Controlling dissipative and Hamiltonian chaos by a constant periodic pulse method

A constant periodic pulse method is proposed to control dissipative and Hamiltonian chaos. Using the convergence of the chaotic orbit in finite time, the stable segment of the chaotic orbit that satisfies the desired dynamical features can be made to form a closed orbit by the action of a proper perturbation on the system variables. A way to determine the intensity of the perturbation and the corresponding fixed points is presented. The method is robust against the presence of external noise.