Sentence examples for by a nonlinear equation from inspiring English sources

In both design cases its lateral vibration is governed by a nonlinear equation of motion.

The effective Hamiltonian is determined implicitly by a nonlinear equation given as integrals with respect to the velocity variable.

The inclusion of this assist force is accomplished through frequency entrainment such as that of a Van der Pol oscillator, as described by a nonlinear equation.

We show that in these conditions, there is demand equilibrium, and we design an ad hoc heuristic to solve the problem, since finding the solution to the model involves finding the demand equilibrium given by a nonlinear equation.

Hence, the ACI ultimate strength can be most accurately computed from the moment magnifier method when the effective length factor K is computed using the Jackson Moreland Alignment Chart and by adopting a nonlinear equation for computing EI proposed for design by Tikka and Mirza.

Since the Fourier coefficient is estimated by solving a nonlinear equation, NHA enables the frequency and its associated parameters to be accurately estimated without being significantly affected by the frame length.

Besides, under the proposed control strategy, only a proportion of vehicles (labeled asymptotic density of informed vehicles) can receive the specific information packet, which can be estimated by solving a nonlinear equation.

We, therefore, noted that the Fourier coefficient could be estimated by solving a nonlinear equation based on the assumption of a stationary signal (see the bottom of Figure 1).

The optimization of E∞ can be usually solved by the iterative solution of a nonlinear equation system.

The design consists of a high-gain observer that estimates the states of the system together with the full perturbation, and a parameter estimator constructed by the designer to invert a nonlinear equation.

In general, waves of finite amplitude governed by a nonlinear evolution equation are called nonlinear waves.