Nonlinear Networks

  title={Nonlinear Networks},
  author={Richard James Duffin},
The object of this paper is to show that a certain system of nonlinear differential equations has one and only one periodic solution. These equations are of interest in that they describe the vibrations of a common type of electric network; therefore, the physical origin of the equations will be discussed first. A linear network is a collection of linear inductors, linear resistors, and linear capacitors arbitrarily interconnected. If a periodic electromotive force is applied to this network, a… CONTINUE READING

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