Title :
Chaotic synchronization in RCL-shunted Josephson junctions
Author :
Lu Pingli ; Yang Ying
Author_Institution :
Sch. of Autom., Beijing Inst. of Technol., Beijing, China
Abstract :
Chaotic synchronization criteria for a class of dynamical networks with each node being RCL-shunted Josephson junction is proposed in this paper. The proposed algorithms, which are established in terms of linear matrix inequalities (LMIs), guarantee the synchronized states to be global asymptotically stable. In addition, an interesting conclusion is reached that the chaotic synchronization in the coupled whole 3N-dimensional networks can be converted into that of 3-dimensional space.
Keywords :
Josephson effect; asymptotic stability; chaos; linear matrix inequalities; nonlinear dynamical systems; synchronisation; RCL-shunted Josephson junction; chaotic synchronization; coupled whole 3N-dimensional network; dynamical network; global asymptotic stability; linear matrix inequalities; Asymptotic stability; Eigenvalues and eigenfunctions; Integrated circuits; Josephson junctions; Junctions; Linear matrix inequalities; Synchronization; Chaotic Synchronization; Globally Asymptotically Stable; Josephson Junctions; LMIs;
Conference_Titel :
Control Conference (CCC), 2010 29th Chinese
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-6263-6