- #1
cianfa72
- 3,011
- 313
- TL;DR
- About necessary conditions for the existence of "Resistor function" for a generic dynamic non linear network
Hi,
I'm reading the following paper (L. Chua) about the state-of-art of dynamic non linear circuit analysis -- Chua_Dynamic_Circuits
I've a doubt about Theorem 2 on section 3.2 On the Existence of the Resistor Function that establishes sufficient conditions for the existence of network "Resistor function". In the rest of the paper it is said that conditions 1-3 of Theorem 2 are actually necessary for the existence of the resistor function.
I believe it is incorrect because, as mentioned before in the paper, we can build counterexamples to show that is not the case (take for instance an a-dynamic non linear "resistor" having an i-v voltage-controlled characteristic described by a Lipschitz function). Actually the necessary condition should be just the first one.
What do you think about ?
I'm reading the following paper (L. Chua) about the state-of-art of dynamic non linear circuit analysis -- Chua_Dynamic_Circuits
I've a doubt about Theorem 2 on section 3.2 On the Existence of the Resistor Function that establishes sufficient conditions for the existence of network "Resistor function". In the rest of the paper it is said that conditions 1-3 of Theorem 2 are actually necessary for the existence of the resistor function.
I believe it is incorrect because, as mentioned before in the paper, we can build counterexamples to show that is not the case (take for instance an a-dynamic non linear "resistor" having an i-v voltage-controlled characteristic described by a Lipschitz function). Actually the necessary condition should be just the first one.
What do you think about ?