# bifurcation

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Related to bifurcation: Bifurcation theory, Bifurcation diagram

## bifurcation

[bī·fər′kā·shən]
(mathematics)
The appearance of qualitatively different solutions to a nonlinear equation as a parameter in the equation is varied.
(science and technology)
Division into two branches, parts, or aspects.
Point at which division occurs.
References in periodicals archive ?
Vasca, "Self-oscillations and sliding in relay feedback systems: Symmetry and bifurcations," International Journal of Bifurcation and Chaos, vol.
At the left end of the gas explosion test chamber, the gas-filling area was set and high energy ignition device could be used to ignite gas; at the right end, one-way bifurcation pipeline and pressure sensors were installed to test shock wave overpressure at pipeline bifurcation, as shown in Figure 2.
To acquire a more representative bifurcation number, weighted mean bifurcation ratio is attained by multiplying the bifurcation ratio for each successive pair of orders by the total numbers of streams included in the ratio and taking the mean of the sum of these values [23].
In every subject, the SN and its branches, CPN and TN, were visualized and could be traced back to the proximal bifurcation using the ultrasound probe.
In addition, if [gamma] > 1, system (3) would have two stable equilibrium points and one unstable equilibrium point and if [gamma] < 1, system (3) would only have one stable equilibrium point, and the pitchfork bifurcation occurs at [gamma] = 1.
For convenience, we choose [e.sub.2] = 1 and [e.sub.3] = 1.1 and study the interactive relationships between [e.sub.1] and [alpha] by 2D bifurcation diagrams.
When q = 0.984, from the phase portrait and time history diagram shown in Figures 3(c) and 3(d), it can be observed that the system has a steady-state periodic EMR with period 1T, which is consistent with the bifurcation diagram in Figure 2.
Reddy alleged that the promises made in the parliament at the time of bifurcation were not fulfilled and that led to critical backward condition financially and socially.
Under the company's pivotal WEB Intrasaccular Therapy Trial (WEB-IT), the WEB System is effective in attaining positive long-term clinical results in a safe, single-device procedure for wide neck bifurcation aneurysms.
Mr Latif said that earlier last year, when Prime Minister Imran Khan visited Chitral, the local people demanded bifurcation of the district.
Charles Laverty, CEO of Advanced Bifurcation Systems, is convinced that new solutions in stenting are required.

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