What is a bifurcated analysis?

Bifurcation analysis is a powerful method for studying the steady-state nonlinear dynamics of systems. Software tools exist for the numerical continuation of steady-state solutions as parameters of the system are varied.

What is bifurcation stability analysis?

Bifurcation theory and stability analysis are very useful tools for investigating qualitatively and quantitatively the behavior of complex systems without determining explicitly the solutions of its governing equations for various initial and boundary conditions.

What are the types of bifurcation?

Heteroclinic bifurcations are of two types: resonance bifurcations and transverse bifurcations. Both types of bifurcation will result in the change of stability of the heteroclinic cycle.

What is a bifurcation used for?

Bifurcation is the splitting of a case into two separate trials. Generally, a civil lawsuit can be naturally divided into two major issues for a trier of fact, such as a judge or a jury, to decide: liability and damages. In a bifurcated case, the issues of liability and damages are decided separately.

Why do rivers bifurcate?

The split would have happened because the natural erosion of the river came in contact with this harder stone that resisted erosion and thus caused some of the current to be redirected to the other side. You can see this happen in rivers where there are islands and short term splits like in the Grand Canyon.

What is bifurcation with example?

Definition of bifurcation 1a : the point or area at which something divides into two branches or parts : the point at which bifurcating occurs Inflammation may occlude the bifurcation of the trachea. b : branch. 2 : the state of being divided into two branches or parts : the act of bifurcating.

What is the bifurcated process?

Bifurcated trial means that the trial is conducted in two stages. A common division is to determine liability or guilt in the first stage and damages or penalties in the second.

What is bifurcation ratio?

bifurcation ratio is the ratio of the number of the stream segments of given order ‘Nu’ to the number of streams in the next higher order (Nu+1), Table 1.

What is bifurcation equation?

dy / dt = fB (y) = y3 – By. This equation has an equilibrium point at 0 for all values of the parameter B. Two new equilibrium points (at the positive and negative square roots of B) arise when B > 0. Hence a bifurcation occurs at B = 0.

What is two stage bifurcated procedure?

What is the importance of bifurcation ratio?

Dimensionless number denoting the ratio between the number of streams of one order (see stream order) and those of the next-higher order in a drainage network. It may be a useful measure of proneness to flooding: the higher the bifurcation ratio, the greater the probability of flooding.