Sentence examples for unstable branches from inspiring English sources

One parameter continuation with eigenvalue calculations reveals existence of multiple steady states with stable and unstable branches.

To track the unstable branches of the equilibrium curve, continuation methods in conjunction with the Riks algorithm are implemented.

Moreover, the stable branches emerge from the unstable branches after going through a hysteresis on the patterned branch.

Furthermore, the method allows to exploit specific advantages of phase control such as the robustness for lightly damped systems and the stabilization of unstable branches of the frequency response.

It is shown that a simple nonlinear lumped parameter model is sufficient to schematise the gyroscope and that a semi-analytical integration method allows to quickly determine both stable and unstable branches of the system's dynamic response.

In contrast to the Turing patterns, these transport limited patterns exist only in the region of multiple homogeneous states and always emerge as unstable branches but become stable after a limit point bifurcation.

In the considered system, this manifold has only one stable and one unstable branch.

Experimental validation is carried out using control-based continuation to obtain the experimental frequency response, including its unstable branch.

Numerical solutions are presented on the unstable branch of solutions resulting from the observed subcritical Hopf bifurcation.

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.

Here the so-called Recursive Projection Method (RPM) is implemented as a computational shell "wrapped" around Fluent, in conjunction with a pseudo-arc-length method for convergence on the unstable branch.