Consider an nth-order continuous-time system (8.1)$$\dot x = f(x,a)$$ with a parameter α ∈ ℝ. As α changes, the limit sets of the system also change. Typically, a small change in α produces small quantitative changes in a limit set. For instance, perturbing α could change the position of a limit set slightly, and if the limit set is not an equilibrium point, its shape or size could also change. There is also the possibility that a small change α a can cause a limit set to undergo a qualitative change. Such a qualitative change is called abifurcation and the value of α at which a bifurcation occurs is called a bifurcation value.
Weitere Kapitel dieses Buchs durch Wischen aufrufen
- Bifurcation Diagrams
Thomas S. Parker
Leon O. Chua
- Springer New York
- Chapter 8
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