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{{Short description|Trending periodic processes}} ...nary process]]es) are a type of cyclostationary process that exhibits both periodic behavior and a statistical trend. The trend can be linear or nonlinear, and ...

...y, quantum features of scattering atoms, as well as numerous other quantum phenomena. Though a pendulum not subject to the small-angle approximation has an inh ...>a_n(q), b_n(q)</math>, where <math>n</math> is a [[natural number]]. The periodic special cases of the Mathieu cosine and sine functions are often written <m ...

...hematics]] 106 (1977), 469–516) and ''Localization with respect to certain periodic homology theories'' ([[American Journal of Mathematics]] 106 (1984), 351–41 ...cohomology of the Morava stabilizer group, which exhibits certain periodic phenomena in the Adams–Novikov spectral sequence and can be seen as the beginning of ...

...[[mathematician]] [[Peter Gustav Lejeune Dirichlet]], is the collection of periodic functions defined as where {{mvar|n}} is any [[nonnegative integer]]. The kernel functions are periodic with period <math>2\pi</math>. ...

...imization (SPO) algorithm''' is a [[metaheuristic]] inspired by [[spiral]] phenomena in nature. There are effective settings for the SPO algorithm: the periodic descent direction setting<ref name="tamura16a" /> ...

...ibrations, cardiac cells, and spiking neurons are examples of [[rhythm]]ic phenomena, and can be considered as nonlinear limit cycle oscillators.<ref name="Naka ...01}}</ref> Since then, many researchers have discovered different rhythmic phenomena related to phase reduction theory. ...

...dx.doi.org/10.1016%2F0167-2789%2888%2990081-4|journal=Physica D: Nonlinear Phenomena|language=en|volume=31|issue=2|pages=277–283|doi=10.1016/0167-2789(88)90081- ...ect.com/science/article/pii/S0167278919303859|journal=Physica D: Nonlinear Phenomena|language=en|volume=402|pages=132265|doi=10.1016/j.physd.2019.132265|arxiv=1 ...

...enodo.org/record/1431005 }}</ref> When a [[plane wave]] is incident upon a periodic [[diffraction grating]], the image of the grating is repeated at regular di .../14786448108626995|title=XXV. On copying diffraction-gratings, and on some phenomena connected therewith |year=1881 |last1=Rayleigh |first1=Lord |journal=The Lo ...

...hinsky equation can also be generalized to higher dimensions. In spatially periodic domains, one possibility is ...frame that is moving with constant relative velocity <math>c</math>. On a periodic domain, the equation also has a [[reflection symmetry]]: if <math>u(x,t)</m ...

...equently, it is a special type of spatiotemporal [[oscillation]] that is a periodic function of both space and time. Periodic travelling waves play a fundamental role in many mathematical equations, in ...

...-0779%2893%29E0056-H |journal=Chaos, Solitons & Fractals |series=Nonlinear Phenomena in Excitable Physiological Systems |language=en |volume=5 |issue=3 |pages=4 == Chaotic and periodic behavior for a neuron == ...

...classical particles with nearest neighbor interactions and subjected to a periodic on-site substrate potential.<ref name=":1">{{cite journal |date=1998 |title ...ics due to its applicability to describe many physical phenomena. Physical phenomena that can be modeled by FK model include dislocations, the dynamics of [[Ads ...

{{short description|Phenomenon whereby deviations from a periodic waveform are reinforced by nonlinearity}} ...'' or '''sideband instability''' is a phenomenon whereby deviations from a periodic waveform are reinforced by nonlinearity, leading to the generation of [[Fre ...

..., such as with the forced [[harmonic oscillator]]. The [[periodic function|periodic]] transition between the different states is called [[Rabi cycle]] and the [[Spin angular momentum]] allows magnetic resonance phenomena to be explained via classical physics. When viewed from the reference frame ...

...antum field theory]] and elsewhere for the exploration of various physical phenomena or mathematical properties since it permits in many cases explicit calculat ...1=Liang | first1=Jiu-Qing | last2=Müller-Kirsten | first2=H. J. W. | title=Periodic instantons and quantum-mechanical tunneling at high energy | journal=Physic ...

...conduction and thermal resonances in a cylindrical solid carrying a steady periodic electric field |journal= International Journal of Heat and Mass Transfer|vo [[Category:Transport phenomena]] ...

...n (is the wave damped?), combined with a theoretical modelling of the wave phenomena ([[dispersion relation]]s, evolutionary equations, etc.), may reflect physi ...ressible]], but could nevertheless be observed with imaging instruments as periodic standing or propagating displacements of coronal structures, e.g. [[coronal ...

...01073 Three Waves of Chemical Dynamics], Mathematical Modelling of Natural Phenomena 10(5) (2015), 1–5.</ref> These eras may be associated with leaders: the fir * The Semenov-Hinshelwood focus was an explanation of critical phenomena observed in many chemical systems, in particular in flames. A concept [[cha ...

|title=Nonlinear Periodic Waves and their Modulations ...er, I. P. (1966). Physics of shock waves and high-temperature hydrodynamic phenomena (Vol. 1). Academic Press.</ref><ref>Courant, R., & Friedrichs, K. O. 1948 S ...

...ion that the probability density is enhanced in the neighborhood of stable periodic orbits. The latter can be understood as a purely classical phenomenon, a ma ...cars can therefore be considered as an eigenstate counterpart of how short periodic orbits provide corrections to the universal spectral statistics of the [[Ra ...