Mathematical Aspects of Electrical Network Analysis

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Herbert S. Wilf, Frank Harary
American Mathematical Soc., 1971 - Technology & Engineering - 206 pages
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Contents

Nonlinear Reciprocal Networks
1
A New Perturbation Theory for the Synthesis of Nonlinear Networks
17
Numerical Techniques for Fast and Accurate Transient Analysis of Nonlinear Circuits
35
Graph Theory and Some of its Applications in Electrical Network Theory
45
Network Models
65
On Global Linearization
93
Successive Secants in the Solution of Nonlinear Network Equations
103
Existence and Uniqueness of Solution to Electrical Network Problem via Homology Sequences
113
Some Properties of a Nonlinear Model of a System for Synchronizing Digital Transmission Networks
119
Equivalent Nonlinear Networks
141
Some Applications in Electrical Network Theory of a Linear Graph Theorem by Berge and GhouilaHouri
149
A Review of Some Recent Developments in the Synthesis of Rational Multivariate PositiveReal Matrices
161
Kirchhoffs Laws and MapColoring Problems
191
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