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Conditions for subharmonicity and subharmonic extensions of functions
Sbornik: Mathematics, 2017This 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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AN ESTIMATE FOR THE SUBHARMONIC DIFFERENCE OF SUBHARMONIC FUNCTIONS. I
Mathematics of the USSR-Sbornik, 1977Let , , and be subharmonic functions in the half-plane , and suppose that and are majorized by a positive function of the form , where and .An inequality for the subharmonic difference is obtained in terms of the function , , , which then gives an estimate for the difference from above.
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Subharmonic gap structure and subharmonic Josephson steps
Journal of Low Temperature Physics, 1975Subharmonic 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 +2 more
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Stability of Subharmonic Solutions
SIAM Journal on Applied Mathematics, 1987Summary: 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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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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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, 1951In 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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Multirate subharmonic sampling
2000 IEEE International Conference on Communications. ICC 2000. Global Convergence Through Communications. Conference Record, 2002A 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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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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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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APPROXIMATION OF SUBHARMONIC FUNCTIONS
Mathematics of the USSR-Sbornik, 1985If the function f(z) is holomorphic in \(\Omega \subset R_ 2\), the function ln \(| f(z)|\) is subharmonic in \(\Omega\). In the paper the possibilities of approximations of subharmonic functions defined on an arbitrary domain \(\Omega \subset R_ 2\) are studied. For the case \(\Omega =R_ 2\) the problem is also solved. The approximation is realized by
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Subharmonic Extensions and Approximations
Canadian Mathematical Bulletin, 1994AbstractIn this note we extend subharmonic functions defined on closed sets.
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