Sentence examples for commensurate system from inspiring English sources

Allowing them to screen their own air cargo would not be the sort of "commensurate" system the law requires the T.S.A. to adopt.

The local structure of BiTi3/8Fe2/8Mg3/8O3 reveals flexible coordination behavior of Ti4+ on the B site, which may play a similar role to the three Mn–O distances in the preferred J T distortion at Mn3+ here, but there is no B site ordering over any length scale in this commensurate system.

The mismatch will finally disappear, leading to the commensurate systems.

In particular, referring to commensurate systems, the coexistence of IS, AS, and IFSHPS is successfully achieved between the chaotic three-dimensional Rössler system of order 2.7 and the hyperchaotic four-dimensional Chen system of order 3.84.

Some interesting stability results have been achieved including fractional-order linear time-invariant systems, nonlinear systems, linear delayed systems, commensurate and incommensurate systems [17 22].

Referring to numerical examples, at first the coexistence of IS, AS, and IFSHPS between the chaotic fractional-order commensurate Rössler system and the hyperchaotic fractional-order commensurate Chen system is successfully achieved.

Specifically, by considering the errors in (23), it can be concluded identical synchronization (IS), anti-phase synchronization (AS) and inverse full state hybrid projective synchronization (IFSHPS) coexist when synchronizing the chaotic fractional-order commensurate Rössler system (19) and the hyperchaotic fractional-order commensurate Chen system (21).

The following commensurate order system: (7).

Different plots of the hyperchaotic attractor are reported in Figure 2. Figure 1 Different plots of the chaotic attractor of the commensurate fractional Rössler system ( 19 ). Figure 2 Different plots of the hyperchaotic attractor of the commensurate fractional Chen system ( 21 ).

However, their control and synchronization methodologies had two important limitations: considering the commensurate fractional order system, and controlling via multiple input.

(See [32, 33]) For a given commensurate fractional-order system (3), the equilibria can be obtained by calculating (f(x) = 0).