Period matching in modulated maps |
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| Authors: | Sangeeta Batra V S Varma |
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| Institution: | (1) Department of Physics and Astrophysics, University of Delhi, 110 007 Delhi, India |
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| Abstract: | We study discrete nonlinear maps in which the control parameter is itself “modulated” by another discrete nonlinear map. We
show that for a certain class of such maps, which includes for example the logistic map, the periodicity of the modulated
signal is either one, independent of the periodicity of the modulating signal, or its periodicity is an integral multiple
of the periodicity of the modulating signal or it is chaotic. |
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| Keywords: | Two-dimensional discrete maps Sarkovski ordering Lyapunov exponents multiple basins |
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