On the Equations of Nonlinear Networks
- 1 March 1966
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory
- Vol. 13 (1) , 74-81
- https://doi.org/10.1109/tct.1966.1082545
Abstract
A systematic method of selecting state variables and formulating the normal form differential equations of general classes of nonlinear networks is presented. It is shown that the key problem in the formulation of the differential equations is the calculation of certain functions which appear in these equations. Iterative procedures for the calculation of these functions are given for certain classes of networks, and it is shown that the conditions for convergence of these procedures are closely related to certain physical properties of the network. These procedures are readily adaptable to machime computation and can be made an integral part of any numerical method used for the solution of the differential equations of the network.Keywords
This publication has 5 references indexed in Scilit:
- Nonlinear RLC NetworksBell System Technical Journal, 1965
- A theory of nonlinear networks. IQuarterly of Applied Mathematics, 1964
- The Explicit Form of Bashkow's A MatrixIRE Transactions on Circuit Theory, 1962
- The order of complexity of electrical networksProceedings of the IEE Part C: Monographs, 1959
- The A Matrix, New Network DescriptionIRE Transactions on Circuit Theory, 1957