Sentence examples for solutions branch from inspiring English sources

Near bifurcation other types of solutions branch off these primary branches.

We follow non-trivial solution branches bifurcating from the trivial solution branch via numerical continuation methods.

A Activity levels on the (I_{1}/I_{2}) solution branch.

C Activity levels on the (I_{1}/I_{2}) solution branch.

A norm criterion on Fourier coefficients can confirm a posteriori the accuracy of the solution branch.

By the regular bifurcation theory, taking a as a bifurcation parameter, we can construct a positive solution branch from the semitrivial nonnegative solution branch ({(frac{hat{lambda}_{1}d}{1-q},0,theta), ain R^).

Continuation on the solution branch reveals a curve consisting of a stable branch, dominated by free convection, followed, past the first turning point, by an unstable branch.

Along this fixed point branch, the two groups remain clustered; the excitatory cells also remain clustered, that is, the solution branch can be characterized by ((x_{E},x_{I1},x_{I1})).

A high amplitude "detached" solution branch in the frequency-response of the primary structure is observed in the case of an NTMD.

The solution branch of such systems frequently contains limit points (or turning points) which represent the boundary between stability and instability of the system.

Results for the mass fraction distribution inside the reactor and the film growth rates are reported in all parts of the solution branch.