Bifurcation

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Bifurcation

When a non-linear dynamic system develops twice the possible solutions that it had before it passed its critical level. A bifurcation cascade is often called the period doubling route to chaos because the transition from an orderly system to a chaotic system often occurs when the number of possible solutions begins increasing, doubling each time.
References in periodicals archive ?
Methods: One hundred and fifty-nine consecutive patients were included (166 bifurcation lesions) in this prospective, single-center registry.
Coronary bifurcations lesions have to be treated in about 20% of all percutaneous coronary interventions, and so far several different technical approaches have been recommended, explained investigator Miroslaw Ferenc, MD, PhD from the University Heart Center Freiburg, in Bad Krozingen, Germany.
Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer, New York, NY, USA, 1986.
The critical value of time delay at which Hopf bifurcation occurs is obtained.
The significance of developing models for arterial bifurcations relate to the fact that disease mostly occurs near arterial bifurcations.
13) observed 65% of bifurcations of the mandibular canal in 122 CBCT scans.
Several cascade period-doubling bifurcations cause periodicity of the system solutions and finally create chaotic orbits on phase portraits.
The systematic research of rare attractors is based on the method of complete bifurcation groups (MCBG) [6].
The data, published in the Journal of the American College of Cardiology, show high rates of clinical success and low rates of restenosis compared to other studies of bifurcations, the company added.
To date in the US, no stents are approved for use in bifurcations.
2000) observed that Ir(110) shows bifurcations for the NO-[H.
Separating learning styles for the sake of certain tailor-made pedagogical procedures has also led to some non-productive bifurcations.