| Issue |
Europhys. Lett.
Volume 57, Number 1, January 2002
|
|
|---|---|---|
| Page(s) | 7 - 13 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2002-00533-6 | |
| Published online | 01 September 2002 | |
Route to chaos via strange non-chaotic attractors by reshaping periodic excitations
1
Departamento de Electrónica e
Ingeniería Electromecánica Escuela de
Ingenierías Industriales, Universidad de
Extremadura Apartado Postal 382, E-06071 Badajoz, Spain
2
Departamento de Física Aplicada, Escuela
Universitaria Politécnica Universidad de
Castilla-La Mancha - E-13400 Almadén (Ciudad
Real), Spain
Received:
10
April
2001
Accepted:
22
October
2001
We present theoretical and numerical evidence for a new route,
strange nonchaotic behavior 
chaos, in
two-period quasiperiodically driven dynamical systems by
solely changing the excitation waveform. A characteristic
signature of this route is the existence of a sequence of
intervals over a wide range of waveforms for which only
strange non-chaotic attractors or chaos appear, alternatingly. We
also found that the largest nontrivial Lyapunov exponent passes
through zero linearly near each transition point, which confirms
and extends the scaling behavior previously reported for other
control parameters.
PACS: 05.45.Ac – Low-dimensional chaos / 05.45.Pq – Numerical simulations of chaotic models / 05.45.Gg – Control of chaos, applications of chaos
© EDP Sciences, 2002
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