ar X iv : n lin / 0 10 90 20 v 1 [ nl in . C D ] 1 8 Se p 20 01 Autonomous Bursting in a Homoclinic System
نویسندگان
چکیده
A continuous train of irregularly spaced spikes, peculiar of homoclinic chaos, transforms into clusters of regularly spaced spikes, with quiescent periods in between (bursting regime), by feeding back a low frequency portion of the dynamical output. Such autonomous bursting results to be extremely robust against noise; we provide experimental evidence of it in a CO 2 laser with feedback. The phenomen here presented display qualitative analogies with bursting phenomena in neurons. Spiking occurs in many physical and biological systems [1]; in neurons it is associated with the generation of action potentials [2]. In general, spikes occur irregularly and the precise time position of each spike within a train is considered to code relevant information [3]. A single neuron can also show a more complicated firing pattern, that is, bursting. The term bursting refers to short trains of rapid spike oscillations intercalated by quiescent intervals, which periodically repeat. This behavior is found in many excitable biological systems as well as in chemical reactions [4–6]. In the neural context bursting phenomena have been found in different cell types: examples include thalamic neurons [7], hippocampal pyramidal neurons [8] and pancreatic β-cells [9,10]. The understanding of mechanisms underlying bursting is based on the fundamental work of Rinzel [11], accordingly to whom the neuron dynamics 1
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