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    Hopf Bifurcation Analysis for a Four-Dimensional Recurrent Neural Network with Two Delays by Zizhen Zhang, Huizhong Yang

    Published 2013-01-01
    “…In particular, explicit formulae for determining the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are established by using the normal form theory and center manifold theory. Some numerical examples are also presented to verify the theoretical analysis.…”
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    Some New Characterizations of Trivial Ricci–Bourguignon Solitons by Hana Al-Sodais, Nasser Bin Turki, Sharief Deshmukh, Bang-Yen Chen, Hemangi Madhusudan Shah

    Published 2025-01-01
    “…Each trivial Ricci–Bourguignon soliton is an Einstein manifold. The main purpose of this paper is to discover geometric conditions on compact Ricci–Bourguignon solitons for which the solitons are trivial. …”
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    Conformally symplectic structures and the Lefschetz condition by Lejmi, Mehdi, Wilson, Scott O.

    Published 2024-11-01
    “…Namely, for any compact symplectic manifold satisfying the hard Lefschetz condition in degree 1, every locally conformally symplectic structure is in fact globally conformally symplectic, whenever there is a mutually compatible almost complex structure.…”
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