Sentence examples for manifold approach from inspiring English sources

We use the non-Nehari manifold approach developed in [42, 43] to show (2.17).

This paper presents a method to design a reduced order observer using an invariant manifold approach.

This paper outlines stability analysis and centre manifold approach for studying instability problems.

Finally, the centre manifold approach is used to obtain equations for the limit cycle amplitudes.

Thirdly, because the argument based on Nehari manifold approach (see Szulkin and Weth [44]) becomes invalid under condition (F4) instead of (F4′), we will use the non-Nehari manifold approach developed in [42, 43].

We obtain ground state and geometrically distinct periodic solutions of this equation by a generalized Nehari manifold approach.

But our research recognises the usefulness of manifold approaches, each with pros and cons for different situations.

Manifold approaches learn local structures, whereas PCA-like methods learn global structures.

Within foresight management in general and scenario development in particular, the question is often asked: "For what scenario do I have to be prepared?" Since there are manifold approaches of scenario technique, the ways to answer this question with the help of scenario technique are also manifold.

By the continuity of dependence on initial conditions, we can say that the basins B ( A 1 ) and B ( A 2 ) intertwine together beside p. In [5, 6, 14] and [15], the existence of a saddle point with its two branches of unstable manifold approaching different attractors plays an essential role in occurrence of intertwined basins of attraction.

Since constitutive activation of NFκB was shown to contribute to the maintenance of a range of cancers by inducing expression of anti-apoptotic genes [ 2- 4], manifold approaches were made to develop new anti-cancer strategies based on NFκB inhibition [ 3, 5].