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In this paper, the operation of rotary traveling wave oscillators is analyzed, the general oscillation condition is derived, and analytical formula for the oscillator loss is presented.
In [15, 19, 25], the authors established some general oscillation criteria for second-order neutral delay differential equation (1.25).
For the general oscillation theory of differential equations the reader is referred to the monographs [21 24].
In addition, we recall the concept of mean values which is necessary to find general oscillation constants.
Moreover, systematic analyses of many signaling pathways revealed a general oscillation pattern of activation/inactivation signaling dynamics (Purvis et al., 2012; Purvis and Lahav, 2012, 2013).
In [13], by employing Riccati technique and averaging functions method, Ruan established some general oscillation criteria for second-order neutral delay differential equation.
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We develop new techniques that apply to more general oscillations than the standard mean oscillation and to overlapping balls instead of dyadic cubes.
In general, oscillations are observed for σ ≤ σ H if σ H < σ T while Turing patterns emerge for σ ≤ σ T if σ T < σ H and σ T is the smallest (real) root of Eq. 17.
In general, oscillations of different frequencies that are phase locked to the stimulus can contribute to the generation of ERP components in a manner specific to the behavioral task (Klimesch, Hanslmayr, et al. 2007).
In addition to the general AB oscillation with 2π-period, an AB oscillation with π-period can be developed when the difference between the two magnetic fluxes is (2n + 1)π(n = 0, 1, 2,…). Figure 1 Schematic plot of a double-Aharonov-Bohm interferometer consisting of five quantum dots sandwiched between two metallic electrodes.
If (16) holds, then, in general, almost oscillation depends on the sign of λ and on the types of nonlinearities.
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