Sentence examples for by using the averaging from inspiring English sources

The analytical solution of the amplitude frequency relationship is derived by using the averaging method and further verified by numerical simulations.

By using the averaging theory, we consider zero-Hopf bifurcation of the modified Chua system.

Here, we have confirmed that the hybrid oscillator also has same conditions, by using the averaging method.

Section 3 studies the Taylor problem in the wide-gap case by using the averaging method, and establishes its mathematical frame.

By using the averaging method, we give the averaged form of neutral SFDEs (1) and show that the pth moment of solution to equation (7) is bounded.

By using the averaging theory, in [44], fundamental properties are derived regarding the relationship between the gait parameters and the forward velocity.

Later in the day, his spokesman, John Del Cecato, said that Mr. Ferrer had arrived at $1.1 billion by using the average teacher's salary of $47,000.

The energy objective was measured by using the average fossil energy input per megajoule (MJ) of biofuel.

U.S. News measures financial resources by using the average spending per student on instruction, research, student services and related educational expenditures in the 2016 and 2017 fiscal years.

Firstly, by using the average dwell time approach, sufficient conditions which can guarantee the L1 finite-time boundedness of the underlying system are given.

This paper is concerned with the problem of stabilization and L2-gain analysis for a class of cascade switched nonlinear systems by using the average dwell-time method.