This paper deals with the global exponential synchronization of a class of delayed chaotic networks. Under some simple conditions, the global synchronization of a network about its all variables is derived by only considering the global synchronization of its partial variables. Furthermore,...

We have investigated the S=12 alternating anti-ferromagnetic Heisenberg chain (AHC) and the XXZ chain using the bosonization and Lanczos methods. For the AHC, the asymptotic behavior of the ground state energy per site is obtained and a new finite size scaling procedure is proposed to...