Deadlocks in the synchronization of pulse-coupled oscillators on star graphs
نویسندگان
چکیده
منابع مشابه
Global Synchronization of Pulse-Coupled Oscillators Interacting on Cycle Graphs
The importance of pulse-coupled oscillators (PCOs) in biology and engineering has motivated research to understand basic properties of PCO networks. Despite the large body of work addressing PCOs, a global synchronization result for networks that are more general than all-to-all connected is still unavailable. In this paper we address global synchronization of PCO networks described by cycle gr...
متن کاملSynchronization of finite-state pulse-coupled oscillators
We propose a simple cellular automata model for discrete-time pulse-coupled oscillators and study its network behavior. Given a finite simple graph and an integer n ≥ 3, each vertex will be considered as an identical oscillator of period n with the following weak coupling along the edges: any oscillator with a particular "blinking" state will postpone the update of its neighbors whose states ar...
متن کاملPartial synchronization in populations of pulse-coupled oscillators.
I study the long-term behavior of populations of nonlinear oscillators with all-to-all, noninstantaneous, pulse coupling. With fast enough excitatory coupling both the fully synchronized and the asynchronous state are unstable. In this case individual units fire quasiperiodically even though the network as a whole shows a periodic firing pattern. The behavior of networks with three or more unit...
متن کاملSynchronization in populations of sparsely connected pulse-coupled oscillators
We propose a population model for δ-pulse-coupled oscillators with sparse connectivity. The model is given as an evolution equation for the phase density which take the form of a partial differential equation with a non-local term. We discuss the existence and stability of stationary solutions and exemplify our approach for integrate-and-fire-like oscillators. While for strong couplings, the fi...
متن کاملSynchronization in Pulse-Coupled Oscillators with Delayed Excitatory/Inhibitory Coupling
Due to their rich behaviors, pulse-coupled oscillator (PCO) networks have been widely studied. Prior research has focused on systems with excitatory, inhibitory, and mixed excitatory/inhibitory coupling, as well as on systems with and without delays in pulse transmission. This article focuses on PCO networks with delayed excitatory/inhibitory coupling. We consider a simple phase transition rule...
متن کاملذخیره 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: Physical Review E
سال: 2020
ISSN: 2470-0045,2470-0053
DOI: 10.1103/physreve.102.062211