  Quasi-integrable Hamiltonian systems are of great interest in many research
fields of physics and mathematics. In these systems, the phase space has
regular and chaotic trajectories. These trajectories depend in part on the
magnitude of perturbation that breaks the integrability of the system. The
value of the critical perturbation responsible for this transition is a key
element in the control of chaos .
  In this paper, we explore a procedure for the control in quasi-integrable
Hamiltonian systems via canonical map. Initially, we present the basic tools
for this study: Hamiltonian map, linearization of the map and Chirikov
criterion. Subsequently, we investigated the behavior of a wave-particle
interaction front perturbation. Finally, we confront with a numerical
analytical approach (iteration of the map) results, showing a good agreement.
