Understanding Hysteresis Curves: Mathematical Modeling for Nonlinear ODEs

[mhill]

the idea is , if we have the magnetic field strength (H) and magnetic flux density (B) so we represent the 'hysteresis cycle' to be B(H)=B my question is could we deduce mathematically the hysteresis curve ?? for example if we can provide a model of a nonlinear ODE so

$$\frac{dB}{dH}= B^{r}- (1/B)$$

or something similar, i would be interested in the differential equation satisfied by B=B(H) thanks.

 

[pam]

Since B(H) is not a single valued function, or any simple function, of H, you cannot do what you are trying.