Title
Observation of crises and bifurcations in the hodgkin-huxley neuron model
Abstract
With the changing of the stimulus frequency, there are a lot of firing dynamics behaviors of interspike intervals (ISIs), such as quasi-periodic, 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.
Year
DOI
Venue
2005
10.1007/11539087_50
ICNC (1)
Keywords
Field
DocType
dynamics behavior,changes change,interior crisis,stimulus frequency,chaotic attractor,chaotic behavior,external signal frequency,isis dynamics behavior,hodgkin-huxley neuron model,boundary crisis,deferent frequency region,hodgkin huxley
Statistical physics,Attractor,Discrete mathematics,Bursting,Biological neuron model,Control theory,Bifurcation diagram,Computer science,Chaotic,Periodic graph (geometry),Saddle-node bifurcation,Bifurcation
Conference
Volume
ISSN
ISBN
3610
0302-9743
3-540-28323-4
Citations 
PageRank 
References 
0
0.34
4
Authors
4
Name
Order
Citations
PageRank
Wuyin Jin1154.75
Qian Lin200.34
Yaobing Wei300.68
Ying Wu4195.40