词汇 | bifurcation |
释义 | bifurcation noun formaluk /ˌbaɪ.fəˈkeɪ.ʃən/ us /ˌbaɪ.fɚˈkeɪ.ʃən/ [ U ] the fact that something is divided into two parts or the act of dividing something into two parts分枝;分叉 [ C ] either of the two parts into which something divides分枝后的一枝;分叉后的一部分 Separating and dividing apheresis atomize bifurcate bisect borderline dissociable dissociate dissociate yourself from something dissociation disunion parcel something out partible periodization periodize polarize ungraded unjoined unmix unmixable unmixed You can also find related words, phrases, and synonyms in the topics: Words meaning parts of things Examples of bifurcationbifurcation Connected simple systems, transition matrices and heteroclinic bifurcations. On some global bifurcations connected with disappearance of a saddle-node fixed point. General bifurcations from periodic solutions with spatiotemporal symmetry, including mode interactions and resonances, in preparation. Further increase of the wave amplitude leads to further bifurcations and eventually to a chaotic surface agitation. However, qualitative analysis of equilibria, bifurcations or asymptotic behaviour is more difficult than with differential equation models. We discuss the dependence of stationary measures on an auxiliary parameter, thus describing bifurcations of families of random diffeomorphisms. The following local bifurcations can be found by straightforward calculations. He gave properties of the non-wandering set, traced the genealogies of the periodic points of period 5, and described their stability types and bifurcations. Much of the original motivation for developing the theory of bifurcations with symmetry came from fluid mechanical experiments in the laboratory. The rather short length of the vortex is characteristic of the disturbance for symmetrybreaking pitchfork bifurcations. Morphological bifurcations involving reaction-diffusion processes during microtubule formation. Also, complicated price dynamics can only be generated through saddle-nodetype bifurcations. We can reduce the problem of detecting bifurcations one step further, by noting the following. Typically, transition to chaos takes place through bifurcations. The density of saddle-node bifurcations of periodic orbits implies the following corollary. See all examples of bifurcation These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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