bifurcation diagram


Also found in: Financial, Wikipedia.

bifurcation diagram

A graphical depiction of the relationship between the values of one parameter and the behaviour of the system in which the parameter is being measured.

An example of a bifurcation diagramme is one produced for a logistic map—the x-axis represents all the values of k and the y-axis being all the possible states in the system; typically, the horizontal axis has the parameter and the vertical axis has some aspect of the solution, such as the norm of the solution, the maximum and/or minimum values of one of the state variables, the frequency of a solution or the average of one of the state variables.
References in periodicals archive ?
The process of a bifurcation diagram can be exemplified, as seen in Fig.
The bifurcation diagram and the Lyapunov exponents spectrum are showed in Fig 2.
Under the adiabatic condition, the bifurcation diagram for the two-cell model is drawn in Fig.
They include projects, bifurcation diagrams and life history tables, applied problems, historical information, and representations of topics visually, numerically, algebraically, and verbally, and place sequences, difference equations, and their applications in early chapters.
Our aim is to build complete bifurcation diagrams and to find unknown rare regular and chaotic attractors using complete bifurcation analysis for some important parameters of the model: the amplitudes and the frequency of excitation.
3]) and bifurcation diagrams are generated using temperature (150-500[degrees]C) as a bifurcation parameter and varying the CO concentration from 1400 ppm to 5000 ppm.
Figures 6a, 6b, and 6c present three bifurcation diagrams of [Theta](q) in case (1) where government interventions are strong (i.