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Journal articles on the topic 'Quasiperiodic media'

Author: Grafiati

Published: 1 June 2024

Last updated: 31 July 2025

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1

Kohmoto, Mahito, Bill Sutherland, and K. Iguchi. "Localization of optics: Quasiperiodic media." Physical Review Letters 58, no. 23 (1987): 2436–38. http://dx.doi.org/10.1103/physrevlett.58.2436.

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2

Schwartz, Ira B., Ioana Triandaf, Joseph M. Starobin, and Yuri B. Chernyak. "Origin of quasiperiodic dynamics in excitable media." Physical Review E 61, no. 6 (2000): 7208–11. http://dx.doi.org/10.1103/physreve.61.7208.

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3

Gupta, S. Dutta, and Deb Shankar Ray. "Localization problem in optics: Nonlinear quasiperiodic media." Physical Review B 41, no. 12 (1990): 8047–53. http://dx.doi.org/10.1103/physrevb.41.8047.

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4

Chernikov, A. A., and A. V. Rogalsky. "Stochastic webs and continuum percolation in quasiperiodic media." Chaos: An Interdisciplinary Journal of Nonlinear Science 4, no. 1 (1994): 35–46. http://dx.doi.org/10.1063/1.166055.

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5

Golden, K., S. Goldstein, and J. L. Lebowitz. "Discontinuous behavior of effective transport coefficients in quasiperiodic media." Journal of Statistical Physics 58, no. 3-4 (1990): 669–84. http://dx.doi.org/10.1007/bf01112770.

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6

Badalyan, V. D. "Propagation of electromagnetic waves in one-dimensional quasiperiodic media." Astrophysics 49, no. 4 (2006): 538–42. http://dx.doi.org/10.1007/s10511-006-0052-9.

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7

Sedrakian, D. M., A. A. Gevorgyan, A. Zh Khachatrian, and V. D. Badalyan. "Dissipation of electromagnetic waves in one-dimensional quasiperiodic media." Astrophysics 50, no. 1 (2007): 87–93. http://dx.doi.org/10.1007/s10511-007-0010-1.

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8

Salat, A. "Localization of modes in media with a simple quasiperiodic modulation." Physical Review A 45, no. 2 (1992): 1116–21. http://dx.doi.org/10.1103/physreva.45.1116.

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9

Gorelik, Vladimir, Dongxue Bi, Natalia Klimova, Svetlana Pichkurenko, and Vladimir Filatov. "The electromagnetic field distribution in the 1D layered quasiperiodic dispersive media." Journal of Physics: Conference Series 1348 (December 2019): 012060. http://dx.doi.org/10.1088/1742-6596/1348/1/012060.

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10

Mathieu-Potvin, François. "The method of quasiperiodic fields for diffusion in periodic porous media." Chemical Engineering Journal 304 (November 2016): 1045–63. http://dx.doi.org/10.1016/j.cej.2016.06.045.

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11

Mangababu, A., Dipanjan Banerjee, Kanaka Ravi Kumar, R. Sai Prasad Goud, Venugopal Rao Soma, and S. V. S. Nageswara Rao. "Comparative study of GaAs nanostructures synthesized in air and distilled water by picosecond pulsed laser ablation and application in hazardous molecules detection." Journal of Laser Applications 34, no. 3 (2022): 032014. http://dx.doi.org/10.2351/7.0000750.

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This work explored the fundamental differences/mechanisms between the GaAs substrates ablated in two different media of air and distilled water (DW). A scan area of 5 × 5 mm2 was ablated by a picosecond laser with a pulse duration of 30 ps, a repetition rate of 10 Hz, a wavelength of 1064 nm, and a pulse energy of 2 mJ. The spacing between raster scan lines was varied (0.05–0.35 mm), keeping the scan speed (0.15 mm/s) constant. The obtained GaAs nanostructures (NSs) were thoroughly analyzed using microscopy techniques. A clear increase in separation between the raster scan lines was observed w

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12

Gubceac, Natalia, Nellu Ciobanu, and Vasile Tronciu. "GENERATION AND CONTROL OF CHAOTIC BEHAVIOUR OF PHOTONS AND PHONONS IN BIOLOGICAL MEDIA." JOURNAL OF ENGINEERING SCIENCE 32, no. 1 (2025): 80–89. https://doi.org/10.52326/jes.utm.2025.32(1).07.

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It was reported the results on the numerical investigations of the dynamical behavior of photons and phonons emitted by a biological medium under the influence of millimeter or terahertz radiation. In particular it was investigated the influence of external modulation pump parameters on photons and phonons dynamics. It was found that the system displays, under certain conditions, continues waves, periodic and chaotic behaviors. A quasiperiodic route to chaos is found. The influence of some parameters on the system behavior is investigated. Finally, very good conditions for large chaotic behavi

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13

McKenna, Mark J., P. S. Spoor, R. L. Stanley, Elaine Dimasi, and J. D. Maynard. "Experiments on linear and nonlinear wave propagation in random and quasiperiodic media." Journal of the Acoustical Society of America 87, S1 (1990): S113. http://dx.doi.org/10.1121/1.2027850.

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14

Danylenko, V. A., V. V. Sorokina, and V. A. Vladimirov. "On the governing equations in relaxing media models and self-similar quasiperiodic solutions." Journal of Physics A: Mathematical and General 26, no. 23 (1993): 7125–35. http://dx.doi.org/10.1088/0305-4470/26/23/047.

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15

Kohmoto, Mahito. "Localization problem and mapping of one-dimensional wave equations in random and quasiperiodic media." Physical Review B 34, no. 8 (1986): 5043–47. http://dx.doi.org/10.1103/physrevb.34.5043.

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16

Wang, Bingxian, Chuanzhi Bai, M. Xu, and L. P. Zhang. "The Method Based on Series Solution for Identifying an Unknown Source Coefficient on the Temperature Field in the Quasiperiodic Media." International Journal of Differential Equations 2021 (December 22, 2021): 1–8. http://dx.doi.org/10.1155/2021/2893299.

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In this paper, we consider the reconstruction of heat field in one-dimensional quasiperiodic media with an unknown source from the interior measurement. The innovation of this paper is solving the inverse problem by means of two different homotopy iteration processes. The first kind of homotopy iteration process is not convergent. For the second kind of homotopy iteration process, a convergent result is proved. Based on the uniqueness of this inverse problem and convergence results of the second kind of homotopy iteration process with exact data, the results of two numerical examples show that

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17

Duerinckx, Mitia, Antoine Gloria, and Christopher Shirley. "Approximate Normal Forms via Floquet–Bloch Theory: Nehorošev Stability for Linear Waves in Quasiperiodic Media." Communications in Mathematical Physics 383, no. 2 (2021): 633–83. http://dx.doi.org/10.1007/s00220-021-03966-7.

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18

Mathieu-Potvin, François. "The method of quasiperiodic fields for thermal conduction in periodic heterogeneous media: A theoretical analysis." International Journal of Thermal Sciences 120 (October 2017): 400–426. http://dx.doi.org/10.1016/j.ijthermalsci.2017.05.020.

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19

Mahalakshmi, V., Jolly Jose, and S. Dutta Gupta. "Linear periodic and quasiperiodic anisotropic layered media with arbitrary orientation of optic axis—A numerical study." Pramana 46, no. 6 (1996): 389–401. http://dx.doi.org/10.1007/bf02852265.

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20

KINOUCHI, OSAME, and MARCELO H. R. TRAGTENBERG. "MODELING NEURONS BY SIMPLE MAPS." International Journal of Bifurcation and Chaos 06, no. 12a (1996): 2343–60. http://dx.doi.org/10.1142/s0218127496001508.

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We introduce a simple generalization of graded response formal neurons which presents very complex behavior. Phase diagrams in full parameter space are given, showing regions with fixed points, periodic, quasiperiodic and chaotic behavior. These diagrams also represent the possible time series learnable by the simplest feed-forward network, a two input single-layer perceptron. This simple formal neuron (‘dynamical perceptron’) behaves as an excitable ele ment with characteristics very similar to those appearing in more complicated neuron models like FitzHugh-Nagumo and Hodgkin-Huxley systems:

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21

Nasybullin, A. R., O. G. Morozov, G. A. Morozov, R. V. Farkhutdinov, P. V. Gavrilov, and I. A. Makarov. "Means for monitoring the dielectric parameters of liquid media based on quasiperiodic Bragg microwave structures in a coaxial waveguide." Journal of Physics: Conference Series 1499 (March 2020): 012015. http://dx.doi.org/10.1088/1742-6596/1499/1/012015.

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22

Davit, Yohan, and Michel Quintard. "Technical Notes on Volume Averaging in Porous Media I: How to Choose a Spatial Averaging Operator for Periodic and Quasiperiodic Structures." Transport in Porous Media 119, no. 3 (2017): 555–84. http://dx.doi.org/10.1007/s11242-017-0899-8.

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23

Malomed, Boris A. "Past and Present Trends in the Development of the Pattern-Formation Theory: Domain Walls and Quasicrystals." Physics 3, no. 4 (2021): 1015–45. http://dx.doi.org/10.3390/physics3040064.

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A condensed review is presented for two basic topics in the theory of pattern formation in nonlinear dissipative media: (i) domain walls (DWs, alias grain boundaries), which appear as transient layers between different states occupying semi-infinite regions, and (ii) two- and three-dimensional (2D and 3D) quasiperiodic (QP) patterns, which are built as a superposition of plane–wave modes with incommensurate spatial periodicities. These topics are selected for the present review, dedicated to the 70th birthday of Professor Michael I. Tribelsky, due to the impact made on them by papers of Prof.

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24

SIVAJI GANESH, SISTA, and VIVEK TEWARY. "Bloch wave homogenisation of quasiperiodic media." European Journal of Applied Mathematics, October 5, 2020, 1–21. http://dx.doi.org/10.1017/s0956792520000352.

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Quasiperiodic media is a class of almost periodic media which is generated from periodic media through a ‘cut and project’ procedure. Quasiperiodic media displays some extraordinary optical, electronic and conductivity properties which call for the development of methods to analyse their microstructures and effective behaviour. In this paper, we develop the method of Bloch wave homogenisation for quasiperiodic media. Bloch waves are typically defined through a direct integral decomposition of periodic operators. A suitable direct integral decomposition is not available for almost periodic oper

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25

Wang, K. "Light wave states in two-dimensional quasiperiodic media." Physical Review B 73, no. 23 (2006). http://dx.doi.org/10.1103/physrevb.73.235122.

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26

Yang, Kai, Qidong Fu, Henrique C. Prates, et al. "Observation of Thouless pumping of light in quasiperiodic photonic crystals." Proceedings of the National Academy of Sciences 121, no. 47 (2024). http://dx.doi.org/10.1073/pnas.2411793121.

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Topological transport is determined by global properties of physical media where it occurs and is characterized by quantized amounts of adiabatically transported quantities. Discovered for periodic potential, it was also explored in disordered and discrete quasiperiodic systems. Here, we report on experimental observation of pumping of a light beam in a genuinely continuous incommensurate photorefractive quasicrystal emulated by its periodic approximants. We observe a universal character of the transport which is determined by the ratio between periods of the constitutive sublattices, by the s

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27

Pavlyshynets, Eduard, Luca Salasnich, Boris A. Malomed, and Alexander Yakimenko. "Solitons in quasiperiodic lattices with fractional diffraction." Physical Review E 111, no. 4 (2025). https://doi.org/10.1103/physreve.111.044206.

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We study the dynamics of solitons under the action of one-dimensional quasiperiodic lattice potentials, fractional diffraction, and nonlinearity. The formation and stability of the solitons are investigated in the framework of the fractional nonlinear Schrödinger equation. By means of variational and numerical methods, we identify conditions under which stable solitons emerge, stressing the effect of fractional diffraction on soliton properties. The reported findings contribute to understanding the soliton behavior in complex media, with implications for topological photonics and matter-wave d

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28

Nicholls, David P., Carlos Pérez-Arancibia, and Catalin Turc. "Sweeping Preconditioners for the Iterative Solution of Quasiperiodic Helmholtz Transmission Problems in Layered Media." Journal of Scientific Computing 82, no. 2 (2020). http://dx.doi.org/10.1007/s10915-020-01133-z.

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29

Paul Viator, Robert, Robert Lipton, Silvia Jimenez-Bolanos, and Abiti Adili. "Bloch waves in high contrast electromagnetic crystals." ESAIM: Mathematical Modelling and Numerical Analysis, May 6, 2022. http://dx.doi.org/10.1051/m2an/2022045.

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Analytic representation formulas and power series are developed describing the band structure inside non-magnetic periodic photonic three-dimensional crystals made from high dielectric contrast inclusions. Central to this approach is the identifcation and utilization of a resonance spectrum for quasiperiodic source-free modes. These modes are used to represent solution operators associated with electromagnetic and acoustic waves inside periodic high contrast media. A convergent power series for the Bloch wave spectrum is recovered from the representation formulas. Explicit conditions on the co

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30

Wang, Kang. "Structural effects on light wave behavior in quasiperiodic regular and decagonal Penrose-tiling dielectric media: A comparative study." Physical Review B 76, no. 8 (2007). http://dx.doi.org/10.1103/physrevb.76.085107.

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