Examining the Chaotic Behavior in Dynamical Systems by Means of the 0-1 Test
Joint Authors
Zachilas, Loukas
Psarianos, Iacovos N.
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-19
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We perform the stability analysis and we study the chaotic behavior of dynamical systems, which depict the 3-particle Toda lattice truncations through the lens of the 0-1 test, proposed by Gottwald and Melbourne.
We prove that the new test applies successfully and with good accuracy in most of the cases we investigated.
We perform some comparisons of the well-known maximum Lyapunov characteristic number method with the 0-1 method, and we claim that 0-1 test can be subsidiary to the LCN method.
The 0-1 test is a very efficient method for studying highly chaotic Hamiltonian systems of the kind we study in our paper and is particularly useful in characterizing the transition from regularity to chaos.
American Psychological Association (APA)
Zachilas, Loukas& Psarianos, Iacovos N.. 2012. Examining the Chaotic Behavior in Dynamical Systems by Means of the 0-1 Test. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-993542
Modern Language Association (MLA)
Zachilas, Loukas& Psarianos, Iacovos N.. Examining the Chaotic Behavior in Dynamical Systems by Means of the 0-1 Test. Journal of Applied Mathematics No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-993542
American Medical Association (AMA)
Zachilas, Loukas& Psarianos, Iacovos N.. Examining the Chaotic Behavior in Dynamical Systems by Means of the 0-1 Test. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-993542
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993542