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Relevant bibliographies by topics / Quasiperiodic systems

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Journal articles

Academic literature on the topic 'Quasiperiodic systems'

Author: Grafiati

Published: 6 September 2023

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Journal articles on the topic "Quasiperiodic systems"

1

Redkar, Sangram. "Lyapunov Stability of Quasiperiodic Systems." Mathematical Problems in Engineering 2012 (2012): 1–10. http://dx.doi.org/10.1155/2012/721382.

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We present some observations on the stability and reducibility of quasiperiodic systems. In a quasiperiodic system, the periodicity of parametric excitation is incommensurate with the periodicity of certain terms multiplying the state vector. We present a Lyapunov-type approach and the Lyapunov-Floquet (L-F) transformation to derive the stability conditions. This approach can be utilized to investigate the robustness, stability margin, and design controller for the system.

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2

Yamaguchi, Atsushi, and Toshiyuki Ninomiya. "Artificial systems with quasiperiodic structure." Bulletin of the Japan Institute of Metals 29, no. 10 (1990): 839–44. http://dx.doi.org/10.2320/materia1962.29.839.

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3

Janssen, T. "The symmetry of quasiperiodic systems." Acta Crystallographica Section A Foundations of Crystallography 47, no. 3 (1991): 243–55. http://dx.doi.org/10.1107/s0108767390013745.

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4

WALGRAEF, D., G. DEWEL, and P. BORCKMANS. "Quasiperiodic order in dissipative systems." Nature 318, no. 6047 (1985): 606. http://dx.doi.org/10.1038/318606a0.

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5

Zhong, J. X., and R. Mosseri. "Quantum dynamics in quasiperiodic systems." Journal of Physics: Condensed Matter 7, no. 44 (1995): 8383–404. http://dx.doi.org/10.1088/0953-8984/7/44/008.

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6

Salazar, F. "Phonon localization in quasiperiodic systems." Journal of Non-Crystalline Solids 329, no. 1-3 (2003): 167–70. http://dx.doi.org/10.1016/j.jnoncrysol.2003.08.034.

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7

TUTOR, J., and V. R. VELASCO. "SOME PROPERTIES OF THE TRANSVERSE ELASTIC WAVES IN QUASIPERIODIC STRUCTURES." International Journal of Modern Physics B 15, no. 21 (2001): 2925–34. http://dx.doi.org/10.1142/s0217979201007129.

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We have studied the integrated density of states and fractal dimension of the transverse elastic waves spectrum in quasiperiodic systems following the Fibonacci, Thue–Morse and Rudin–Shapiro sequences. Due to the finiteness of the quasiperiodic generations, in spite of the high number of materials included, we have studied the possible influence of the boundary conditions, infinite periodic or finite systems, together with that of the different ways to generate the constituent blocks of the quasiperiodic systems, on the transverse elastic waves spectra. No relevant differences have been found for the different boundary conditions, but the different ways of generating the building blocks produce appreciable consequences in the properties of the transverse elastic waves spectra of the quasiperiodic systems studied here.

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8

SANCHEZ, VICENTA, and CHUMIN WANG. "RESONANT AC CONDUCTING SPECTRA IN QUASIPERIODIC SYSTEMS." International Journal of Computational Materials Science and Engineering 01, no. 01 (2012): 1250003. http://dx.doi.org/10.1142/s2047684112500030.

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Based on the Kubo-Greenwood formula, a renormalization plus convolution method is developed to investigate the frequency-dependent electrical conductivity of quasiperiodic systems. This method combines the convolution theorem with the real-space renormalization technique which is able to address multidimensional systems with 1024 atoms. In this article, an analytical evaluation of the Kubo-Greenwood formula is presented for the ballistic ac conductivity in periodic chains. For quasiperiodic Fibonacci lattices connected to two semi-infinite periodic leads, the electrical conductivity, is calculated by using the renormalization method and the results show that at several frequencies, their ac conductivities could be larger than the ballistic ones. This fact might be related to the resonant scattering process in quasiperiodic systems. Finally, calculations made in segmented Fibonacci nanowires reveal that this improvement to the ballistic ac conductivity via quasiperiodicity is also present in multidimensional systems.

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9

V.R. Krasheninnikov, O.E. Malenova, O.E. Malenova, and A.Yu. Subbotin. "MODELS OF SYSTEMS OF QUASIPERIODIC PROCESSES BASED ON CYLINDRICAL AND CIRCULAR IMAGES." Izvestiya of Samara Scientific Center of the Russian Academy of Sciences 23, no. 1 (2021): 103–10. http://dx.doi.org/10.37313/1990-5378-2021-23-1-103-110.

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The behavior of objects in many practical situations has a quasiperiodic character - the presence of noticeable periodicity with random variations of quasiperiods. For example, noise and vibration of an aircraft engine, hydroelectric unit, seasonal and daily fluctuations in atmospheric temperature, etc. In this case, the object can have several parameters, therefore the object is described by a system of several time series, that is, several random processes. The emerging monitoring tasks (assessing the state of an object and its forecast) require setting a model of such a system of processes and identifying it for a particular object based on the results of its observations. In this paper, to represent a quasi-periodic process, an autoregressive model is used in the form of sweeps of several cylindrical or circular images along a spiral. Choosing the values of a small number of parameters of this model, one can describe and simulate a wide class of systems of quasiperiodic processes. The problem of identifying a model is considered, that is, determining the values of its parameters at which it, in a certain sense, best corresponds to the actually observed process. This problem is solved using a pseudo-gradient adaptive procedure, the advantage of which is its real-time operation with low computational costs.

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10

Morozov, A. D., and K. E. Morozov. "On Synchronization of Quasiperiodic Oscillations." Nelineinaya Dinamika 14, no. 3 (2018): 367–76. http://dx.doi.org/10.20537/nd180307.

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