Strange nonchaotic attractor in a dynamical system under periodic forcing

We observe the occurrence of a strange nonchaotic attractor in a periodically driven two-dimensional map, formerly proposed as a neuron model and a sequence generator. We characterize this attractor through the study of the Lyapunov exponents, fractal dimension, autocorrelation function and power sp...

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Hauptverfasser: Cassol, Andre S, Veiga, Fabio L. S, Tragtenberg, Marcelo H. R
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Sprache:eng
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Zusammenfassung:We observe the occurrence of a strange nonchaotic attractor in a periodically driven two-dimensional map, formerly proposed as a neuron model and a sequence generator. We characterize this attractor through the study of the Lyapunov exponents, fractal dimension, autocorrelation function and power spectrum. The strange nonchaotic attractor in this model is a typical behavior, occupying a finite range of the parameter space.
DOI:10.48550/arxiv.cond-mat/0002329