RELATIVE KOLMOGOROV ENTROPY OF A CHAOTIC SYSTEM IN THE PRESENCE OF NOISE
2008 ◽
Vol 18
(09)
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pp. 2851-2855
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Keyword(s):
The mixing property is characterized by the metric entropy that is introduced by Kolmogorov for dynamical systems. The Kolmogorov entropy is infinite for a stochastic system. In this work, a relative metric entropy is considered. The relative metric entropy allows to estimate the level of mixing in noisy dynamical systems. An algorithm for calculating the relative metric entropy is described and examples of the metric entropy estimation are provided for certain chaotic systems with various noise intensities. The results are compared to the entropy estimation given by the positive Lyapunov exponents.
1996 ◽
Vol 06
(04)
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pp. 759-767
Keyword(s):
2017 ◽
Vol 11
(2)
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pp. 96-103
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Keyword(s):
1995 ◽
Vol 05
(01)
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pp. 297-302
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2009 ◽
Vol 19
(11)
◽
pp. 3841-3853
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2021 ◽
Vol 31
(11)
◽
pp. 2150168
2014 ◽
Vol 24
(05)
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pp. 1450073
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Keyword(s):
2012 ◽
Vol 34
(2)
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pp. 594-615
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