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- Sharkovsky theorem
- Oleksandr Mykolayovych Sharkovsky was a Ukrainian mathematician most famous for developing Sharkovsky's theorem on the periods of discrete dynamical systems in 1964.
- Oleksandr Sharkovsky was a Ukrainian mathematician who made contributions to the theory of discrete dynamical systems.
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Evil-doer
Full Name
Vladimir Sharkovsky
Occupation
Wealthy criminal mastermind and businessman
Powers / Skills
Strength
intelligence
resourcefulness
Goals
To keep his involvement in the destruction of Estrov a secret
Crimes
Enslavement
Battery
Attempted Enforced Suicide
Genocide
Type of Villain
Misanthropic Egomaniac
Biography[]
Vladimir's date of birth is unknown. He is an extremely rich, pitiless and powerful businessman - a multimillionaire. He is also infamous for his constant criminal dealings: in Russian Roulette, he invested in the production of military-grade anthrax, and when something went wrong at the factory that would risk reveali
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Here you can find his CV, bibliography and useful links to his work.
e-mail: o.sharkovsky@gmail.com
Wikipedia link:
Education:
1953-1958 - Kyiv National Taras Shevchenko's University,
Faculty of Mechanics and Mathematics, Kyiv;
1958-1961 - Institute of Mathematics of National Academy of Sciences of Ukraine,
Postgraduate Studies, Kyiv.
Academic Qualification:
- Candidate of Sciences (Ph.D.) in Mathematics (1961), thesis: "Some problems of the theory of one-dimensional iterative processes";
- Doctor of Sciences in Mathematics (1967), thesis: "On omega-limit sets of the discrete dynamical systems";
- Corresponding Member of Ukrainian Academy of Sciences (1978);
- Member of National Academy of Sciences of Ukraine (2006).
Research Field:
Mathematics - Dynamical systems, Differential and difference equations, Mathematical physics, Topology.
Employment History:
1961-2022: Institute of Mathematics, National Academy of Sciences of Ukraine(Kyiv, Tereshchenkivs'ka str.3),
Junio
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Sharkovskii's theorem
Mathematical rule
In mathematics, Sharkovskii's theorem (also spelled Sharkovsky, Sharkovskiy, Šarkovskii or Sarkovskii), named after Oleksandr Mykolayovych Sharkovsky, who published it in 1964, is a result about discrete dynamical systems.[1] One of the implications of the theorem is that if a discrete dynamical system on the real line has a periodic point of period 3, then it must have periodic points of every other period.
Statement
For some interval, suppose that is a continuous function. The number is called a periodic point of period if , where denotes the iterated function obtained by composition of copies of . The number is said to have least period if, in addition, for all . Sharkovskii's theorem concerns the possible least periods of periodic points of . Consider the following ordering of the positive integers, sometimes called the Sharkovskii ordering:[2]
It consists of:
This ordering is a total order: every positive integer appears exactly once somewhere on this list. However, it is not a
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