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Random Finite Approximations of Chaotic Maps

  • Jesús Urías
  • Eric Campos
  • Nikolai F. Rulkov
Part of the Institute for Nonlinear Science book series (INLS)

Keywords

Markov Chain Invariant Measure Chaotic System Stochastic Matrix Chaotic Signal 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    See, for example, recent special focus issues devoted to chaos-based communication systems: IEEE Trans. Circuits Syst.-I, vol. 48, 2001; IEEE Trans. Circuits Syst.-I, vol. 47, 2000; Int. J. Circ. Theory Appl., vol. 27, 1999.Google Scholar
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    A. Bauer, Chaotic signals for CW-ranging systems. A baseband system model for distance and bearing estimation, Proceedings of the 1998 IEEE International Symposium on Circuits and Systems, (ISCAS’ 98, Monterey, CA, USA), vol. 3, pp. 275–278, 1998.Google Scholar
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    P. Billingsley, Probability and Measure, 3rd ed. (Wiley, NY, 1995).zbMATHGoogle Scholar
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    G.M. Maggio, N.F. Rulkov, and L. Reggiani, Pseudo-chaotic time hopping for UWB impulse radio, IEEE Trans. Circuits Syst.-I, vol. 48, pp. 1424–1435, 2001.zbMATHMathSciNetCrossRefGoogle Scholar
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    L.M. Pecora, T.L. Carroll, G.A. Johnson, D.J. Mar, and J.F. Heagy, Fundamentals of Synchronization in chaotic systems, concepts, and applications, Chaos, vol. 7, pp. 520–543, 1997.zbMATHMathSciNetGoogle Scholar
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    J. von Neumann and S.M. Ulam, On combination of stochastic and deterministic processes, Bull. AMS, vol. 33, 1120, 1947.Google Scholar
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    M. Pollicott and M. Yuri, Dynamical systems and ergodic theory (Cambridge University Press, 1998).Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2006

Authors and Affiliations

  • Jesús Urías
    • 1
  • Eric Campos
    • 1
  • Nikolai F. Rulkov
    • 2
  1. 1.IICO-UASLPSan Luis PotosíMexico
  2. 2.Institute for Nonlinear ScienceUniversity of CaliforniaSan Diego, La Jolla

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