Title :
On a conjecture regarding the synchronization in an array of linearly coupled dynamical systems
Author :
Wu, Chai Wah ; Chua, Leon O.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA
fDate :
2/1/1996 12:00:00 AM
Abstract :
In this letter, we give supporting evidence for a conjecture regarding the amount of coupling needed to synchronize an array of linearly coupled dynamical systems. Roughly speaking, the conjecture says that the coupling needed to synchronize an array of coupled systems is inversely proportional to the nonzero eigenvalue of the coupling graph that is smallest in magnitude. The conjecture implies that the coupling needed to synchronize an array can be derived from the coupling topology and the coupling needed to synchronize two coupled dynamical systems
Keywords :
Chua´s circuit; coupled circuits; eigenvalues and eigenfunctions; network topology; nonlinear network analysis; oscillators; synchronisation; Chua´s oscillators; Laplacian matrix; coupling graph; coupling topology; linearly coupled dynamical systems; nonzero eigenvalue; synchronization; Application software; Coupling circuits; Eigenvalues and eigenfunctions; H infinity control; Laplace equations; Numerical simulation; Oscillators; Resistors; Sufficient conditions; Topology;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
