Pulse-Coupled Networks of Non-Autonomous Integrate-and-Fire Oscillators and Classification Functions
نویسندگان
چکیده
Abstract This paper presents a pulse-coupled network (PCN) and considers its basic functions in terms of electronic circuits. The PCN consists of integrate-andre oscillators (IFO) coupled inhibitory to each other, and can accept an external input via excitatory coupling. When the input is given by mixing some independent pulse-trains, the PCN exhibits an interesting winner-take-all function and the original pulse-trains can be recovered. An e cient test circuit is implemented and the classi cation function can be veri ed in the laboratory.
منابع مشابه
Anomalous Synchronization of Integrate-and-Fire Oscillators with Global Coupling
We study an infinite assembly of integrate and fire oscillators with global coupling. Numerical simulations reveal that the time required for the mutual synchrony of all the oscillators exhibits singular behavior as a function of the interaction strength. The origin of this anomalous synchronization is elucidated by a theoretical analysis. Synchronization is one of the most fascinating nonlinea...
متن کاملBasic Dynamics from a Pulse-Coupled Network of Autonomous Integrate-and-Fire Chaotic Circuits
This paper studies basic dynamics from a novel pulse-coupled network (PCN). The unit element of the PCN is an integrate-and-fire circuit (IFC) that exhibits chaos. We an give an iff condition for the chaos generation. Using two IFC, we construct a master-slave PCN. It exhibits interesting chaos synchronous phenomena and their breakdown phenomena. We give basic classification of the phenomena an...
متن کاملHow synaptic weights determine stability of synchrony in networks of pulse-coupled excitatory and inhibitory oscillators.
Under which conditions can a network of pulse-coupled oscillators sustain stable collective activity states? Previously, it was shown that stability of the simplest pattern conceivable, i.e., global synchrony, in networks of symmetrically pulse-coupled oscillators can be decided in a rigorous mathematical fashion, if interactions either all advance or all retard oscillation phases ("mono-intera...
متن کاملSynchronization from Pulse-Coupled Integrate-and-Fire Chaotic Oscillators
This paper studies mutually coupled integrateand-fire type chaotic oscillators. The coupling is realized by impulsive switchings and the system exhibits various synchronous and asynchronous phenomena. We give a basic classification of the chaos synchronization phenomena and their breakdown patterns. The stability of the synchronous states can be confirmed using the piecewise exact solutions, an...
متن کاملTraveling Waves in a Chain of Pulse-Coupled Oscillators
We derive conditions for the existence of traveling wave solutions in a chain of pulse-coupled integrate-and-fire oscillators with nearest-neighbor interactions and distributed delays. A linear stability analysis of the traveling waves is carried out in terms of perturbations of the firing times of the oscillators. It is shown how traveling waves destabilize when the detuning between oscillator...
متن کامل