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Nonlinear Dynamics and Bifurcations in Autonomous RLC Circuits

  • Fernando Corinto
  • Mauro Forti
  • Leon O. Chua
Chapter
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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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Copyright information

© Springer Nature Switzerland AG 2021

Authors and Affiliations

  • Fernando Corinto
    • 1
  • Mauro Forti
    • 2
  • Leon O. Chua
    • 3
  1. 1.Department of Electronics & TelecommunicationsPolitecnico di TorinoTorinoItaly
  2. 2.Department of Information Engineering and MathematicsUniversity of SienaSienaItaly
  3. 3.University of CaliforniaBerkeleyUSA

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