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Dynamical system and Sharkovskii's theorem

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Dynamical system and Sharkovskii's theorem

Dynamical system vs. Sharkovskii's theorem

In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in a geometrical space. In mathematics, Sharkovskii's theorem, named after Oleksandr Mykolaiovych Sharkovskii who published it in 1964, is a result about discrete dynamical systems.

Similarities between Dynamical system and Sharkovskii's theorem

Dynamical system and Sharkovskii's theorem have 13 things in common (in Unionpedia): American Mathematical Society, Arnold tongue, Bifurcation diagram, Chaos theory, Dynamical system (definition), Iterated function, James A. Yorke, Logistic map, Mathematics, Oleksandr Mykolayovych Sharkovsky, Periodic point, Providence, Rhode Island, Real line.

American Mathematical Society

The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.

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Arnold tongue

In mathematics, particularly in dynamical systems theory, an Arnold tongue is a phase-locked or mode-locked region in a driven (kicked) weakly-coupled harmonic oscillator.

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Bifurcation diagram

In mathematics, particularly in dynamical systems, a bifurcation diagram shows the values visited or approached asymptotically (fixed points, periodic orbits, or chaotic attractors) of a system as a function of a bifurcation parameter in the system.

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Chaos theory

Chaos theory is a branch of mathematics focusing on the behavior of dynamical systems that are highly sensitive to initial conditions.

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Dynamical system (definition)

The dynamical system concept is a mathematical formalization for any fixed "rule" which describes the time dependence of a point's position in its ambient space.

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Iterated function

In mathematics, an iterated function is a function (that is, a function from some set to itself) which is obtained by composing another function with itself a certain number of times.

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James A. Yorke

James A. Yorke (born August 3, 1941) is a Distinguished University Research Professor of Mathematics and Physics and former chair of the Mathematics Department at the University of Maryland, College Park.

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Logistic map

The logistic map is a polynomial mapping (equivalently, recurrence relation) of degree 2, often cited as an archetypal example of how complex, chaotic behaviour can arise from very simple non-linear dynamical equations.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Oleksandr Mykolayovych Sharkovsky

Oleksandr Mykolayovych Sharkovsky (also Sharkovskii) (Олекса́ндр Миколайович Шарко́вський) (born December 7, 1936) is a prominent Ukrainian mathematician most famous for developing Sharkovsky's theorem on the periods of discrete dynamical systems in 1964.

Dynamical system and Oleksandr Mykolayovych Sharkovsky · Oleksandr Mykolayovych Sharkovsky and Sharkovskii's theorem · See more »

Periodic point

In mathematics, in the study of iterated functions and dynamical systems, a periodic point of a function is a point which the system returns to after a certain number of function iterations or a certain amount of time.

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Providence, Rhode Island

Providence is the capital and most populous city of the U.S. state of Rhode Island and is one of the oldest cities in the United States.

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Real line

In mathematics, the real line, or real number line is the line whose points are the real numbers.

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The list above answers the following questions

Dynamical system and Sharkovskii's theorem Comparison

Dynamical system has 141 relations, while Sharkovskii's theorem has 20. As they have in common 13, the Jaccard index is 8.07% = 13 / (141 + 20).

References

This article shows the relationship between Dynamical system and Sharkovskii's theorem. To access each article from which the information was extracted, please visit:

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