Sentence examples for solution diagram from inspiring English sources

By dimensionless transformation, the solution diagram of steady-states satisfying the given boundary conditions is obtained.

Therefore, a complete solution diagram is very important in solving non-linear vibration problems in order to ensure that all possible solutions have been sought.

In practical situations, the critical value usually corresponds to a jump in the solution diagram when hysteresis is observed, and can thus be easily determined.

A basic method used in the program is continuation of a steady state, periodic solution, or another boundary value problem with respect to a parameter that provides a solution diagram.

Continuation of a steady state, periodic solution or solution of a general boundary value problem with respect to a parameter provides a solution diagram; simultaneous stability analysis identifies bifurcation points and these may be continued with respect to a second parameter to obtain a bifurcation diagram.

Hopf bifurcations will also be discussed with these solution diagrams.

As illustrated using a literature example, it also facilitates computation and construction of solution diagrams.

This paper is aimed at seeking solution diagrams by means of performing parametric studies.

Singularity theory is exploited to divide the space of reactor-design parameters into regions characterized by qualitatively different solution diagrams.

By introducing a parameter, this method can give solution diagrams of different non-linear dynamic systems, even with strong non-linearity.

Examples of van der Pol oscillators and coupled oscillators are used to illustrate the effectiveness of the method and the importance of obtaining solution diagrams.