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Keywords = connections between chaos and statistical physics

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12 pages, 3305 KB  
Article
Generalized Pesin-Like Identity and Scaling Relations at the Chaos Threshold of the Rössler System
by Kivanc Cetin, Ozgur Afsar and Ugur Tirnakli
Entropy 2018, 20(4), 216; https://doi.org/10.3390/e20040216 - 23 Mar 2018
Cited by 4 | Viewed by 4416
Abstract
In this paper, using the Poincaré section of the flow we numerically verify a generalization of a Pesin-like identity at the chaos threshold of the Rössler system, which is one of the most popular three-dimensional continuous systems. As Poincaré section points of the [...] Read more.
In this paper, using the Poincaré section of the flow we numerically verify a generalization of a Pesin-like identity at the chaos threshold of the Rössler system, which is one of the most popular three-dimensional continuous systems. As Poincaré section points of the flow show similar behavior to that of the logistic map, for the Rössler system we also investigate the relationships with respect to important properties of nonlinear dynamics, such as correlation length, fractal dimension, and the Lyapunov exponent in the vicinity of the chaos threshold. Full article
(This article belongs to the Special Issue Nonadditive Entropies and Complex Systems)
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