Sentence examples for synchronized up to from inspiring English sources

Among all kinds of synchronization, projective synchronization, in which the master and slave systems are synchronized up to a scaling factor, is an important concept in both theoretical and practical manners.

This paper presents two different hyperchaotic secure communication schemes by using generalized function projective synchronization (GFPS), where the drive and response systems could be synchronized up to a desired scaling function matrix.

Moreover, a new type of synchronization, called modified function projective synchronization (MFPS), where the drive and response systems could be synchronized up to a desired scale function matrix was introduced in [41, 42].

In the practical applications, a more general form synchronization, called modified generalized projective synchronization (MGPS), where the drive and response systems can be synchronized up to a transformation matrix that is not diagonal, will increase the complexity of the synchronization and further increase the diversity and the security of communications.

However, the above projective synchronization (PS) method is characterized that its drive and response systems are synchronized up to a constant scaling factor.

In 1999, Mainieri and Rehacek [14] first proposed the concept of projective synchronization, which is characterized that the drive and the response systems could be synchronized up to a scaling factor.

Recently, Chen et al. [13] introduced a new PS scheme which is called function projective synchronization (FPS), where the responses of synchronized dynamical states can synchronize up to a scaling function factor.

Recently introduced modified function projective synchronization (MFPS) in which chaotic systems synchronize up to a scaling function matrix has important applications in secure communications.

Based on the stability theory of fractional-order systems, the controllers are designed to make the drive and response systems synchronize up to the desired transformation matrix.

Just one telegraphic example in this domain: at the top of the food chain we find $380 billion market-cap Amazon partnered with $13-billion 13-billion markethip [NASDAQ:Mcap] to develop "end-to-end" encryption that begins in the silicon inside the end-use IoT chip synchronized up into the Cloud.

Whereas thalamic stimulation during DOWN states generated multineuronal, synchronized UP states, identical stimulation during UP states had no effect on the subthreshold membrane dynamics of the vast majority of cells or on ongoing multineuronal temporal patterns.