| Issue |
Europhys. Lett.
Volume 54, Number 2, April 2001
|
|
|---|---|---|
| Page(s) | 148 - 153 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2001-00288-6 | |
| 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,
Badajoz, Spain
Received:
12
October
2000
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
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