BIFURCATION IN ASYMMETRICALLY COUPLED BVP OSCILLATORS

BVP oscillator is the simplest mathematical model describing dynamical behavior of the neural activity. The large scale neural network can often be described naturally by coupled systems of BVP oscillators. However, even if two BVP oscillators are merely coupled by a linear element, the whole system exhibits complicated behavior. In this letter, we analyze a coupled BVP oscillators with asymmetrical coupling structure, besides, each oscillator has different internal resistance. The system shows a rich variety of bifurcation phenomena, and strange attractors. We calculate bifurcation diagrams in 2-parameter plane around which the chaotic attractors mainly appears and confirm relaxant phenomena in the laboratory experiments. We also briefly report a conspicuous strange attractor.

Electronic version of an article published as International Journal of Bifurcation and Chaos Vol. 13, No. 5, 2003, 1319-1327, DOI: 10.1142/S0218127403007199 © World Scientific Publishing Company, https://www.worldscientific.com/worldscinet/ijbc