Sentence examples for solution branch from inspiring English sources

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

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

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

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^).

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

Fig. 4 Equilibrium solution branches in the "(x_{I}+1)" system.

Thick lines indicate stable solution branches, thin dashed lines correspond to unstable branches.

We also prove necessary conditions for the existence of solution branches not predicted by the quotient.

The results indicate that two distinct solution branches exist beyond the onset of traveling wave flutter.

Fig. 1 Solution branches from symmetry in the full system ((N=20)).