Analysis of responses of three-dimensional spiking oscillators to pulse-train input
نویسندگان
چکیده
This paper studies responses of threedimensional (3-D) spiking oscillators to pulse-train input. The 3-D spiking oscillator consists of a linear subcircuit and a state-resetting switch. In order to analyze responses of the circuits, we introduce a mapping procedure based on a one-dimensional (1-D) return map. We then consider a simple 3-D spiking oscillator based on an RLC circuit. For equidistant and non-equidistant periodic pulse-train inputs, this simple circuit can exhibit rich responses including chaos. We analyze these responses numerically by using the 1-D return maps and their Lyapunov exponents. Key-Words: Nonautonomous system, pulse-train, mapping procedure, chaos, bifurcation, synchronization
منابع مشابه
Various synchronization patterns from a pulse-coupled neural network of chaotic spiking oscillators - Neural Networks, 2001. Proceedings. IJCNN '01. International Joint Conference on
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