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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大雨

Codimension-One Manifolds of Equilibriation 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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Book 2015g manifolds of equilibria, at points where normal hyperbolicity of the manifold is violated. The general theory, illustrated by many applications, aims at a geometric understanding of the local dynamics near the bifurcation points.

Fibrinogen

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https://doi.org/10.1007/978-3-319-66990-8 converge monotonically to some equilibrium. The balance law constructed of these two parts, however, can support profiles with oscillatory tails. They emerge from Poincaré–Andronov–Hopf bifurcations without parameters in the associated traveling-wave system.

LAPSE

Application: Oscillatory Profiles in Systems of Hyperbolic Balance Laws converge monotonically to some equilibrium. The balance law constructed of these two parts, however, can support profiles with oscillatory tails. They emerge from Poincaré–Andronov–Hopf bifurcations without parameters in the associated traveling-wave system.

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0075-8434 theory is complemented by many applicationsTargeted at mathematicians having at least a basic familiarity with classical bifurcation theory, this monograph provides a systematic classification and analysis of bifurcations without parameters in dynamical systems. Although the methods and concepts ar

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