Pinning chaotic synchronization in complex networks on maximum eigenvalue of low order matrix. (Chinese. English summary) Zbl 1265.93137
Summary: We find the decreasing law of maximum eigenvalue of the principal sub-matrix for coupling matrix, propose a method of calculating quickly pinning nodes in complex networks, and reveal the relation between the pinning strategy and the number pinning nodes. Numerical simulations show the trends of evolution under the conditions of three pinning strategies in a scale-free network and a small world, and the effectiveness of the pinning synchronization by selecting pinning nodes randomly in a scale-free network.
MSC:
93C10 | Nonlinear systems in control theory |
37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
91D30 | Social networks; opinion dynamics |
05C82 | Small world graphs, complex networks (graph-theoretic aspects) |