Bifurcation in coupled BVP neurons with external impulsive forces

Author

Kitajima, Hiroyuki ; Kawakami, Hiroshi

Author_Institution

Kagawa Univ., Takamatsu, Japan

Volume

3

fYear

2001

fDate

6-9 May 2001

Firstpage

285

Abstract

We investigate bifurcation and chaos observed in coupled BVP neurons with external impulsive forces. Although the single neuron without the external force has only one equilibrium point, combining these n (n⩾3) neurons unidirectionally in a ring, n-phase periodic solutions are generated. Applying the impulsive forces, successive period-doubling bifurcations of the n-phase solution occur and chaotic states, namely n-phase chaos, appear. When n=2 and 3, we find the parameter regions in which the switching phenomena of burst firing are observed. Moreover, the mechanisms of the switching phenomena are clarified by numerical bifurcation analysis

Keywords

bifurcation; chaos; circuit stability; neural nets; switching; burst firing; chaos study; chaotic states; coupled BVP neurons; equilibrium point; external impulsive forces; n-phase chaos; n-phase periodic solutions; numerical bifurcation analysis; period-doubling bifurcations; switching phenomena; Bifurcation; Biomembranes; Chaos; Couplings; Neurons; Nonlinear equations; Pattern analysis; Signal processing;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on

Conference_Location

Sydney, NSW

Print_ISBN

0-7803-6685-9

Type

conf

DOI

10.1109/ISCAS.2001.921303

Filename

921303