These oscillations create errors in measurements as well as an undesirable heat load to the system.
In addition to the assumptions of Section 8.4, suppose that η satisfies (B0)–(B1), (A2)–(A3), (B4) as well as efficiency (4.6) and quasi-monotonicity of oscillations and error (4.13).
Theorem 8.5 In addition to the assumptions of Section 8.4, suppose that η satisfies (B0)–(B1), (A2)–(A3), (B4) as well as efficiency (4.6) and quasi-monotonicity of oscillations and error (4.13).
And, the PDGEs are leaved to mainly describe the oscillation of geometric errors of rotary axis.
Both of these show strongly irregular convergence and high-amplitude oscillation in the errors ε in the amacrine cell.
The effect of axle-oscillation induced steering errors and of the axle impacting the bump stops attached to the tractor body is compared for two design variants.
Moreover, the proposed algorithm has minimal error oscillation for different landscapes, which is important for quality control of digital terrain model generation.
Consequently, higher-order filters are used, resulting in nonlinear loops with order greater than 2. Such systems, due to high order and nonlinear terms, depending on parameters combinations, can present some undesirable behaviors, resulting from bifurcations, as error oscillation and chaos, decreasing synchronization ranges.
The numerical test results obtained with this new scheme are in excellent agreement with previous results and they show that the scheme presented here is robust, accurate, and entropy satisfying by producing very sharp contact discontinuities and shocks without postshock oscillations and divergence errors.
This is illustrated in Figure 6 for the case of the oscillation amplitude as error signal.
