Sentence examples for means of continuation from inspiring English sources

Periodic oscillations are studied by means of continuation techniques, while non-stationary dynamics are investigated through direct simulations.

The approximating problems will be treated by means of the continuation principle developed in [19].

The analysis is conducted by means of parametric continuation method and numerical simulation, with the designation of bifurcation diagrams and time series.

Then, we pass from ((mathcal {P}_{0})) to ((mathcal {P}_{S})) by means of a numerical continuation procedure, involving three continuation parameters.

This will be achieved by means of a suitable continuation principle.

3, some new sufficient criteria for the existence of positive almost periodic solutions have been established by means of Mawhin's continuation theorem of coincidence degree theory.

By means of Mawhin's continuation theorem of coincidence degree theory, we obtain some new sufficient conditions of the existence of positive almost periodic solutions.

By means of Mawhin's continuation theorem of coincidence degree theory, some new sufficient criteria for the existence of positive almost periodic solutions have been established.

By means of Mawhin's continuation theorem and some analysis methods, a new result on the existence of homoclinic solutions for the equation is obtained.

By means of Mawhin's continuation theorem and the properties of A 3, they obtained sufficient conditions for the existence of periodic solutions to a Liénard neutral differential equation.

Recently, by means of Mawhin's continuation theorem, Wang and Zhu [14] studied a kind of fourth-order p-Laplacian neutral functional differential equation bigl[varphi_{p} bigl(x t -cx t-delta) bigr)" bigr]"+f bigl(x t -cx t-delta+g bigl(t,x t -cx t-deltagl(t, vert xvert _{infty}bigr) bigr) bigr)=e(t).