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Journal articles on the topic 'Turbulent and chaotic propagation'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Mohamed, Ali, and M. R. Chatterjee. "Non-chaotic and chaotic propagation of stationary and dynamic images through MVKS turbulence." Journal of Modern Optics 66, no. 13 (2019): 1392–407. http://dx.doi.org/10.1080/09500340.2019.1625980.

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2

Zimmermann, W. B., and M. G. Velarde. "On the possibility of wave-induced chaos in a sheared, stably stratified fluid layer." Nonlinear Processes in Geophysics 1, no. 4 (1994): 219–23. http://dx.doi.org/10.5194/npg-1-219-1994.

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Abstract. Shear flow in a stable stratification provides a waveguide for internal gravity waves. In the inviscid approximation, internal gravity waves are known to be unstable below a threshold in Richardson number. However, in a viscous fluid, at low enough Reynolds number, this threshold recedes to Ri = 0. Nevertheless, even the slightest viscosity strongly damps internal gravity waves when the Richardson number is small (shear forces dominate buoyant forces). In this paper we address the dynamics that approximately govern wave propagation when the Richardson number is small and the fluid is

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3

Ding, Ke, Zahra Rostami, Sajad Jafari, and Boshra Hatef. "Investigation of Cortical Signal Propagation and the Resulting Spatiotemporal Patterns in Memristor-Based Neuronal Network." Complexity 2018 (June 27, 2018): 1–20. http://dx.doi.org/10.1155/2018/6427870.

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Complexity is the undeniable part of the natural systems providing them with unique and wonderful capabilities. Memristor is known to be a fundamental block to generate complex behaviors. It also is reported to be able to emulate synaptic long-term plasticity as well as short-term plasticity. Synaptic plasticity is one of the important foundations of learning and memory as the high-order functional properties of the brain. In this study, it is shown that memristive neuronal network can represent plasticity phenomena observed in biological cortical synapses. A network of neuronal units as a two

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4

Tsai, Ya-Yi, Mei-Chu Chang, and Lin I. "Dynamical behaviors of nonlinear dust acoustic waves: From plane waves to dust acoustic wave turbulence." Journal of Plasma Physics 80, no. 6 (2014): 809–16. http://dx.doi.org/10.1017/s0022377814000324.

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The dust acoustic wave (DAW), associated with longitudinal dust oscillations in dusty plasmas, can be self-excited from the free energy of ion streaming. It is not only a fundamental plasma wave but also a paradigm to understand the generic dynamical behaviors of self-excited nonlinear longitudinal density waves through optically monitoring particle motion and dust density evolutions over a large area. In this paper, the dynamical behaviors of the wave-particle interaction and wave breaking in ordered self-excited DAW with straight wave fronts, and the defect-mediated wave turbulence with fluc

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5

del-Castillo-Negrete, D. "Non-diffusive, non-local transport in fluids and plasmas." Nonlinear Processes in Geophysics 17, no. 6 (2010): 795–807. http://dx.doi.org/10.5194/npg-17-795-2010.

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Abstract. A review of non-diffusive transport in fluids and plasmas is presented. In the fluid context, non-diffusive chaotic transport by Rossby waves in zonal flows is studied following a Lagrangian approach. In the plasma physics context the problem of interest is test particle transport in pressure-gradient-driven plasma turbulence. In both systems the probability density function (PDF) of particle displacements is strongly non-Gaussian and the statistical moments exhibit super-diffusive anomalous scaling. Fractional diffusion models are proposed and tested in the quantitative description

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6

Shevtsov, Boris, and Olga Shevtsova. "Fluctuations and nonlinear oscillations in complex natural systems." E3S Web of Conferences 62 (2018): 02006. http://dx.doi.org/10.1051/e3sconf/20186202006.

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Resonance propagation of radiation in the ionosphere, solar activity, magnetic dynamos, lightning discharges, fracture processes, plastic deformations, seismicity, turbulence and hydrochemical variability are considered as examples of complex dynamical systems in which similar fluctuation and nonlinear oscillation regimes arise. Collective effects in the systems behavior and chaotic oscillations in individual subsystems, the ratio of random and deterministic, the analysis of variability factors and the change of dynamic regimes, the scaling relation between the elements of the system and the i

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7

Buonocore, Salvatore, Mihir Sen, and Fabio Semperlotti. "Stochastic scattering model of anomalous diffusion in arrays of steady vortices." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2238 (2020): 20200183. http://dx.doi.org/10.1098/rspa.2020.0183.

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We investigate the occurrence of anomalous transport phenomena associated with tracer particles propagating through arrays of steady vortices. The mechanism responsible for the occurrence of anomalous transport is identified in the particle dynamic, which is characterized by long collision-less trajectories (Lévy flights) interrupted by chaotic interactions with vortices. The process is studied via stochastic molecular models that are able to capture the underlying non-local nature of the transport mechanism. These models, however, are not well suited for problems where computational efficienc

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8

Pidwerbetsky, A. "Chaotic wave propagation." Journal of the Acoustical Society of America 87, S1 (1990): S53. http://dx.doi.org/10.1121/1.2028268.

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9

VASSILICOS, J. C., and J. C. R. HUNT. "Turbulent Flamelet Propagation." Combustion Science and Technology 87, no. 1-6 (1993): 291–327. http://dx.doi.org/10.1080/00102209208947220.

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10

Ashurst, Wm T. "Modeling turbulent flame propagation." Symposium (International) on Combustion 25, no. 1 (1994): 1075–89. http://dx.doi.org/10.1016/s0082-0784(06)80745-9.

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11

Wu, Thomas X., and Dwight L. Jaggard. "On chaotic electromagnetic wave propagation." Microwave and Optical Technology Letters 21, no. 6 (1999): 448–51. http://dx.doi.org/10.1002/(sici)1098-2760(19990620)21:6<448::aid-mop14>3.0.co;2-l.

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12

Lekien, Francois, and Chad Coulliette. "Chaotic stirring in quasi-turbulent flows." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 365, no. 1861 (2007): 3061–84. http://dx.doi.org/10.1098/rsta.2007.0020.

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Transport in laminar flows is governed by chaotic stirring and striation in long thin filaments. In turbulent flows, isotropic mixing dominates and tracers behave like stochastic variables. In this paper, we investigate the quasi-turbulent, intermediate regime where both chaotic stirring and turbulent mixing coexist. In these flows, the most common in nature, aperiodic Lagrangian coherent structures (LCSs) delineate particle transport and chaotic stirring. We review the recent developments in LCS theory and apply these techniques to measured surface currents in Monterey Bay, California. In the

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13

SHLESINGER, MICHAEL F., JOSEPH KLAFTER, and GERT ZUMOFEN. "LÉVY FLIGHTS: CHAOTIC, TURBULENT, AND RELATIVISTIC." Fractals 03, no. 03 (1995): 491–97. http://dx.doi.org/10.1142/s0218348x95000412.

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Lévy flights were introduced through the mathematical investigation of the algebra of random variables with infinite moments. For many years Lévy flights remained an abstract topic in mathematics. Mandelbrot recognized that the Lévy flight prescription had a deep connection to scale-invariant fractal random walk trajectories. We review the utility of Lévy flights in several physics topics involving chaotic and turbulent diffusion and introduce the scaling to describe trajectories in relativistic turbulence.

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14

Beloshapkin, V. V., A. A. Chernikov, M. Ya Natenzon, B. A. Petrovichev, R. Z. Sagdeev, and G. M. Zaslavsky. "Chaotic streamlines in pre-turbulent states." Nature 337, no. 6203 (1989): 133–37. http://dx.doi.org/10.1038/337133a0.

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15

Kamin, Shoshana, and Juan Luis Vazquez. "The propagation of turbulent bursts." European Journal of Applied Mathematics 3, no. 3 (1992): 263–72. http://dx.doi.org/10.1017/s0956792500000838.

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We consider the equation of turbulent burst propagationwith m > 1 and k ≥ 0, or, in an equivalent formulationWe consider initial data u(x, 0) which are radially symmetric and have compact support; x = l(t) = r(T) describes the interface of the solution.

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16

RUETSCH, G. R., T. S. LUND, and Wm T. ASHURST. "Isotropy in Turbulent Flame Propagation." Combustion Science and Technology 118, no. 4-6 (1996): 285–91. http://dx.doi.org/10.1080/00102209608951982.

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17

Torcini, A., P. Grassberger, and A. Politi. "Error propagation in extended chaotic systems." Journal of Physics A: Mathematical and General 28, no. 16 (1995): 4533–41. http://dx.doi.org/10.1088/0305-4470/28/16/011.

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18

Bottiglieri, M., S. De Martino, M. Falanga, and C. Godano. "Chaotic ray propagation in corrugated layers." Nonlinear Processes in Geophysics 12, no. 6 (2005): 1003–9. http://dx.doi.org/10.5194/npg-12-1003-2005.

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Abstract. The aim of this paper is to study the effects of a corrugated wall on the behaviour of propagating rays. Different types of corrugation are considered, using different distributions of the corrugation heights: white Gaussian, power law, self-affine perturbation. In phase space, a prevalent chaotic behaviour of rays, and the presence of a lot of caustics, are observed. These results entail that the KAM theorem is not fulfilled.

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19

Pidwerbetsky, Alexander. "Chaotic wave propagation in random media." Journal of the Acoustical Society of America 84, S1 (1988): S91. http://dx.doi.org/10.1121/1.2026555.

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20

Vassilicos, J. C. "Mixing in vortical, chaotic and turbulent flows." Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 360, no. 1801 (2002): 2819–37. http://dx.doi.org/10.1098/rsta.2002.1093.

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21

Beck, Christian. "Chaotic cascade model for turbulent velocity distributions." Physical Review E 49, no. 5 (1994): 3641–52. http://dx.doi.org/10.1103/physreve.49.3641.

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22

Abraham, Farid F. "Turbulent dynamics of an intrinsically chaotic field." Physical Review E 49, no. 5 (1994): 3703–8. http://dx.doi.org/10.1103/physreve.49.3703.

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23

Buti, B. "Chaos and Turbulence in Solar Wind." International Astronomical Union Colloquium 154 (1996): 33–41. http://dx.doi.org/10.1017/s0252921100029936.

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AbstractLarge amplitude waves as well as turbulence has been observed in the interplanetary medium. This turbulence is not understood to the extent that one would like to. By means of techniques of nonlinear dynamical systems, attempts are being made to properly understand the turbulence in the solar wind, which is essentially a nonuniform streaming plasma consisting of hydrogen and a fraction of helium. We demonstrate that the observed large amplitude waves can generate solitary waves, which in turn, because of some propagating solar disturbance, can produce chaos in the medium. The chaotic f

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24

Brett, Genevieve Jay, Larry Pratt, Irina Rypina, and Peng Wang. "Competition between chaotic advection and diffusion: stirring and mixing in a 3-D eddy model." Nonlinear Processes in Geophysics 26, no. 2 (2019): 37–60. http://dx.doi.org/10.5194/npg-26-37-2019.

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Abstract. The importance of chaotic advection relative to turbulent diffusion is investigated in an idealized model of a 3-D swirling and overturning ocean eddy. Various measures of stirring and mixing are examined in order to determine when and where chaotic advection is relevant. Turbulent diffusion is alternatively represented by (1) an explicit, observation-based, scale-dependent diffusivity, (2) stochastic noise, added to a deterministic velocity field, or (3) explicit and implicit diffusion in a spectral numerical model of the Navier–Stokes equations. Lagrangian chaos in our model occurs

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25

Biktashev, V. N. "A Three-Dimensional Autowave Turbulence." International Journal of Bifurcation and Chaos 08, no. 04 (1998): 677–84. http://dx.doi.org/10.1142/s0218127498000474.

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Autowave vortices are topological defects in autowave fields in nonlinear active media of various natures and serve as centers of self-organization in the medium. In three-dimensional media, the topological defects are lines, called vortex filaments. Evolution of three-dimensional vortices, in certain conditions, can be described in terms of evolution of their filaments, analogously to that of hydrodynamical vortices in LIA approximation. In the motion equation for the filament, a coefficient called filament tension, plays a principal role, and determines qualitative long-time behavior. While

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26

Lehrman, M., A. B. Rechester, and R. B. White. "Symbolic Analysis of Chaotic Signals and Turbulent Fluctuations." Physical Review Letters 78, no. 1 (1997): 54–57. http://dx.doi.org/10.1103/physrevlett.78.54.

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27

Bohr, T., G. Grinstein, C. Jayaprakash, M. H. Jensen, and D. Mukamel. "Chaotic interface dynamics: A model with turbulent behavior." Physical Review A 46, no. 8 (1992): 4791–96. http://dx.doi.org/10.1103/physreva.46.4791.

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28

Lawrence, J. K., A. C. Cadavid, and A. A. Ruzmaikin. "Turbulent and Chaotic Dynamics Underlying Solar Magnetic Variability." Astrophysical Journal 455 (December 1995): 366. http://dx.doi.org/10.1086/176583.

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29

Tabor, M., and I. Klapper. "Stretching and alignment in chaotic and turbulent flows." Chaos, Solitons & Fractals 4, no. 6 (1994): 1031–55. http://dx.doi.org/10.1016/0960-0779(94)90137-6.

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30

Southerland, K. B., R. D. Frederiksen, W. J. A. Dahm, and D. R. Dowling. "Comparisons of mixing in chaotic and turbulent flows." Chaos, Solitons & Fractals 4, no. 6 (1994): 1057–89. http://dx.doi.org/10.1016/0960-0779(94)90138-4.

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31

Pikovsky, Arkady S. "Chaotic wavefront propagation in coupled map lattices." Physics Letters A 156, no. 5 (1991): 223–26. http://dx.doi.org/10.1016/0375-9601(91)90144-w.

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32

Pidwerbetsky, A., and R. V. E. Lovelace. "Chaotic wave propagation in a random medium." Physics Letters A 140, no. 7-8 (1989): 411–15. http://dx.doi.org/10.1016/0375-9601(89)90077-7.

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33

Khokhlov, Alexei M. "Propagation of Turbulent Flames in Supernovae." Astrophysical Journal 449 (August 1995): 695. http://dx.doi.org/10.1086/176091.

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34

Leandri, D., Y. Lacroix, and V. I. Nikishov. "Wave Propagation in Turbulent Sea Water." International Journal of Fluid Mechanics Research 38, no. 4 (2011): 366–86. http://dx.doi.org/10.1615/interjfluidmechres.v38.i4.60.

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35

Kimura, Toshiya, and Makoto Tosa. "Shock propagation in a turbulent cloud." Astrophysical Journal 406 (April 1993): 512. http://dx.doi.org/10.1086/172463.

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36

Pocheau, A. "Scale invariance in turbulent front propagation." Physical Review E 49, no. 2 (1994): 1109–22. http://dx.doi.org/10.1103/physreve.49.1109.

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37

Pocheau, A. "Front Propagation in a Turbulent Medium." Europhysics Letters (EPL) 20, no. 5 (1992): 401–6. http://dx.doi.org/10.1209/0295-5075/20/5/004.

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38

Searles, Stuart K., G. A. Hart, J. A. Dowling, and S. T. Hanley. "Laser beam propagation in turbulent conditions." Applied Optics 30, no. 4 (1991): 401. http://dx.doi.org/10.1364/ao.30.000401.

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39

VICTOR YAKHOT. "Propagation Velocity of Premixed Turbulent Flames." Combustion Science and Technology 60, no. 1-3 (1988): 191–214. http://dx.doi.org/10.1080/00102208808923984.

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40

Ardizzone, L., G. Gaeta, and M. S. Mongiovì. "Wave propagation in anisotropic turbulent superfluids." Zeitschrift für angewandte Mathematik und Physik 64, no. 5 (2013): 1571–86. http://dx.doi.org/10.1007/s00033-013-0308-2.

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41

Kingsep, A. "Transition from the chaotic turbulence to the turbulent structures." Discrete Dynamics in Nature and Society 3, no. 4 (1999): 243–50. http://dx.doi.org/10.1155/s1026022699000278.

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Weak turbulence, similar to incoherent light, may be represented as an ensemble of quasi-free quanta or Fourier harmonics. Unlike it, strongly turbulent state should be based on nonlinear structures. In particular, strong plasma turbulence may be constructed of discrete formations, viz., Langmuir solitons. Instead for ‘infrared catastrophe’ typical of the weakly turbulent regime, one deals with the ‘relay race’ model providing the proper direction of the energetic flux over scales from the source towards the leakage.

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42

Ananthakrishna, G., and M. S. Bharathi. "Chaotic and Power Law Turbulent States in Jerky Flow." Physica Scripta T106, no. 1 (2003): 82. http://dx.doi.org/10.1238/physica.topical.106a00082.

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43

Malescio, G. "Generalized error propagation in one-dimensional chaotic systems." Physical Review E 48, no. 2 (1993): 772–76. http://dx.doi.org/10.1103/physreve.48.772.

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44

Castaldi, Giuseppe, Vincenzo Galdi, and Innocenzo M. Pinto. "Short-Pulsed Wavepacket Propagation in Ray-Chaotic Enclosures." IEEE Transactions on Antennas and Propagation 60, no. 8 (2012): 3827–37. http://dx.doi.org/10.1109/tap.2012.2201126.

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45

Chen, Tzong H., and Larry P. Goss. "Propagation and fractals of turbulent jet flames." Journal of Propulsion and Power 8, no. 1 (1992): 16–20. http://dx.doi.org/10.2514/3.23436.

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46

Rickett, B. J. "Radio Propagation Through the Turbulent Interstellar Plasma." Annual Review of Astronomy and Astrophysics 28, no. 1 (1990): 561–605. http://dx.doi.org/10.1146/annurev.aa.28.090190.003021.

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47

Farmer, David M., Daniela Di Iorio, and Ward Cartier. "High‐frequency propagation in a turbulent flow." Journal of the Acoustical Society of America 96, no. 5 (1994): 3344. http://dx.doi.org/10.1121/1.410678.

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48

Lavery, Martin P. J. "Vortex instability in turbulent free-space propagation." New Journal of Physics 20, no. 4 (2018): 043023. http://dx.doi.org/10.1088/1367-2630/aaae9e.

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49

Tarng, J. H., and C. C. Yang. "Acoustic pulse propagation in a turbulent ocean." Journal of the Acoustical Society of America 82, S1 (1987): S104. http://dx.doi.org/10.1121/1.2024540.

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50

Fedotov, S. P. "Reaction front propagation in a turbulent flow." Journal of Physics A: Mathematical and General 28, no. 17 (1995): L461—L468. http://dx.doi.org/10.1088/0305-4470/28/17/002.

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