Behaviors of solutions to network diffusion equation with power-nonlinearity A role of the q-exponential function for sufficiently large power-exponent
Behaviors of solutions to network diffusion equation with power-nonlinearity A role of the q-exponential function for sufficiently large power-exponent
复制标题
具有幂非线性的网络扩散方程的解的行为 q 指数函数对于足够大的幂指数的作用
DOI：
10.1140/epjst/e2020-900202-5
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
and Atsumi Ohara
中科院分区：
文献类型：
--
作者：
Xiaoyan Zhang;Taiga Senyo;Hiroto Sakai;and Atsumi Ohara
研究了一类具有大幂非线性项的网络扩散方程。我们首先报告了几个有趣的行为，如同步和模式切换，然后分析阐明其机制。在整个研究过程中，我们证明了q-指数函数起着重要的作用，并且非线性行为与网络拓扑结构密切相关。
We study a certain class of network diffusion equation with large power-nonlinearity. We first report several interesting behaviors like synchronization and mode-switching, and next analytically clarify their mechanism. Throughout the investigation we demonstrate that theq-exponential function plays an important role and that the nonlinear behaviors are critically concerned with network topology.