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Parametric Frequency Analysis of Mathieu–Duffing Equation
International Journal of Bifurcation and Chaos, 2021 The 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
Azimi, Mohsen
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Aircraft Engineering and Aerospace Technology, 1942
IN the article on simultaneous equations published in AIRCRAFT ENGINEERING, Vol. XI, May, 1939, pp. 199–200, the author exploited the powerful process of iteration. In the present article he deals similarly with an iterative method for finding the roots of a determinantal equation. Such a method was first given by Duncan and Collar in their paper “On a
Morris, J., Head, J. W.
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IN the article on simultaneous equations published in AIRCRAFT ENGINEERING, Vol. XI, May, 1939, pp. 199–200, the author exploited the powerful process of iteration. In the present article he deals similarly with an iterative method for finding the roots of a determinantal equation. Such a method was first given by Duncan and Collar in their paper “On a
Morris, J., Head, J. W.
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Nonoscillation of Mathieu equations with two frequencies
Applied Mathematics and Computation, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jitsuro Sugie, Kazuki Ishibashi
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On the Frequency Equations of Combined Systems
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1996Summary: Two primary systems are considered: An \(n\)-mass oscillator and a one-dimensional continuous structure the displacements of which are discretized by its first \(n\) eigenfunctions. If to each of these systems the same spring-mass system is attached for example at their free ends, it may be expected intuitively that the frequency equations of ...
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Frequency dependent transport equation for a magnetoplasma
Plasma Physics, 1970The equation for the pair correlation function form the BBGKY hierarchy has been solved for a magnetoplasma under the influence of a weak external force proportional to exp (i omega 1t) using an operator method and a time-periodic ansatz for the one- and two-particle distribution functions.
Salat, A., Joyce, G.
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Integral equation solution of Maxwell's equations from zero frequency to microwave frequencies
IEEE Transactions on Antennas and Propagation, 2000We develop a new method to precondition the matrix equation resulting from applying the method of moments (MoM) to the electric field integral equation (EFIE). This preconditioning method is based on first applying the loop-tree or loop-star decomposition of the currents to arrive at a Helmholtz decomposition of the unknown currents.
Zhao, JS, Chew, WC
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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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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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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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