Abstract

Publisher Summary This chapter discusses the differential equations of electrical circuits and the global nature of the solutions. Most of the theories on circuit theory deal with linear equations and the Laplace transform. In current scenario, many engineering problems have led to differential equations that cannot be properly approximated by linear circuits. A typical situation is circuits having several steady state solutions, which is a nonlinear phenomenon. In the chapter, an electrical circuit consisting of a graph with several branches is considered. This electrical circuit contains a resistor and a battery, a condenser, or an inductor. The dynamic behavior of the electrical circuits is given by the set of differential equations. This simple device is quite useful for lower bounds for the switching times on tunnel diode circuits.

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