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 the q-exponential function plays an important role and that the nonlinear behaviors are critically concerned with network topology.

中文翻译：

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具有功率非线性的网络扩散方程解的行为

我们研究了一类具有大幂非线性的网络扩散方程。我们首先报告几种有趣的行为，例如同步和模式切换，然后在分析上阐明它们的机制。在整个调查过程中，我们证明了q指数函数起着重要作用，并且非线性行为与网络拓扑关系密切。