Volume 57, Number 1, January 2002
|Page(s)||7 - 13|
|Published online||01 September 2002|
Route to chaos via strange non-chaotic attractors by reshaping periodic excitations
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
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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