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Periodic point information


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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Periodic point

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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...

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Attractor

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of the ideal pendulum, near any point of a periodic orbit there is another point that belongs to a different periodic orbit, so the former orbit is not...

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Periodic table

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The periodic table, also known as the periodic table of the elements, is an ordered arrangement of the chemical elements into rows ("periods") and columns...

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Periodicity

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Look up periodicity or periodic in Wiktionary, the free dictionary. Periodicity or periodic may refer to: Bott periodicity theorem, addresses Bott periodicity:...

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Periodic sequence

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In mathematics, a periodic sequence (sometimes called a cycle or orbit) is a sequence for which the same terms are repeated over and over: a1, a2, ......

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Periodic points of complex quadratic mappings

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complex numbers. A periodic point of a map is a value of the variable that occurs repeatedly after intervals of a fixed length. These periodic points play a...

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Classification of Fatou components

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a periodic component U {\displaystyle U} of the Fatou set, exactly one of the following holds: U {\displaystyle U} contains an attracting periodic point...

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Saddle point

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period of the point) has no eigenvalue on the (complex) unit circle when computed at the point. Then a saddle point is a hyperbolic periodic point whose stable...

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Types of periodic tables

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the periodic law in 1871, and published an associated periodic table of chemical elements, authors have experimented with varying types of periodic tables...

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Periodic abstinence

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associated with the title Periodic abstinence. If an internal link led you here, you may wish to change the link to point directly to the intended article...

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Homoclinic orbit

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\}} A periodic point of the system is simply a recurring sequence of letters. A heteroclinic orbit is then the joining of two distinct periodic orbits...

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List of chemical elements

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visualisation of all 118 elements is the periodic table of the elements, whose history along the principles of the periodic law was one of the founding developments...

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Horseshoe map

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exponentially with the period; and close to any point of the fractal invariant set there is a point of a periodic orbit. The horseshoe map  f  is a diffeomorphism...

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Dynamical system

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discrete dynamical system on the real line has a periodic point of period 3, then it must have periodic points of every other period. In the late 20th century...

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Chemical elements in East Asian languages

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Korean Interactive table in Vietnamese English-Chinese periodic table of elements The Chinese Periodic Table: A Rosetta Stone for Understanding the Language...

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History of the periodic table

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The periodic table is an arrangement of the chemical elements, structured by their atomic number, electron configuration and recurring chemical properties...

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Narcissistic number

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guaranteed to reach a periodic point or a fixed point less than b k − 1 {\displaystyle b^{k}-1} , making it a preperiodic point. Setting b {\displaystyle...

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Stable manifold

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{\displaystyle X} . If p {\displaystyle p} is a periodic point of least period k {\displaystyle k} , then it is a fixed point of f k {\displaystyle f^{k}} , and the...

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Bifurcation theory

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entirely through changes in the local stability properties of equilibria, periodic orbits or other invariant sets as parameters cross through critical thresholds;...

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Doubly periodic function

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In mathematics, a doubly periodic function is a function defined on the complex plane and having two "periods", which are complex numbers u and v that...

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Extended periodic table

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Extended periodic table Element 119 (Uue, marked here) in period 8 (row 8) marks the start of theorisations. An extended periodic table theorizes about...

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List of mathematical properties of points

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Non-singular point Normal point Parshin point Periodic point Pinch point Point (geometry) Point source Rational point Recurrent point Regular point, Regular...

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Limit cycle

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equation. Such a trajectory is called closed (or periodic) if it is not constant but returns to its starting point, i.e. if there exists some t 0 > 0 {\displaystyle...

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Periodic graph

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Periodic graph may refer to: Periodic graph (crystallography) or crystal net, a Euclidean graph representing the atomic or molecular structure of a crystal...

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