Sentence examples for a singular trajectory from inspiring English sources

The Malian singer continues to cut a singular trajectory through modern music.

Within the singular limit, the position of the base point determines whether a singular trajectory results in a rebound spike.

Note, if a singular trajectory lands onto the shaded region of S 0, it eventually undergoes a rebound spike.

a The singular trajectory for τ s = 24 in ( v, w ) -space.

On Fig. 8(a), the chattering trajectory "oscillates" around the singular part and finally "gets off" the singular trajectory with an infinite number of switchings.

a From the initial condition (IC), the layer problem dictates that the singular trajectory falls onto S a −.

The trajectory x associated with a singular control u is called singular trajectory.

Lemma 3.2 Equation (8) has neither a nontrivial periodic orbit nor a singular closed trajectory including a finite number of equilibria in S △.

Assuming the former case, we know that the L P − satisfy one of the following cases (see [22]): (i) A P = { E ∗ },   (ii) A P = { E 0 }, A P is a closed orbit, or A P is a singular closed trajectory,  .

A P = { E ∗ }, A P = { E 0 }, A P is a closed orbit, or A P is a singular closed trajectory, where A P is negative limit set of L P. Case (i) and Lemma 3.1 lead to a contradiction, and case (ii) and Lemma 3.2 lead to a contradiction.

In this part, we arbitrarily select a point Q ≠ O and Q is not in any of the stable manifolds, then the positive half orbit through the point Q will run out of this part or Ω Q is a closed orbit or a singular closed trajectory, where Ω Q is a positive limit set of  L Q.