# Changes

,  02:00, 22 September 2015
Line 534: Line 534:
The first thing to do is to change the model from impedance to admittance form

The first thing to do is to change the model from impedance to admittance form
and write the definition of the internal variable in an "implicit form"
+
and write the constitutive relation for the internal variable in an "implicit form"

$[itex] \left\{ \left\{ \begin{array}{l} \begin{array}{l} Q(V(t), x(t)) = \dfrac{1}{\mu} \dot{x} - I(t) = 0\\ + \dfrac{1}{\mu} \dot{x} + Q(V(t), x(t)) = \dfrac{1}{\mu} \dot{x} - I(t) = 0\\ H(x) = \left\{ H(x) = \left\{ \begin{array}{l} \begin{array}{l} Line 552: Line 552:$

[/itex]
−
It is then useful to compute the derivatives
+
It is then useful to compute the derivatives for the current and for the constitutive relation
+

+
$+ \dfrac{\partial I}{\partial x} = -\dfrac{H'(x)}{H(x)^2} +$
+

+
$+ \dfrac{\partial I}{\partial V} = \dfrac{1}{H} +$
349

edits