Nonlinear Differential Equation

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Discussion Overview

The discussion revolves around examples of nonlinear differential equations in the context of circuit modeling, specifically focusing on the conditions under which such equations arise in electrical circuits.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant requests an example of a nonlinear differential equation used in circuit modeling.
  • Another participant mentions Cuha's circuit as a notable example without providing details.
  • A participant suggests that for a circuit to be modeled by a nonlinear differential equation, it must include a nonlinear resistor.
  • It is noted that circuits require non-linear elements, such as diodes or transistors, to exhibit nonlinear behavior.
  • A specific example of a tunnel diode is provided, highlighting its negative resistance characteristic and its implications for modeling and applications like oscillators.

Areas of Agreement / Disagreement

Participants generally agree that nonlinear elements are necessary for nonlinear differential equations in circuit modeling, but specific examples and details remain varied and not fully resolved.

Contextual Notes

The discussion does not clarify the specific types of nonlinear differential equations or the mathematical formulations involved, leaving some assumptions and definitions implicit.

b2386
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Hi all,

Can anyone please give me an example of a nonlinear differential equation used to model a certain type of circuit?

Thanks
 
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Cuha's circuit is a pretty famous one:

"[URL
 
Last edited by a moderator:
So in order for a circuit to be modeled by a nonlinear differential equation, the circuit must contain a nonlinear resistor?
 
A circuit has to contain a non-linear element like a diode or transistor to behave non-linearly.

A tunnel diode behaves as if it had negative resistance. As the voltage across the diode is increased, current decreases. That leads to cool modelings and applications such as oscillators.
 

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