Phase synchronization in two coupled chaotic neurons

✍ Scribed by Jian-Wei Shuai; Dominique M. Durand

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 433 KB
• Volume: 264
• Category: Article
• ISSN: 0375-9601
• DOI: 10.1016/s0375-9601(99)00816-6

✦ Synopsis

Chaotically-spiking dynamics of Hindmarsh-Rose neurons are discussed based on a flexible definition of phase for chaotic flow. The phase synchronization of two coupled chaotic neurons is in fact the spike synchronization. As a multiple time-scale model, the coupled HR neurons have quite different behaviors from the Rossler oscillators only having single ẗime-scale mechanism. Using such a multiple time-scale model, the phase function can detect synchronization dynamics that cannot be distinguished by cross-correlation. Moreover, simulation results show that the Lyapunov exponents cannot be used as a definite criterion for the occurrence of chaotic phase synchronization for such a system. Evaluation of the phase function shows its utility in analyzing nonlinear neural systems.