科研之友
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摘要
We simulate a fractional feed-forward network. This network consists of three coupled identical 'cells' (aka, oscillators). We study the behaviour of the associated coupled cell system for variation of the order of the fractional derivative, 0 < alpha < 1. We consider the Caputo derivative, approximated by the Grunwald-Letnikov approach, using finite differences of fractional order. There is observed amplification of the small signals by exploiting the nonlinear response of each oscillator near its intrinsic Hopf bifurcation point for each value of alpha. The value of the Hopf bifurcation point varies with the order of the fractional derivative alpha.
- 出版日期2017-11-30
