Behaviors of solutions to network diffusion equation with power-nonlinearity
A role of the q-exponential function for sufficiently large power-exponent
Department of Electrical and Electronics Engineering, University of Fukui,
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Received in final form: 18 November 2019
Published online: 12 March 2020
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.
© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature, 2020