For Hamiltonian systems, it was used in Jiang and Tang  to obtain the existence of periodic and subharmonic
solutions for problem (1.1), and in Ma and Zhang  for p-Laplacian systems.
Ghil, "El Nino on the devil's staircase: annual subharmonic
steps to chaos," Science, vol.
solutions for some second order differential equations with singularities," SIAM Journal on Mathematical Analysis, vol.
Yu, "Existence of periodic and subharmonic
solutions for second-order superlinear difference equations," Science in China.
transition to turbulence in a flat-plate boundarylayer at Mach number 4.5," Journal of Fluid Mechanics, vol.
mixers offer an alternative to fundamental mixers in that the LO frequency is at some integer fraction 1/n of the fundamental LO frequency [f.sub.IF] = [absolute value of [f.sub.RF] - (n x [f.sub.LO])].
Aitken, "Using the fast orthogonal search with first term reselection to find subharmonic
terms in spectral analysis," Annals of Biomedical Engineering, vol.
Generally not recommended to fall below 40 kHz ultrasound frequency, because the first subharmonic
is in the audible range and noise can become harmful to the operator.
The compact unit uses a fundamental VCO to achieve the desired output frequency, eliminating possible spectrum contamination from subharmonic
Therefore some extreme situations can appear during exploitation of CRS in cases of specific conditions: high amplitude components of subharmonic
vibrations may by generated, rubbing of rotor and housing elements caused by increased eccentricity of shafts may appear, etc.
Specific topics explored include zeros of functions in weighted and Bergman spaces, Blaschke-type conditions for analytic and subharmonic
functions, interpolation sequences for the Bernstein algebra, differentiability of functions of contractions, and free interpolation in the Nevanlinna class.