2009 California Food and Agricultural Code - Section 23251-23252 :: Article 1. Horses, Mules, Burros, Or Sheep

23251.  Any person that desires to use a brand on horses, mules,
burros, or sheep shall be governed by the same provisions and
procedures with reference to such animals as are made applicable to
the branding of cattle in Chapter 4 (commencing with Section 20601)
of Division 10 of this code, except Section 20668.

23251.1.  For the purposes of this article, "brand" also includes a
design which is made by applying a super-cold iron that permanently
causes white hair growth or a bald mark on the animal.
   As used in this section, "super-cold iron" means one that is
cooled to at least a minus 195 degrees Celsius (minus 319 degrees
Fahrenheit).

23252.  Any person that owns a registered cattle brand may use the
same brand on the same location on horses, mules, burros, sheep, or
swine if it is not in conflict with a previously registered brand.