Nearly 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 the 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 of chaos in nearly integrable Hamiltonian system based on a parameter change (perturbation). Initially, we present the basic tools for this study: Hamiltonian map, linearization map and Chirikov criterion. Subsequently, we investigated the behavior of a wave-particle interaction type front perturbation. Finally, we confront the analytical approach with a numerical (iteration of the map) results, showing a good agreement.
Hamiltonian systems; chaos; chaos control
