On the Stability and Multistability in a Duopoly Game with R&D Spillover and Price Competition

Figure 14

The corresponding basin of attraction for different values of , and the parameters are fixed as , , , , , and . (a) : a chaotic attractor and its attracting domain. (b) When the parameter is equal to 1.49, a few holes start to arise in the feasible region. (c) At , more holes arise. (d) At , the fractal structure of the attracting domain is very obvious, and many small holes are interconnected to larger holes. (e) A chaotic attractor and its attracting domain when we fix parameter as 1.679, and the chaotic attractor starts to contact with the boundary of its basin; a global bifurcation will happen. (f) At , the chaotic attractor disappears and the ghost of its basin is still surviving.

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