Next Article in Journal
Quantifying Tolerance of a Nonlocal Multi-Qudit State to Any Local Noise
Next Article in Special Issue
Hedging for the Regime-Switching Price Model Based on Non-Extensive Statistical Mechanics
Previous Article in Journal
Comprehensive Evaluation of Coal-Fired Power Units Using Grey Relational Analysis and a Hybrid Entropy-Based Weighting Method
Previous Article in Special Issue
Non-Gaussian Closed Form Solutions for Geometric Average Asian Options in the Framework of Non-Extensive Statistical Mechanics
Article Menu
Issue 4 (April) cover image

Export Article

Open AccessArticle
Entropy 2018, 20(4), 216; https://doi.org/10.3390/e20040216

Generalized Pesin-Like Identity and Scaling Relations at the Chaos Threshold of the Rössler System

Department of Physics, Faculty of Science, Ege University, 35100 Izmir, Turkey
These authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Received: 16 February 2018 / Revised: 15 March 2018 / Accepted: 20 March 2018 / Published: 23 March 2018
(This article belongs to the Special Issue Nonadditive Entropies and Complex Systems)
Full-Text   |   PDF [3305 KB, uploaded 23 March 2018]   |  

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 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. View Full-Text
Keywords: nonlinear dynamics; connections between chaos and statistical physics; dissipative systems nonlinear dynamics; connections between chaos and statistical physics; dissipative systems
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Cetin, K.; Afsar, O.; Tirnakli, U. Generalized Pesin-Like Identity and Scaling Relations at the Chaos Threshold of the Rössler System. Entropy 2018, 20, 216.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top