THE FAMILY OF FUNCTIONS $S_{\alpha, k}$ AND THE LIENARD EQUATION
Copyright policy ) HAMILTON LUIZ GUIDORlZZI;
THE FAMILY OF FUNCTIONS $S_{\alpha, k}$ AND THE LIENARD EQUATION
In this paper we study qualitatively the Lienard Equation $\ddot x+f(x)\dot x+g(x)=0$ with aid of the non-usual family of funct10ns given by \[ S_{\alpha, k}(x, y)=\int^{y+F(x)-\alpha G(x)-k}_0 \frac{s}{\alpha s+1} ds +\int_0^x g(u) du\] where$F(x)=\int_0^x f(u) du$, $G(x)=\int_0^x g(u) du$ and $\alpha, k\in R$.
- Universidade de São Paulo Brazil
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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