Long-term carotid plaque progression and the role of intraplaque hemorrhage: A deep learning-based analysis of longitudinal vessel wall imaging. [PDF]
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Homoclinic flip bifurcation with a nonhyperbolic equilibrium
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Phase-flip bifurcation induced by time delay
Physical Review E, 2006We present a general bifurcation in the synchronized dynamics of time-delay-coupled nonlinear oscillators. The relative phase between the oscillators jumps from zero to pi as a function of the coupling; this phase-flip bifurcation is accompanied by a discontinuous change in the frequency of the synchronized oscillators.
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Flip Bifurcation of a Class of Discrete-time Neural Networks
2009 WRI Global Congress on Intelligent Systems, 2009In this paper, a class of discrete-time system modeling a network with two neurons is considered. Its flip bifurcations (also called period-doubling bifurcations for map) are demonstrated by deriving the equation describing the flow on the center manifold.
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Flip-Flip Bifurcation in a Mathematical Cardiac System
International Journal of Bifurcation and Chaos, 2019We study the intersection of double-flip (period-doubling) bifurcations in a parameter plane. We derive normal forms for discrete-time and continuous-time systems. Using these normal forms, we clarify the bifurcation structure around the flip-flip bifurcation point. We apply these analytical results to a system of coupled ventricular cell models.
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Resonant Homoclinic Flip Bifurcations
Journal of Dynamics and Differential Equations, 2000Homoclinic bifurcations gained a lot of attention because they are closely related to transitions to chaotic dynamics. Many kinds of homoclinic bifurcations were studied (the best known is the Shil'nikov case of a homoclinic orbit to a saddle-focus equilibrium).
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