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FRACTAL DISTRIBUTION OF REVERSE ITERATIONS IN MAPS WITH CHAOTIC DYNAMICS

Department of Generation of Oscillations and Signals, Moscow Power Engineering Institute, (Technical University), 14 Krasnokazarmennaya Str, Moscow, 111250, Russia

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MICHAEL KAPRANOV

Department of Generation of Oscillations and Signals, Moscow Power Engineering Institute, (Technical University), 14 Krasnokazarmennaya Str, Moscow, 111250, Russia

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https://doi.org/10.1142/S0218127407019548Cited by:0 (Source: Crossref)

Abstract

The features of processes of chaotic discrete map in reverse time are considered. The fractal distribution of reverse iteration points is indicated. The approach to investigating reverse points manifold based on special ordering methods is proposed.

Keywords:

References

Y. V. Andreyevet al., IEEE Trans. Circuits Syst. I: Fund. Th. Appl. 50, 613 (2003), DOI: 10.1109/TCSI.2003.811017. Crossref, Web of Science, Google Scholar
A. Arneodo, P. Coullet and C. Tresser, Phys. Lett. A 70, 74 (1979), DOI: 10.1016/0375-9601(79)90027-6. Crossref, Web of Science, Google Scholar
A. Dmitriev , G. Kassian and L. Kuzmin , Reconstruction of continuous time chaotic trajectory from symbolic sequence , Proc. ICCSC 2004 ( 2004 ) . Google Scholar
T. Habutsuet al., Trans. IEICE E 73, 1041 (1990). Google Scholar
T. Hiraoka and Y. Nishio , Analysis of a cryptosystem using a chaotic map extended to two dimensions , Proc. NCSP'04 ( 2004 ) . Google Scholar
Y. A. Kravtsov and J. B. Kadke , Predictability of Complex Dynamical Systems ( Springer-Verlag , Berlin , 1996 ) . Crossref, Google Scholar
V. N. Kuleshov and M. V. Larionova , Solution of inverse problem of chaotic dynamics forone-dimensional logistic map , Proc. Andronov Conf. ( 2001 ) . Google Scholar
A. I. Tomashevskiy and M. V. Kapranov , Generation of fractal structure in reverse time chaotic map , Proc. ICCSC 2004 ( 2004 ) . Google Scholar