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Truncated States Obtained by Iteration |
W. B. Cardoso1;N. G. de Almeida2 |
1Instituto de Fisica, Universidade Federal de Goias, 74.001-970, Goiania (GO), Brazil 2Nucleo de Pesquisas em Fisica, Universidade Catolica de Goia s, 74.605-220, Goiania (GO), Brazil. |
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Cite this article: |
W. B. Cardoso, N. G. de Almeida 2008 Chin. Phys. Lett. 25 517-520 |
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Abstract We introduce the concept of truncated states obtained via iterative processes (TSI) and study its statistical features, making an analogy with dynamical systems theory (DST). As a specific example, we have studied TSI for the doubling and the logistic functions, which are standard functions in studying chaos. TSI for both the doubling and logistic functions exhibit certain similar patterns when their statistical features are compared from the point of view of DST.
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Keywords:
42.50.-p
42.65.Sf
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Received: 01 January 1900
Published: 30 January 2008
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PACS: |
42.50.-p
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(Quantum optics)
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42.65.Sf
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(Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics)
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