9 May 2001 Effect of noise on probability measure of saddle cycles
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Abstract
Saddle cycles play an important role in solving the problem of controlling complex dynamics in optical systems. Therefore studying the influence of noise on the structure and properties of saddle cycles is actual task. In the paper, the pointwise dimension of saddles cycles for different types of chaotic attractors is considered in the presence and in the absence of noise. The obtained results are analyzed from a controlling chaotic dynamics viewpoint.
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I. A. Khovanov, N. A. Khovanova, G. A. Okrokverckhov, "Effect of noise on probability measure of saddle cycles", Proc. SPIE 4243, Saratov Fall Meeting 2000: Laser Physics and Photonics; and Spectroscopy and Molecular Modeling, (9 May 2001); doi: 10.1117/12.426700; https://doi.org/10.1117/12.426700
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