Morphisms and currents in infinite nonlinear resistive networks
Morphisms and currents in infinite nonlinear resistive networks
复制标题
无限非线性电阻网络中的态射和电流
DOI：
10.1007/bf01049393
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发表时间：
1993
期刊：
影响因子：
--
通讯作者：
P. Soardi
中科院分区：
文献类型：
--
作者：
P. Soardi
本文建立了模序列空间框架下的非线性电阻无穷大电网络理论。在引入网络态射的概念后，我们证明了无限网络中的电流可以用合适的有限网络中的电流来近似。详细研究了非线性网络的瑞利单调律。引入抛物线和双曲网络，并将其与线性网络类比。
In this paper we develop a theory of nonlinear resistive infinite electrical networks in the framework of modular sequence spaces. After introducing the notion of network morphism, we show that currents in infinite networks can be approximated by currents in suitable finite networks. Rayleigh monotonicity law for nonlinear networks is studied in detail. Parabolic and hyperbolic networks are introduced and characterized in analogy to the linear case.