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    Skein modules of links in cylinders over surfaces by Jens Lieberum

    Published 2002-01-01
    “…We define the Conway skein module 𝒞 (M) of ordered based links in a 3-manifold M. This module gives rise to 𝒞 (M)-valued invariants of usual links in M. …”
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    Stability and Bifurcation Analysis in a Class of Two-Neuron Networks with Resonant Bilinear Terms by Changjin Xu, Xiaofei He

    Published 2011-01-01
    “…Some explicit formulae for determining the stability and the direction of the Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using the normal form theory and center manifold theory. Finally, numerical simulations supporting the theoretical analysis are carried out.…”
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    Dynamic System Analysis of Investment in Both Production and R&D with Time Delay by Debao Gao

    Published 2022-01-01
    “…By using the normal form theory and the center manifold theory, the discriminant formula of periodic solution property of investment model is given. …”
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    Local controllability does imply global controllability by Boscain, Ugo, Cannarsa, Daniele, Franceschi, Valentina, Sigalotti, Mario

    Published 2023-12-01
    “…We say that a control system is locally controllable if the attainable set from any state $x$ contains an open neighborhood of $x$, while it is controllable if the attainable set from any state is the entire state manifold. We show in this note that a control system satisfying local controllability is controllable. …”
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    Management of Insect and Mite Resistance in Ornamental Crops by James F. Price, Elzie McCord, Jr., Curtis Nagle

    Published 2013-01-01
    “…During the 1970s and early 1980s leafminer outbreaks heavily damaged herbaceous ornamental crops such as chrysanthemum, gypsophila, aster, and marigold in fields, shade houses and greenhouses. Several effective insecticides including organophosphates, carbamates, pyrethroids, and a triazine were identified for leafminer control during the outbreak; however, control was short-lived as the leafminer developed resistance to each insecticide. …”
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    Analysis of the Dynamical Properties of Discrete Predator-Prey Systems with Fear Effects and Refuges by Wei Li, Chunrui Zhang, Mi Wang

    Published 2024-01-01
    “…The critical coefficients and properties of bifurcating periodic solutions for Flip and Hopf bifurcations are computed using the center manifold theorem and bifurcation theory. Additionally, numerical simulations are employed to illustrate the bifurcation phenomenon and chaos characteristics. …”
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