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Bifurcations of stationary solutions with triple junctions in phase separation problems -- a new view of bifurcation analysis - MaRDI portal

Bifurcations of stationary solutions with triple junctions in phase separation problems -- a new view of bifurcation analysis (Q2389353)

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Bifurcations of stationary solutions with triple junctions in phase separation problems -- a new view of bifurcation analysis
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    Bifurcations of stationary solutions with triple junctions in phase separation problems -- a new view of bifurcation analysis (English)
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    15 July 2009
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    Bifurcation phenomena in dynamical systems occur essentially due to nonlinearities. The paper at hand, however, studies bifurcations from a purely linear perspective, in the sense that the authors modify the shape of the state space of a linear system in order to obtain bifurcations which are analogous to the classical one-dimensional bifurcations (pitchfork, saddle node and transcritical bifurcation). The arguments involved come from elementary geometry.
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    phase separation
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    curvature-driven motion
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    triple junction
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    bifurcation
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    linearity
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    nonlinearity
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