Synchronization from Pulse-Coupled Integrate-and-Fire Chaotic Oscillators
نویسندگان
چکیده
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, and the basic mechanism of the phenomena can be elucidated by a simple geometric consideration. The typical phenomena are confirmed in the laboratory. key words: integrate-andre model, chaos, synchronization,
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 کاملSynchronization of integrate and fire oscillators with global coupling.
In this article we study the behavior of globally coupled assemblies of a large number of Integrate and Fire oscillators with excitatory pulse-like interactions. On some simple models we show that the additive effects of pulses on the state of Integrate and Fire oscillators are sufficient for the synchronization of the relaxations of all the oscillators. This synchronization occurs in two forms...
متن کاملOFFPRINT Collective chaos in pulse-coupled neural networks
We study the dynamics of two symmetrically coupled populations of identical leaky integrate-and-fire neurons characterized by an excitatory coupling. Upon varying the coupling strength, we find symmetry-breaking transitions that lead to the onset of various chimera states as well as to a new regime, where the two populations are characterized by a different degree of synchronization. Symmetric ...
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 کاملVarious synchronization patterns from a pulse-coupled neural network of chaotic spiking oscillators - Neural Networks, 2001. Proceedings. IJCNN '01. International Joint Conference on
We present a pulse-coupled neural network (PCNN) of chaotic spiking oscillators (CSOs) with a spike-train input. The PCNN exhibits the following phenomena: each CSO synchronizes with a part of the spike-train input (a) without overlapping or (b) with overlapping. We clarify parameter regions for these phenomena. The PCNN has various synchronization states and exhibits one of them depending on t...
متن کاملذخیره 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 2000