Results 141 to 150 of about 925 (179)

Subharmonic Oscillations of a Pendulum

Journal of Applied Mechanics, 1960
Large amplitude oscillations of a simple pendulum whose support moves with a prescribed vertical oscillation are studied by an approximate method. Subharmonics of order 1/2, 1/4, 1/6, and 1/8 are discussed and the theoretical results are compared with experiments.
Skalak, Richard, Yarymovych, M. I.
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Approximation to subharmonic functions by subharmonic polynomials

Mathematical Notes of the Academy of Sciences of the USSR, 1985
Let D be a domain in \({\mathcal R}^ m\) (m\(\geq 2)\) with connected boundary and let E be a compact subset of D. It is shown that if u is real-valued, continuous and subharmonic in D, then u can be uniformly approximated in E by subharmonic polynomials. This result with ''harmonic'' in place of ''subharmonic'' is a classical theorem of J. L.
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Paths for Subharmonic Functions

Proceedings of the London Mathematical Society, 1984
The paths are investigated for non-negative subharmonic functions defined on the domains in \(R^ m\), \(m=2\), 3. Let u be a subharmonic function on the unit ball B(0,1) of \(R^ n\) and 0\(\leq u\leq 1\). Then for given \(\epsilon>0\) there exists \(r(\epsilon)>0\) with the following property: if \(| x-y|\epsilon\), \(u(y)>\epsilon\), \(| x|
Davis, Burgess, Lewis, John L.
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Conditions for subharmonicity and subharmonic extensions of functions

Sbornik: Mathematics, 2017
This paper establishes a general result about removable sets for subharmonic functions \(u\) based on the behaviour of the mean value \(M_{r}u(x)\) of \(u\) over the ball \(B(x,r)\) as \(r\rightarrow 0+\). Several applications are presented, of which a sample is now given.
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Subharmonic gap structure and subharmonic Josephson steps

Journal of Low Temperature Physics, 1975
Subharmonic microwave-induced Josephson step structure is often observed in superconducting junctions that exhibit subharmonic gap structure. The two theories, multiparticle tunneling and self-coupling due to an electromagnetic field set up by the ac Josephson current, which have been suggested to explain the subharmonic gap structure are investigated ...
L. -E. Hasselberg, M. T. Levinsen, M. R. Samuelsen   +2 more
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Power system subharmonics

IEEE Power Engineering Society General Meeting, 2005, 2005
Power system subharmonics are considered with reference to some of their most significant effects. In particular, four kinds of sensitive electrical components are considered: lightning systems, transformers, induction motors and turbogenerators.
LANGELLA, Roberto, TESTA, Alfredo
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Predominantly Subharmonic Oscillations

Journal of Applied Physics, 1951
In this paper an electromechanical analog previously reported, is used to investigate the phenomena of subharmonic oscillations. Special consideration is given to the case in which the subharmonic ``predominates,'' i.e., in which the amplitude of the fourier component having the subharmonic frequency is greater than the amplitude of the fundamental. An
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Stability of Subharmonic Solutions

SIAM Journal on Applied Mathematics, 1987
Summary: Consider the equation ẍ\(+g(x)=-\lambda \dot x+\mu f(t)\) where x is real, g is smooth, \(f(t+1)=f(t)\) and \(\lambda\) and \(\mu\) are small parameters. By using periodic Mel'nikov functions and the method of Lyapunov-Schmidt, we determine all the Floquet multipliers of the bifurcating subharmonic solutions of order k, \(k=1,2,... \).
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Multirate subharmonic sampling

2000 IEEE International Conference on Communications. ICC 2000. Global Convergence Through Communications. Conference Record, 2002
A new subharmonic sampling approach is introduced whereby the inphase and quadrature mixers are eliminated through the use of a multirate digital signal processing structure. This extends the concept of subharmonic sampling such that a variety of symbol rates can be accommodated.
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Subharmonics in BSO

Topical Meeting on Photorefractive Materials, Effects, and Devices II, 1990
In 1988, Mallick et al.[1] found self-generated subharmonics in Bi12SiO20 (BSO). They used two coherent almost linear pump beams (wave vectors k→ p and k→ p ′ , see Fig. 1) with grating vector K→ and frequency detuning Ω, impinging on a 1 cm thick BSO crystal.
L. B. Au, L. Solymar, K. H. Ringhofer
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