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.
Copyright © 2012, Campbell R. Harvey. All Rights Reserved.
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Hopf bifurcations in a reaction-diffusion population model with delay effect.
Bifurcation Analysis in a Delay Differential Equations, which Confers a Strong Allee Effect in Escherichia Coli
The significance of developing models for arterial bifurcations relate to the fact that disease mostly occurs near arterial bifurcations.
Development of silicone coronary bifurcation models for in vitro flow evaluation
In this study, the effects of [[bar.g].sub.Na] and [[bar.g].sub.K] on the stability and bifurcations of the model will be discussed, respectively, and collectively.
Effects of maximal sodium and potassium conductance on the stability of Hodgkin-Huxley model
Angles of confluence and bifurcation were measured to the nearest point five.
Geometric Features of Vertebrobasilar Arterial System in Adult Black Kenyans/ Caracteristicas Geometricas del Sistema Arterial Vertebrobasilar en Kenianos Negros Adultos
System (20a), (20b), (20c), and (20d) undergoes 3 different codimension-1 bifurcations: saddle-node bifurcation, equilibrium transition, and nonsmooth fold bifurcation.
Regularization of the Boundary-Saddle-Node Bifurcation
Holmes, "Bifurcations to divergence and flutter in flow-induced oscillations: a finite dimensional analysis," Journal of Sound and Vibration, vol.
Stability, Bifurcation, and Quenching Chaos of a Vehicle Suspension System
In our work, we provide a new idea to investigate the behavior, similar to continuous situation, by calculating normal form coefficients and finding the n-order focal values or Lyapunov coefficients [7, 19, 22, 27]; this is the first attempt to link limit cycles theory of continuous models with discrete models' invariant closed curves bifurcations by normal form coefficients and Lyapunov coefficients.
The Bifurcation of Two Invariant Closed Curves in a Discrete Model
Percutaneous therapy directed toward the SA/LIMA bifurcation was planned.
Treatment of an Unusual Occurrence of a Complex Left Subclavian Artery/Left Internal Mammary Artery Bifurcation Stenosis in the Setting of Coronary Subclavian Steal Syndrome and Ischemic Left Ventricular Systolic Dysfunction
Wang, "Imperfect transcritical and pitchfork bifurcations," Journal of Functional Analysis, vol.
Dynamics and Stability of Permanent-Magnet Synchronous Motor
In the 2D bifurcation diagrams, the system exhibits a sequence of flip bifurcations to chaos (which means that the market will fall into chaos), then to divergence at last (which means the players will be out of the market).
Study on Triopoly Dynamic Game Model Based on Different Demand Forecast Methods in the Market
From the bifurcation diagram depicted in Figure 2, we can see that the period of the ensemble mean response (EMR) varies from 1T to 2T and then to 4T and finally period-doubling bifurcations lead to chaos as the fractional-order q varies.
Period-Doubling Bifurcation of Stochastic Fractional-Order Duffing System via Chebyshev Polynomial Approximation
This is likely due to the proximal spread of local anesthetic that was observed in this investigation and may be occurring in patients with more distal SN bifurcations. Further studies should be aimed at stratifying patients based on bifurcation length and the analgesic benefit of lower volumes of injectate.
The Anatomic Relationship of the Tibial Nerve to the Common Peroneal Nerve in the Popliteal Fossa: Implications for Selective Tibial Nerve Block in Total Knee Arthroplasty

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