Suppressing Chaotic Motion of The Complex Klein-Gordon Equation with External and Parametrical Excitations.

The chaotic motion of the complex Klein-Gordon equation (CKGE) with external and parametrical excitations is investigated in this study. First, the exact parametric expressions of two different orbits (homoclinic and heteroclinic) for the CKGE are obtained by the dynamical systems method. Then, the threshold condition of the homoclinic and heteroclinic chaos are detected via the Melnikov method. Furthermore, the state feedback control method is employed to suppress the both chaotic motion. Finally, the correctness of the theoretical results are examined based on the numerical simulation. [ABSTRACT FROM AUTHOR]