Abstract
The Hyperbolic Heat Transfer Equation describes heat processes
in which extremely short periods of time or extreme temperature gradients
are involved. It is already known that there are solutions of this equation
which exhibit a chaotic behaviour, in the sense of Devaney, on certain spaces
of analytic functions with certain growth control. We show that this chaotic
behaviour still appears when we add a source term to this equation, i.e. in the
Hyperbolic Bioheat Equation. These results can also be applied for the Wave
Equation and for a higher order version of the Hyperbolic Bioheat Equation.