On the 0/1 test for chaos in continuous systems-Reference-Cited by-同舟云学术

On the 0/1 test for chaos in continuous systems

Published:2016-09-01 Issue:3 Volume:64 Page:521-528
ISSN:2300-1917
Container-title:Bulletin of the Polish Academy of Sciences Technical Sciences
language:
Short-container-title:

Author:

Melosik M.,Marszalek W.

Abstract

Abstract In this paper we discuss in detail the resonance and oversampling features of the 0/1 test for chaos in continuous systems and propose methods to avoid those undesired features. Our method is based on certain frequency properties of the 0/1 test. When reconstructing the phase space, our approach is compared with the first minimum of the mutual information method. Several numerical results for typical chaotic systems (including memristive circuits) are included.

Publisher

Walter de Gruyter GmbH

Subject

Artificial Intelligence,Computer Networks and Communications,General Engineering,Information Systems,Atomic and Molecular Physics, and Optics

Link

https://www.degruyter.com/view/j/bpasts.2016.64.issue-3/bpasts-2016-0058/bpasts-2016-0058.pdf

Reference19 articles.

1. An IC chip of Chua s circuit II : IEEE Analog and Digital;Cruz;IEEE Trans Circ Syst Proc,1993

2. Mixed - mode oscillations in a modified Chua s circuit;Marszalek;Circuits Syst Signal Process,2010

3. and Detection of the chaotic behaviour of a bouncing ball by the test Solitons;Litak;Chaos Fractals,2009

4. Wen - wen Tung Jianbo Gao and Yinhe Reliability of the test for chaos;Hu;Phys Rev,2005

5. Examining the chaotic behavior in dynamical systems by means of the test;Zachilas;Appl Math,2012

Cited by 21 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Persistent homology of coarse-grained state-space networks;Physical Review E;2023-03-02

2. New bifurcation diagrams based on hypothesis testing: Pseudo-periodic surrogates with correlation dimension as discriminating statistic;Mechanical Systems and Signal Processing;2023-03

3. A versatile mathematical function for generating stable and chaotic systems: A data encryption application;Chaos, Solitons & Fractals;2023-02

4. Application of 0-1 test for chaos on forward converter to study the nonlinear dynamics;Scientific Reports;2022-09-20

5. On Physically Unacceptable Numerical Solutions Yielding Strong Chaotic Signals;Entropy;2022-05-30