Synchronization in networks of general, weakly nonlinear oscillators

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Synchronization in networks of general, weakly nonlinear oscillators

We present a general approach to the study of synchrony in networks of weakly nonlinear systems described by singularly perturbed equations of the type x′′ + x + f(x, x′) = 0. By performing a perturbative calculation based on normal form theory we analytically obtain an O( ) approximation to the Floquet multipliers that determine the stability of the synchronous solution. The technique allows u...

متن کامل

Synchronization of weakly nonlinear oscillators with Huygens' coupling.

In this paper, the occurrence of synchronization in pairs of weakly nonlinear self-sustained oscillators that interact via Huygens' coupling, i.e., a suspended rigid bar, is treated. In the analysis, a generalized version of the classical Huygens' experiment of synchronization of two coupled pendulum clocks is considered, in which the clocks are replaced by arbitrary self-sustained oscillators....

متن کامل

Modelling Synchronization in TCP Networks Using Weakly-Coupled Oscillators

In this paper, we consider a fluid model of a TCP network consisting of many edge routers directing traffic through a common core link equipped with a small buffer. We are interested in how packet loss at this core router can dynamically couple, and potentially synchronize, the edge traffic. By using concepts from weakly-coupled oscillator theory, we show that synchronization occurs when a so-c...

متن کامل

Synchronization in Generalized Erdös-Rényi Networks of Nonlinear Oscillators

In this paper, we study synchronization of complex random networks of nonlinear oscillators, with specifiable expected degree distribution. We review a sufficient condition for synchronization and a sufficient condition for desynchronization, expressed in terms of the eigenvalue distribution of the Laplacian of the graph and the coupling strength. We then provide a general way to approximate th...

متن کامل

Synchronization of weakly perturbed Markov chain oscillators.

Rate processes are simple and analytically tractable models for many dynamical systems that switch stochastically between a discrete set of quasistationary states; however, they may also approximate continuous processes by coarse-grained, symbolic dynamics. In contrast to limit-cycle oscillators that are weakly perturbed by noise, in such systems, stochasticity may be strong, and topologies mor...

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

ژورنال

عنوان ژورنال: Journal of Physics A: Mathematical and General

سال: 2004

ISSN: 0305-4470,1361-6447

DOI: 10.1088/0305-4470/37/49/004