Abstract
We study the effect of a periodic modulation on the bifurcation parameter of the logistic oscillator. Remarkable results are obtained, including early chaos, resonance phenomena and the disappearance of period—doubling bifurcations. Also, long term unpredictable dynamics appears fornegativevalues of the Lyapunov exponent; the latter occurs when a resonant modulation is applied within the period-3 window.
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© 1991 Springer Science+Business Media Dordrecht
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Kiwi, M., Lazo, E., Rössler, J. (1991). Periodic Modulation of a Logistic Oscillator. In: Tirapegui, E., Zeller, W. (eds) Instabilities and Nonequilibrium Structures III. Mathematics and Its Applications, vol 64. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3442-2_5
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DOI: https://doi.org/10.1007/978-94-011-3442-2_5
Publisher Name: Springer, Dordrecht
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