Chaotic Spike-Train with Line-Like Spectrum

• MATSUOKA Yusuke

  Hosei University

• HASEGAWA Tomonari

  Hosei University

• SAITO Toshimichi

  Hosei University

Abstract

This paper studies a simple spiking oscillator having piecewise constant vector field. Repeating vibrate-and-fire dynamics, the system exhibits various spike-trains and we pay special attention to chaotic spike-trains having line-like spectrum in distribution of inter-spike intervals. In the parameter space, existence regions of such phenomena can construct infinite window-like structures. The system has piecewise linear trajectory and we can give theoretical evidence for the phenomena. Presenting a simple test circuit, typical phenomena are confirmed experimentally.

Journal

• IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

  IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E92-A (4), 1142-1147, 2009

  The Institute of Electronics, Information and Communication Engineers

Keywords

• chaos
• bifurcation
• switched dynamical systems
• spiking neurons

Details

• CRID: 1390282681287116288
• NII Article ID: 10026857169
• NII Book ID: AA10826239
• DOI: 10.1587/transfun.e92.a.1142
• BIBCODE: 2009IEITF..92.1142M
• ISSN: 17451337
• ISSN: 09168508
• Web Site: http://www.jstage.jst.go.jp/article/transfun/E92.A/4/E92.A_4_1142/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed