Summary
International Symposium on Nonlinear Theory and its Applications
2010
Session Number:C3L-D
Session:
Number:C3L-D1
Analyses of Coupled Hindmarsh-Rose Type Bursting Oscillators
Koji Kurose, Takahiro Sota, Yoshihiro Hayakawa, Shigeo Sato, Koji Nakajima,
pp.619-622
Publication Date:2010/9/5
Online ISSN:2188-5079
Summary:
We proposed the Inverse function Delayed model(ID model) as one of neuron models [1]. In addition, we have propose Burst firing ID model [2] of Hodgkin- Huxley(H-H) type model that has the burst oscillating characteristics with three variables, because we consider that the burst dynamics has prospects of capabilities of effective tool for information processing consequently. The burst ID model is explained with a new concept that the neuron dynamics is expressed as a motion of a quasi particle in a potential with active areas, and then we are able to apply the concept to others. Through the technique, we are able to foresee the landscape of solutions with the curvature of the potential and design the wave forms if we place the active area on the potential properly [3]. In this paper, we apply this concept to coupling systems and the concept is effective in the interconnected systems too, and analyze the dynamics of the coupled models with the burst firing characteristics.