Sentence examples for corresponding periodic from inspiring English sources

In case of periodic solution of period T, a discrete approximation on a mesh in [0, T] and its period are computed as solutions of the corresponding periodic boundary value problem by using a piecewise polynomial collocation.

At the unit cell boundary, the corresponding periodic boundary conditions were applied.

With the proposed procedure, the approximate frequencies and the corresponding periodic solutions can be easily determined.

The approximate frequency and the corresponding periodic solution can easily be determined by the present proposed method.

With the procedure, the excellent approximate frequencies and the corresponding periodic solutions can be easily obtained.

With the procedure, the excellent approximate frequencies and the corresponding periodic solutions can easily be obtained.

It should be noticed that if (Qequiv I_{n}), then the corresponding rotating periodic solution is just a periodic solution of (1.1), while if (Qnotequiv I_{n}), we may obtain some existence results on quasi-periodic solutions of (1.1).

The relationship between the natural frequencies of the non-uniform beams with finite periodicity and the band gap boundaries of the corresponding infinite periodic beam is also investigated.

The existence of invariant tori corresponding to periodic orbits in the averaged system is established and their stability is determined.

The frequency response functions of corresponding finite periodic plates are calculated to verify the stop bands and their enhancement in a number of typical cases.

Special attention is devoted to the response in frequency ranges with gaps in the band structure for the corresponding infinite periodic lattice.