Skip to main content

Theory and Modern Applications

Table 1 Types of synchronization

From: Complex modified generalized projective synchronization of fractional-order complex chaos and real chaos

Settings of the matrix Λ

Synchronization type

\(\Lambda=\Lambda^{r}+j\Lambda^{i}\in\mathbb{C}^{n\times n}\), non-diagonal

CMGPS

\(\Lambda=\operatorname{diag}\{\delta_{1},\delta_{2},\ldots,\delta_{n}\}\in\mathbb {C}^{n\times n}\)

CMPS

\(\Lambda=\operatorname{diag}\{\delta,\delta,\ldots,\delta\}\in\mathbb{C}^{n\times n}\)

CPS

\(\Lambda\in\mathbb{R}^{n\times n}\), non-diagonal

MGPS

\(\Lambda=\operatorname{diag}\{\delta_{1},\delta_{2},\ldots,\delta_{n}\}\in\mathbb {R}^{n\times n}\)

MPS

\(\Lambda=\operatorname{diag}\{\delta,\delta,\ldots,\delta\}\in\mathbb{R}^{n\times n}\)

PS

Λ = diag{ − 1,−1,…,−1}

AS

Λ = diag{1,1,…,1}

CS