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  1. 501

    Dynamic Properties of a Forest Fire Model by Na Min, Hongyang Zhang, Zhilin Qu

    Published 2012-01-01
    “…By using the normal form approach theory and center manifold theory, we analyze the stability of the trivial solution and Hopf bifurcation of this model. …”
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    Kinetic Theory with Casimir Invariants—Toward Understanding of Self-Organization by Topological Constraints by Zensho Yoshida

    Published 2024-12-01
    “…A topological constraint, characterized by the Casimir invariant, imparts non-trivial structures in a complex system. We construct a kinetic theory in a constrained phase space (infinite-dimensional function space of macroscopic fields), and characterize a self-organized structure as a thermal equilibrium on a leaf of foliated phase space. …”
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    Possibilia: Possible Worlds and the Limitless in Architecture by Sean Pickersgill

    Published 2017-07-01
    “…It is the question of how a speculative project can ‘exist’ in our understanding of the world in a meaningful, non-trivial fashion that is the subject of this article. …”
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  9. 509

    Fully homomorphic encryption scheme from RLWE by Dian-hua TANG, Shi-xiong ZHU, Lin WANG, Hao-miao YANG, Jia FAN

    Published 2014-01-01
    “…Based on the somewhat homomorphic scheme of Kristin Lauter et al.a new technique,called Relinearization with key switching was presented.Combining this technique with modulus switching,a (leveled) fully homomorphic encryption scheme without bootstrapping from RLWE were designed.Homomorphic operations of this scheme is simple,and trivial gate operation given in the scheme can make level structure of circuit clearer.Finally,bootstrapping was used as optimization to evaluate capability of the proposed scheme.…”
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  10. 510

    Stability of a delay equation arising from ajuvenile-adult model by Azmy S. Ackleh, Keng Deng

    Published 2010-09-01
    “…We give respective conditions onthe vital rates to ensure local stability of the positiveequilibrium and global stability of the trivial equilibrium. We alsoshow that under certain conditions the equation undergoes a Hopfbifurcation. …”
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    Global Asymptotic Stability in a Class of Reaction-Diffusion Equations with Time Delay by Yueding Yuan, Zhiming Guo

    Published 2014-01-01
    “…By using a fluctuation method, combined with the careful analysis of the corresponding characteristic equations, we obtain some sufficient conditions for the global asymptotic stability of the trivial solution and the positive steady state to the equations subject to the Neumann boundary condition.…”
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    Hydrodynamic modes of holographic Weyl semimetals by Nishal Rai, Karl Landsteiner

    Published 2025-01-01
    “…The model features quantum phase transition between a topological phase and a trivial phase. We put particular emphasis on the hydrodynamic modes and show that a hydrodynamic mode is present only in the topological Weyl semimetal phase.…”
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    Tunnel Back Analysis Based on Differential Evolution Using Stress and Displacement by Joon-Sang An, Kyung-Nam Kang, Ju-Young Choi, Won-Suh Sung, Vathna Suy, Ki-Il Song

    Published 2020-01-01
    “…Because the internal displacement of a segment-lined tunnel is trivial, it is difficult to analyze the stability of segment-lined tunnels using the conventional method. …”
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