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2012 Examining the Chaotic Behavior in Dynamical Systems by Means of the 0-1 Test
Loukas Zachilas, Iacovos N. Psarianos
J. Appl. Math. 2012: 1-14 (2012). DOI: 10.1155/2012/681296


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.


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Loukas Zachilas. Iacovos N. Psarianos. "Examining the Chaotic Behavior in Dynamical Systems by Means of the 0-1 Test." J. Appl. Math. 2012 1 - 14, 2012.


Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1243.37060
MathSciNet: MR2923365
Digital Object Identifier: 10.1155/2012/681296

Rights: Copyright © 2012 Hindawi

Vol.2012 • 2012
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