Open AccessStudy of an integrate-and-discharge model with symbolic dynamics
Author(s) -
Chong Chen,
Jiong Ding,
Hong Zhang,
Zhuo Chen
Publication year - 2013
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.62.140502
Subject(s) - correctness , symbolic dynamics , computer science , basis (linear algebra) , sequence (biology) , amplitude , resolution (logic) , algorithm , relation (database) , modulation (music) , dynamics (music) , the symbolic , theoretical computer science , data mining , artificial intelligence , physics , mathematics , acoustics , optics , psychology , psychoanalysis , pure mathematics , geometry , biology , genetics
An integrate-and-discharge model (IDM) is proposed on the basis of an integrate-and-fire model (IFM). Compared with the IFM, the IDM can obtain rich dynamic information including chaos, phase locking, etc., without using varying threshold modulation. The corresponding relation between output symbolic sequences and parameters (i.e., frequency, amplitude, resistance and capacity) of the IDM is established by using symbolic dynamics. Moreover, a method of obtaining symbolic sequence as well as an ordering rule is presented. Simulation and circuit experiment validate the correctness of the method and the rule. The results of circuit experiment show that the frequency resolution can reach up to 0.05 Hz in some frequency ranges and the amplitude resolution can reach up to 1 μA.