Role of ultrasubharmonic resonances in taming chaos by weak harmonic perturbations
Departamento de Electrónica e Ingeniería Electromecánica
Escuela de Ingenierías Industriales, Universidad de Extremadura
Apartado postal 382, E-06071,
Accepted: 12 February 2001
A general method is discussed concerning reduction of homoclinic and heteroclinic instabilities for a wide class of dissipative systems subjected to two small harmonic perturbations (one chaos-inducing and the other chaos-suppressing) which verify an ultrasubharmonic resonance condition: , , p,q positive integers and the chaos-suppressing (inducing) frequency. The relevance of the theoretical findings on steady-chaos suppression is confirmed by means of Lyapunov exponent calculations of a Duffing oscillator.
PACS: 05.45.Gg – Control of chaos, applications of chaos / 05.45.Pq – Numerical simulations of chaotic models
© EDP Sciences, 2001