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Titlebook: Bifurcation without Parameters; Stefan Liebscher Book 2015 The Editor(s) (if applicable) and The Author(s), under exclusive license to Spr

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Endovascular Venous Interventionsn ever growing interest in recent years [57]. The main focus is usually the synchronization of the cells of the network. Here, we study the converse phenomenon: under suitable symmetry assumptions, networks can decouple and continua of states emerge where all couplings cancel out each other and seve
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Alec A. Macaulay MD,Jeremy T. Smith MD. At isolated points, one of the non-degeneracy conditions (4.8, 4.9) may fail and codimension-two singularities appear. We shall discuss these degeneracies, first in a one-parameter-family of lines of equilibria and then along a two-dimensional equilibrium surface.
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Puncture of gynecological masses,sverse to a plane of equilibria. It turns out that instead we can study a one-parameter family of lines in a system depending on one parameter. Indeed, the rescaled normal form (11.6) is the same in both cases.
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Role of MRI in Prostate Cancer Assessment,—to the matter content. Bianchi models, in particular, are homogeneous but anisotropic solutions. They are given by a five-dimensional ODE system in expansion-reduced variables and feature the Kasner circle . of equilibria and caps filled with heteroclinic orbits connecting equilibria on .. On the K
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Radiation Therapy: Brachytherapyreduction has been used to find time-independent bounded solutions at the onset of instability of the system when the Reynolds number increases. We regard bounded solutions as evolutions in the unbounded direction of a cross-sectional profile, and find a six-dimensional center manifold. Three conser
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Image Fusion Principles: Theorytion also in Chaps. 5, 9, we removed the manifold of equilibria by multiplying with a singular factor 1∕. or 1∕.. This idea required that there is only one transverse direction to the manifold of equilibria. For such manifolds of codimension one, in phase space, we can generalize the idea.
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Degenerate Transcritical Bifurcation. At isolated points, one of the non-degeneracy conditions (4.8, 4.9) may fail and codimension-two singularities appear. We shall discuss these degeneracies, first in a one-parameter-family of lines of equilibria and then along a two-dimensional equilibrium surface.
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