Sentence examples for center manifold from inspiring English sources

Consider the center manifold v = h ( u ).

Φ is a center manifold function.

We now want to compute the center manifold and derive the mapping on the center manifold.

Meanwhile, the existence of a center manifold is obtained.

A new way to approximate the center manifold is proposed, which can reduce the error degree of the center manifold approximation.

Since the key point in the proof of Theorem 3.2.1 is the center manifold function, we introduce an approximation formula of the center manifold function derived in [16].

The Birkhoff normalization is constructed around L2, followed by its reduction to the center manifold.

These bifurcations are analyzed by applying the center manifold theorem and the normal form theory.

The Naimark Sacker bifurcations at the combination resonance are analyzed by the center manifold method.

An effective reduction method based on geometric singular perturbation and center manifold techniques is proposed.

It is found that Hopf bifurcation occurs in the system by center manifold theory.