiles system
1462:Irrational rotation
1415:Dynamical billiards
1400:Coupled map lattice
1260:Liouville's theorem
1192:Hausdorff dimension
1177:Conservative system
1162:Bifurcation diagram
776:2008SchpJ...3.1680S
151:Ukraine (1991-2022)
1853:Santa Fe Institute
1720:Aleksandr Lyapunov
1550:Three-body problem
1437:Gingerbreadman map
1324:Bifurcation theory
1202:Lyapunov stability
879:Nonlinear Dynamics
875:"Ideal Turbulence"
400:Sharkovsky's space
308:on the periods of
245:Yurii Mitropolskiy
76:Sharkovsky in 2006
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1725:Benoît Mandelbrot
1690:Martin Gutzwiller
1680:Peter Grassberger
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1545:Rössler attractor
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1197:Invariant measure
1119:Lyapunov exponent
981:(12): 1950–1960.
932:(12): 1709–1718.
744:978-90-481-4846-2
451:", (UMS, 7, 1952)
442:Awards and prizes
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251:Doctoral students
191:Dynamical systems
177:Scientific career
16:(Redirected from
1911:
1833:Butterfly effect
1745:Itamar Procaccia
1695:Brosl Hasslacher
1592:Elastic pendulum
1520:Duffing equation
1467:Kaplan–Yorke map
1385:Arnold's cat map
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1349:Stability theory
1334:Dynamical system
1329:Control of chaos
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1217:Poincaré section
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97:
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68:
61:
54:
49:
45:
42: and the
41:
37:
33:
19:
1795:Mary Tsingou
1760:David Ruelle
1755:Otto Rössler
1700:Michel Hénon
1670:Leon O. Chua
1627:Tilt-A-Whirl
1597:FPUT problem
1482:Standard map
1477:Logistic map
1302:
1076:Chaos theory
978:
974:
964:
929:
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915:
885:(1): 15–27.
882:
878:
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764:Scholarpedia
763:
753:
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718:
706:. Retrieved
696:
685:. Retrieved
681:
672:
664:the original
653:
641:. Retrieved
631:
620:. Retrieved
616:
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521:
517:
516:, sometimes
514:Sharkovs’kyi
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255:Iryna Sushko
228:
213:Institutions
195:Differential
176:
116:(2022-11-21)
104:Soviet Union
47:
40:Mykolayovych
39:
1879:2022 deaths
1874:1936 births
1780:Nina Snaith
1770:Yakov Sinai
1655:Rufus Bowen
1405:Duffing map
1390:Baker's map
1315:Theoretical
1227:SRB measure
1134:Phase space
1104:Bifurcation
770:(5): 1680.
708:22 November
510:Sharkovskyy
506:Sharkovskyi
187:Mathematics
146:Citizenship
130:Nationality
44:family name
1868:Categories
1838:Complexity
1735:Edward Ott
1582:Convection
1507:Continuous
1182:Ergodicity
687:2023-01-19
622:2023-01-19
551:/~asharkov
531:References
522:Sarkovskii
518:Šarkovskii
276:/~asharkov
88:1936-12-07
48:Sharkovsky
36:patronymic
1750:Mary Rees
1710:Bryna Kra
1643:theorists
1452:Ikeda map
1442:Hénon map
1432:Gauss map
1114:Limit set
1099:Attractor
995:1573-9376
956:256155036
948:1027-3190
907:195068450
899:1573-269X
860:122863918
794:1941-6016
373:in Kyiv.
312:in 1964.
299:Ukrainian
291:Ukrainian
133:Ukrainian
1826:articles
1568:Physical
1487:Tent map
1377:Discrete
1317:branches
1247:Theorems
1083:Concepts
643:June 29,
406:, etc.
207:Topology
1824:Related
1632:Weather
1570:systems
1363:Chaotic
1109:Fractal
1035:at the
1026:at the
1014:at the
772:Bibcode
265:Website
123:Ukraine
1730:Hee Oh
1365:maps (
1212:Mixing
993:
954:
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475:(2011)
233:(1961)
231:
224:Thesis
183:Fields
121:Kyiv,
34:, the
1641:Chaos
1420:outer
1124:Orbit
952:S2CID
903:S2CID
856:S2CID
815:(PDF)
584:(PDF)
547:.kiev
545:imath
504:also
492:Notes
272:.kiev
270:imath
1367:list
1091:Core
991:ISSN
944:ISSN
895:ISSN
846:ISBN
790:ISSN
739:ISBN
710:2022
645:2013
197:and
111:Died
96:Kyiv
82:Born
983:doi
934:doi
887:doi
838:doi
780:doi
731:doi
549:.ua
520:or
274:.ua
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