Anzeige
Erschienen in:
1989 | OriginalPaper | Buchkapitel
Bifurcation Diagrams
verfasst von : Thomas S. Parker, Leon O. Chua
Erschienen in: Practical Numerical Algorithms for Chaotic Systems
Verlag: Springer New York
Enthalten in: Professional Book Archive
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
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.