Academic Paper
Tetsushi Ueta, Hisayo Miyazaki, Takuji Kousaka, Hiroshi Kawakami, Bifurcation and chaos in coupled BVP oscillators, World Scientific, International Journal of Bifurcation and Chaos, Vol.14, No.4, 1305-1324, Mar. 2004.
Abstract: Bonh¨offer van der Pol(BVP) oscillator is a classic model exhibiting typical nonlinear phenomena in the planar autonomous system. This paper gives an analysis of equilibria, periodic solutions, strange attractors of two BVP oscillators coupled by a resister. When an oscillator is fixed its parameter values in nonoscillatory region and the others in oscillatory region, create the double scroll attractor due to the coupling. Bifurcation diagrams are obtained numerically from the mathematical model and chaotic parameter regions are clarified. We also confirm the existence of period-doubling cascades and chaotic attractors in the experimental laboratory.