Abstract
Various differential equations that arise in circuit theory are investigated in this chapter. The first example is the RLC circuit equation. A more general type of system is the Lienard equation. The final example is the van der Pol equation. Here we show that all nonzero solutions tend to a periodic solution. Again the associated Poincare map is the tool that provides this result. A Hopf bifurcation often arises in circuit equations, and these new types of bifurcations are described in this chapter. A final exploration involves a system from neurodynamics, the Fitzhugh–Nagumo equations.
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