Observation of Crises and Bifurcations in the
Hodgkin-Huxley Neuron Model
Wuyin Jin1, Qian Lin2, Yaobing Wei1, and Ying Wu3
1 College of Mechano-Electronic Engineering,
Lanzhou University of Technology, Lanzhou 730050, China
jinwuyin@263.net
2 College of Petrochemical Technology, Lanzhou University of Technology,
Lanzhou 730050, China
3 College of Science, Lanzhou University of Technology,
Lanzhou 730050, China
Abstract. With the changing of the stimulus frequency, there are a lot
of firing dynamics behaviors of interspike intervals (ISIs), such as quasiperiodic,
bursting, period-chaotic, chaotic, periodic and the bifurcations
of the chaotic attractor appear alternatively in Hodgkin-Huxley (H-H)
neuron model. The chaotic behavior is realized over a wide range of
frequency and is visualized by using ISIs, and many kinds of abrupt undergoing
changes of the ISIs are observed in deferent frequency regions,
such as boundary crisis, interior crisis and merging crisis displaying alternately
along with the changes changes of external signal frequency,
too. And there are many periodic windows and fractal structures in ISIs
dynamics behaviors. The saddle node bifurcation resulted collapses of
chaos to period-12 orbit in dynamics of ISIs is identified.
From www.elsevier.com