ESTIMATION OF MIXING VELOCITY IN CHAOTIC SYSTEMS
Cite this article as:
Logunov М. Y., Butkovskii О. Y. ESTIMATION OF MIXING VELOCITY IN CHAOTIC SYSTEMS. Izvestiya VUZ. Applied Nonlinear Dynamics, 2008, vol. 16, iss. 4, pp. 74-82. DOI: https://doi.org/10.18500/0869-6632-2008-16-4-74-82
In the paper an effect of phase space trajectories mixing in chaotic systems is considered. Approximate analytic estimations are given of mixing dynamics in discrete and continuous chaotic systems. Easy algorithm is developed for experimental calculation of mixing degree and mixing velocity, both local and average over the attractor. Results of this algorithm application to Henon map and to Chua system are discussed.
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BibTeX
author = {М. Yu. Logunov and О. Ya. Butkovskii},
title = {ESTIMATION OF MIXING VELOCITY IN CHAOTIC SYSTEMS},
year = {2008},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {16},number = {4},
url = {https://old-andjournal.sgu.ru/en/articles/estimation-of-mixing-velocity-in-chaotic-systems},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2008-16-4-74-82},pages = {74--82},issn = {0869-6632},
keywords = {-},
abstract = {In the paper an effect of phase space trajectories mixing in chaotic systems is considered. Approximate analytic estimations are given of mixing dynamics in discrete and continuous chaotic systems. Easy algorithm is developed for experimental calculation of mixing degree and mixing velocity, both local and average over the attractor. Results of this algorithm application to Henon map and to Chua system are discussed. }}