# American Institute of Mathematical Sciences

September  2006, 1(3): 467-494. doi: 10.3934/nhm.2006.1.467

## Homogenization of linear spatially periodic electronic circuits

 1 Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695, United States

Received  February 2006 Revised  June 2006 Published  July 2006

In this paper we establish a simplified model of general spatially periodic linear electronic analog networks. It has a two-scale structure. At the macro level it is an algebro-differential equation and a circuit equation at the micro level. Its construction is based on the concept of two-scale convergence, introduced by the author in the framework of partial differential equations, adapted to vectors and matrices. Simple illustrative examples are detailed by hand calculation and a numerical simulation is reported.
Citation: Michel Lenczner. Homogenization of linear spatially periodic electronic circuits. Networks and Heterogeneous Media, 2006, 1 (3) : 467-494. doi: 10.3934/nhm.2006.1.467
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