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Parametric Frequency Analysis of Mathieu–Duffing Equation
International Journal of Bifurcation and Chaos, 2021The classic linear Mathieu equation is one of the archetypical differential equations which has been studied frequently by employing different analytical and numerical methods. The Mathieu equation with cubic nonlinear term, also known as Mathieu–Duffing equation, is one of the many extensions of the classic Mathieu equation. Nonlinear characteristics
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Aircraft Engineering and Aerospace Technology, 1944
THE “escalator” method of solving frequency equations, developed by Morris and Head (Ref. 1), and the natural extension of a Lemma by Professor Temple, together enable simple proofs to be given of two important fundamental theorems:
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THE “escalator” method of solving frequency equations, developed by Morris and Head (Ref. 1), and the natural extension of a Lemma by Professor Temple, together enable simple proofs to be given of two important fundamental theorems:
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The WDVV Associativity Equations as a High-Frequency Limit
Journal of Nonlinear Science, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maxim V. Pavlov, Nikola M. Stoilov
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The Telegraphist's Equations at Ultra-High Frequencies
Physics, 1935The telegraphist's or long line equations are derived from the Maxwell field equations for ultra-high frequencies. By taking into account retardation and the time rate of change of current, a new circuit parameter is obtained in addition to the four usually found in the conventional low frequency equations.
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Fountain equation and frequency calculation
2018 European Frequency and Time Forum (EFTF), 2018An algorithm of data processing, based on fountain equation noise model is presented. Calculation of fountain frequency measurement for two years demonstrate a coincidence with ‘international’ fountain within 1∗10−16.
Yu. S. Domnin, O. Kupalova
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Studying Word Equations by a Method of Weighted Frequencies
Fundamenta Informaticae, 2018We briefly survey some results and open problems on word equations, especially on those equations where the right-hand side is a power of a variable. We discuss a method that was recently used to prove one of the results, and we prove improved versions of some lemmas that are related to the method and can be used as tools when studying word equations ...
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On Refinement Equations Determined by Pólya Frequency Sequences
SIAM Journal on Mathematical Analysis, 1992Summary: The refinement equation \(\varphi(x)=\sum_{i\in\mathbb{Z}}a_ i\varphi(2x- i)\), \(x\in\mathbb{R}\), for a given sequence \({\mathbf a}=\{a_ i:\;i\in\mathbb{Z}\}\) has found important application in the study of both stationary subdivision schemes for the generation of curves and surfaces as well as the construction of orthonormal wavelets by ...
Goodman, T. N. T., Micchelli, Charles A.
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Frequency Solvability Conditions for Algebraic Riccati Equations
IFAC Proceedings Volumes, 1992Abstract Necessary and sufficient conditions for the existence of the stabilizing solution of the algebraic Riccati equation are derived both for the continuous and discrete-time cases under the weakest possible assumptions imposed on the initial data. The conditions are involving an associated Popov function.
Vlad Ionescu, Martin Weiss
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The Journal of the Acoustical Society of America, 1983
Frequency-discrimination thresholds, for a wide range of stimulus frequencies and stimulus levels, were obtained from three normal-hearing listeners. Linear regression analyses of the present data, and of data from two previous studies, indicate that an SL−1 transformation of stimulus level and a (F)1/2 transformation of stimulus frequency yield linear
D A, Nelson, M E, Stanton, R L, Freyman
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Frequency-discrimination thresholds, for a wide range of stimulus frequencies and stimulus levels, were obtained from three normal-hearing listeners. Linear regression analyses of the present data, and of data from two previous studies, indicate that an SL−1 transformation of stimulus level and a (F)1/2 transformation of stimulus frequency yield linear
D A, Nelson, M E, Stanton, R L, Freyman
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Reduction of structural frequency equations.
AIAA Journal, 1973References 1 Goldstein, R. J. and Hagen, W. R, "Turbulent Flow Measurements Utilizing the Doppler Shift of Scattered Laser Radiation," The Physics of Fluids, Vol. 10, 1967, pp. 1349-1351. 2 Pike, E. R., Jackson, D. A., Bourke, P. J., and Page, D. I., "Measurement of Turbulent Velocities from the Doppler Shift in Scattered Laser Light," Journal of ...
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