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Quasiperiodicity information


Quasiperiodicity is the property of a system that displays irregular periodicity. Periodic behavior is defined as recurring at regular intervals, such as "every 24 hours".[1] Quasiperiodic behavior is a pattern of recurrence with a component of unpredictability that does not lend itself to precise measurement.[2][failed verification] It is different from the mathematical concept of an almost periodic function, which has increasing regularity over multiple periods.

  1. ^ Periodicity – Definition and More from the Free Merriam-Webster Dictionary
  2. ^ Quasiperiodic – Definition and More from the Free Merriam-Webster Dictionary

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Quasiperiodicity

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Quasiperiodicity is the property of a system that displays irregular periodicity. Periodic behavior is defined as recurring at regular intervals, such...

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Quasiperiodic function

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consulted. The more vague and general notion of quasiperiodicity has even less to do with quasiperiodic functions in the mathematical sense. A useful example...

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Quasiperiodic motion

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Sidorov Sergey; Alexandrovich, Magnitskii Nikolai. New Methods For Chaotic Dynamics. World Scientific. pp. 23–24. ISBN 9789814477918. Quasiperiodicity...

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Quasiperiodic tiling

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A quasiperiodic tiling is a tiling of the plane that exhibits local periodicity under some transformations: every finite subset of its tiles reappears...

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Quasicrystal

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A quasiperiodic crystal, or quasicrystal, is a structure that is ordered but not periodic. A quasicrystalline pattern can continuously fill all available...

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Periodicity

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periodicity, a concept in generally accepted accounting principles Quasiperiodicity, property of a system that displays irregular periodicity Aperiodic...

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Earth

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motion has multiple, cyclical components, which collectively are termed quasiperiodic motion. In addition to an annual component to this motion, there is...

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8

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wolfram.com. Retrieved 25 June 2022. Katz, A (1995). "Matching rules and quasiperiodicity: the octagonal tilings". In Axel, F.; Gratias, D. (eds.). Beyond quasicrystals...

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Theta function

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associated elliptic functions, making it a quasiperiodic function. In the abstract theory this quasiperiodicity comes from the cohomology class of a line...

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James Webb Space Telescope

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Timeline of the James Webb Space Telescope Libration point orbit – Quasiperiodic orbit around a Lagrange point List of deep fields List of largest infrared...

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Oscillation

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unevenly spaced data Oscillator phase noise Periodic function Phase noise Quasiperiodicity Reciprocating motion Resonator Rhythm Seasonality Self-oscillation...

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Golden ratio

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Although at the time of the discovery of quasicrystals the theory of quasiperiodic functions had been known for nearly sixty years, it was the mathematics...

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Pitch detection algorithm

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algorithm designed to estimate the pitch or fundamental frequency of a quasiperiodic or oscillating signal, usually a digital recording of speech or a musical...

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Graphene

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Felipe C. (April 2020). "Suppression of coherent thermal transport in quasiperiodic graphene-hBN superlattice ribbons". Carbon. 160: 335–341. arXiv:2001...

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Strange nonchaotic attractor

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addition to periodic or quasiperiodic motion, they can exhibit chaotic or nonchaotic motion on strange attractors. Although quasiperiodic forcing is not necessary...

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Dan Shechtman

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Shechtman discovered the icosahedral phase, which opened the new field of quasiperiodic crystals. He was awarded the 2011 Nobel Prize in Chemistry for the discovery...

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Ocean

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surface currents. Tidal currents are in phase with the tide, hence are quasiperiodic; associated with the influence of the moon and sun pull on the ocean...

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Seasonality

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longer (e.g., decadal) or much shorter (e.g., weekly) than seasonal. A quasiperiodicity is a more general, irregular periodicity. Box–Jenkins method Oscillation...

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Climate variability and change

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recurring cyclical oscillation within global or regional climate. They are quasiperiodic (not perfectly periodic), so a Fourier analysis of the data does not...

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Periodic function

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data Periodic sequence Periodic summation Periodic travelling wave Quasiperiodic function Seasonality Secular variation Wavelength List of periodic functions...

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Standard map

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periodic and quasiperiodic orbits are possible. When plotted in phase space (the θ–p plane), periodic orbits appear as closed curves, and quasiperiodic orbits...

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Almost periodic function

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x ( t )   {\displaystyle x(t)\ } is not quasiperiodic. Quasiperiodic function Aperiodic function Quasiperiodic tiling Fourier series Additive synthesis...

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Attractor

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here is a 2-torus: A time series corresponding to this attractor is a quasiperiodic series: A discretely sampled sum of Nt periodic functions (not necessarily...

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Atlantic Equatorial mode

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The Atlantic Equatorial Mode or Atlantic Niño is a quasiperiodic interannual climate pattern of the equatorial Atlantic Ocean. It is the dominant mode...

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Topological data analysis

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1007/s00454-013-9497-x. ISSN 0179-5376. S2CID 17407953. Sergey P. Novikov, Quasiperiodic structures in topology[C]//Topological methods in modern mathematics...

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Libration point orbit

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In orbital mechanics, a libration point orbit (LPO) is a quasiperiodic orbit around a Lagrange point. Libration is a form of orbital motion exhibited...

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Faraday wave

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take the form of stripes, close-packed hexagons, or even squares or quasiperiodic patterns. Faraday waves are commonly observed as fine stripes on the...

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