  We propose to control the orbits of the two-dimensional Rulkov model affected
by bounded noise. For the correct parameter choice the phase space presents two
chaotic regions separated by a transient chaotic region in between. One of the
chaotic regions is the responsible to give birth to the neuronal bursting
regime. Normally, an orbit in this chaotic region cannot pass through the
transient chaotic one and reach the other chaotic region. As a consequence the
burstings are short in time. Here, we propose a control technique to connect
both chaotic regions and allow the neuron to exhibit very long burstings. This
control method defines a region Q covering the transient chaotic region where
it is possible to find an advantageous set $S \in Q$ through which the orbits
can be driven with a minimal control. In addition we show how the set S changes
depending on the noise intensity affecting the map, and how the set S can be
used in different scenarios of control.
