Proceeding of International Conference
Akihisa Tamura, Tetsushi Ueta, Bifurcation analysis for a simple chaotic circuit and its coupled systems, Proc. NOLTA'07, 529-532, Vancouver, Sep. 2007.
Abstract: Tamasevicius et. al proposed a very simple chaotic oscillator. Some experimental results, origin of the mathematical model, and numerical simulations are reported. However, bifurcation analysis has not been investigated in details. In this paper, we compute bifurcation sets of this model by using bifurcation theory and discuss its dynamical properties. The bifurcation structures are identified in various parameter planes. Moreover we investigate chaos synchronization in its coupled system. Synchronization of periodic and chaotic states are depicted in the bifurcation diagram, and it is clarified that the period-doubling bifurcation is deeply related to desynchronization.