Nonlinear Circuits and Systems with Memristors pp 131-159 | Cite as
Nonlinear Dynamics and Bifurcations in Autonomous RLC Circuits
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Abstract
In this brief chapter we discuss some fundamental dynamic phenomena that can be observed in nonlinear circuits containing time-invariant resistors, inductors, capacitors, and dc sources (autonomous RLC circuits). In Chap. 6 we will study analogous dynamic phenomena for nonlinear circuits containing also memristors. While in first-order autonomous circuits any bounded solution converges to an equilibrium point (EP), second-order circuits with locally active nonlinear resistors can display nonvanishing oscillations, as negative resistance oscillators belonging to the class of Van der Pol oscillators. More complex dynamics, as chaotic dynamics, can be observed in third-order autonomous circuits, the most famous example being Chua’s oscillator.
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