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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Sensitive dependence on parameters of continuous-time nonlinear dynamical systems

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Author(s):
Medeiros, E. S. ; Caldas, I. L. ; Baptista, M. S.
Total Authors: 3
Document type: Journal article
Source: CHAOS SOLITONS & FRACTALS; v. 99, p. 16-19, JUN 2017.
Web of Science Citations: 0
Abstract

The sensitive dependence of periodicity and chaos on parameters is investigated for three-dimensional nonlinear dynamical systems. Previous works have found that noninvertible low-dimensional maps present power-law exponents relating the uncertainty between periodicity and chaos to the precision on the system parameters. Furthermore, the values obtained for these exponents have been conjectured to be universal in these maps. However, confirmation of the observed exponent values in continuous time systems remain an open question. In this work, we show that one of these exponents can also be found in different classes of three-dimensional continuous-time dynamical systems, suggesting that the sensitive dependence on parameters of deterministic nonlinear dynamical systems is typical. (C) 2017 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 11/19296-1 - Nonlinear dynamics
Grantee:Iberê Luiz Caldas
Support type: Research Projects - Thematic Grants
FAPESP's process: 13/26598-0 - Fractal boundaries between chaos and periodicity in the parameters space
Grantee:Everton Santos Medeiros
Support type: Scholarships in Brazil - Post-Doctorate