کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1898168 1534072 2006 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Emergence of synchronization in complex networks of interacting dynamical systems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Emergence of synchronization in complex networks of interacting dynamical systems
چکیده انگلیسی

We study the emergence of coherence in large complex networks of interacting heterogeneous dynamical systems. We show that for a large class of dynamical systems and network topologies there is a critical coupling strength at which the systems undergo a transition from incoherent to coherent behavior. We find that the critical coupling strength at which this transition takes place is kc=(Zλ)−1kc=(Zλ)−1, where ZZ depends only on the uncoupled dynamics of the individual systems on each node, while λλ is the largest eigenvalue of the network adjacency matrix. Thus we achieve a separation of the problem into two parts, one depending solely on the node dynamics, and one depending solely on network topology.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 224, Issues 1–2, December 2006, Pages 114–122
نویسندگان
, , ,