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The optimal structure of the coupled structural acoustic system with smooth boundary is obtained through the level set evolution, while the velocity field is derived from the sensitivity analysis and the optimization algorithm.
The video shows an interface that is quite different from what's found in the Ferrari system, with smooth touch-based scrolling of content instead of button-controlled paging through tracks and other lists.
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The developed methodology is general and applicable to discrete or continuous systems with smooth or nonsmooth nonlinearities.
A modified interpolated cell mapping (MICM) method is developed for global analysis of deterministic dynamical systems with smooth basin boundaries.
Initial value problems for linear hyperbolic systems with smooth 2π-periodic coefficients are solved numerically by a modified Fourier Galerkin method when the initial values are nonsmooth.
Before discussing the case of an arbitrary spectrum of M which enables to consider more general IVPs, TVPs, and BVPs, we summarize here the results from the previous sections and point out the differences when compared to the framework given in [5], [26], where linear systems with smooth inhomogeneity, y ′ ( t ) = M t y ( t ) + f ( t ), t ∈ ( 0, 1 ], (36).
These search algorithms, which test drug cocktails sequentially, are especially effective for biological systems with smooth response surfaces in the parametric space.
Therefore, systems with smooth and easy to reach surfaces such as system A should be preferred in practical use.
By applying feedback linearization, 10 a proper coordinate transformation can be derived to establish an effective method for control of the nonlinear systems with smooth nonlinearities, which are nonlinear in their state variables but linear in their control variables.
In this paper, Chua's system with a smooth nonlinearity, described by a cubic polynomial, has been presented.
Based on the fact that Chua's system is a classic model system of electronic circuits, we first present modified Chua's system with a smooth nonlinearity, described by a cubic polynomial in this paper.
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