Volume 54, Number 2, April 2001
|Page(s)||148 - 153|
|Published online||01 December 2003|
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.