]>The Emergence of <i>Bull and Bear</i> Dynamics in a Nonlinear Model of Interacting Markets : Figure 7
310471.fig.007a
(a)
310471.fig.007b
(b)
Figure 7: Change of stability in the two-dimensional case. Parameters are 𝑎 𝐻 = 0 . 4 1 , 𝑏 𝐻 = 0 . 1 1 , 𝑐 𝐻 = 0 . 8 3 , 𝛾 𝐻 = 0 . 3 , 𝐹 𝐻 = 4 . 2 7 9 , 𝐹 𝑆 = 6 . 0 7 , 𝑑 = 0 . 3 5 , and 𝑓 = 0 . 7 . In (a), at 𝑒 = 0 . 1 2 4 6 9 7 , the attractors are the fixed points 𝑃 2 and 𝑂 , their basins are bounded by the stable manifold of 𝑃 1 . In (b), at 𝑒 = 2 . 2 2 , the attractors are 𝑃 1 and 𝑃 2 , the border between basins ℬ 1 and ℬ 2 is the stable manifold of the fundamental equilibrium 𝑂 .