Sentence examples for continuation and stability from inspiring English sources

Through numerical continuation and stability analysis, we construct one-parameter coarse bifurcation diagrams and contrast the results of mean-field differential equation models with the coarse-grained, expected dynamics of kinetic Monte Carlo (kMC) lattice-gas model simulations.

Unlike previous analytical and numerical methods, the proposed HBM includes adaptive arc-length continuation and stability calculation capabilities to find periodic solutions in multi-valued nonlinear frequency response regimes as well as to improve convergence.

Methods for one-parameter continuation and stability analysis of periodic solutions as well as two-parameter continuation of Hopf and limit bifurcation points have been added to the dynamic flowsheet simulation environment DIVA.

Gronwall-Bellman inequalities and their various linear and nonlinear generalizations play very important roles in the discussion of existence, uniqueness, continuation, boundedness, and stability properties of solutions of differential equations and difference equations.

Complemented by a parameter continuation method and stability analysis, the method is capable of mapping the solution space of the wetting states and computing the energy barriers of the wetting transitions.

Both parametric continuation and linear stability analysis results are reported for the steady-state IEM model using the Citri Epstein mechanism with the kinetic constants employed by Fox and Villermaux (1990, Chem. Engng Sci.45, 2857 2876).

The Gronwall-Bellman inequality and its various linear and nonlinear generalizations are crucial in the discussion of the existence, uniqueness, continuation, boundedness, oscillation and stability, and other qualitative properties of solutions of differential and integral equations.

Following solutions using pseudo-arclength continuation and determining their stability via linearisation about them will only detect local bifurcations such as saddle-node and Hopf.

Using the relative phase model allows us to use continuation and fixed point stability analysis, which we can exploit to find entrainment ranges.

"We share with the Taiwan people a profound interest in the continuation of cross-Strait peace and stability," it said.

It is worth mentioning that Feng and Ning [32] used a Meyer wavelet regularization method for solving numerical analytic continuation and presented the Hölder-type stability estimates.