Topological Determinants of Synchronizability of Oscillators on Large Complex Networks

نویسندگان

  • Weihan Li
  • Changsong Zhou
چکیده

Synchronized oscillations play an important role in many biological systems. In recent years, much work has been done on oscillating biomolecular systems, both experimentally and theoretically. A better insight into oscillation mechanisms, coupling strategies and related biological processes is gained by quantitative analysis. Here we summarized some of recent work on oscillation and synchronization in biological systems and reviewed the basic concepts of synchronization of coupled oscillators and dynamics on complex networks.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Synchronizability and Synchronization Dynamics of Weighed and Unweighed Scale Free Networks with Degree Mixing

We study the synchronizability and the synchronization dynamics of networks of nonlinear oscillators. We investigate how the synchronization of the network is influenced by some of its topological features such as variations of the power law exponent γ and the degree correlation coefficient r. Using an appropriate construction algorithm based on clustering the network vertices in p classes acco...

متن کامل

Enhancing synchronization in growing networks

Most real systems are growing. In order to model the evolution of real systems, many growing network models have been proposed to reproduce some specific topology properties. As the structure strongly influences the network function, designing the function-aimed growing strategy is also a significant task with many potential applications. In this letter, we focus on synchronization in the growi...

متن کامل

Enhancement of Synchronizability of the Kuramoto Model with Assortative Degree-Frequency Mixing

Assortative mixing feature is an important topological property in complex networks. In this paper, we extend degree-degree mixing feature to non-identical nodes networks. We propose the degree-frequency correlation coefficient to measure the correlations between the degree and the natural frequency of oscillators. We find that the perfect assortative degree-frequency network is quite easy to s...

متن کامل

Achieving synchronization of networks by an auxiliary hub

In this letter, we study complete synchronization in quite generic networks of coupled oscillators, where both the connectivity topology and coupling mechanism may be arbitrary. We propose a method, i.e., introducing an auxiliary hub which decreases the average path length and meanwhile increases the clustering coefficient of the network, to achieve complete synchronization. We demonstrate that...

متن کامل

Enhancing complex-network synchronization

– Heterogeneity in the degree (connectivity) distribution has been shown to suppress synchronization in networks of symmetrically coupled oscillators with uniform coupling strength (unweighted coupling). Here we uncover a condition for enhanced synchronization in weighted networks with asymmetric coupling. We show that, in the optimum regime, synchronizability is solely determined by the averag...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2011