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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.)

Complex Networks Approach for Dynamical Characterization of Nonlinear Systems

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Author(s):
Freitas, Vander L. S. [1] ; Lacerda, Juliana C. [1] ; Macau, Elbert E. N. [1, 2]
Total Authors: 3
Affiliation:
[1] Natl Inst Space Res, BR-12227010 Sao Jose Dos Campos, SP - Brazil
[2] Univ Fed Sao Paulo, BR-12247010 Sao Jose Dos Campos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS; v. 29, n. 13 DEC 15 2019.
Web of Science Citations: 0
Abstract

Bifurcation diagrams and Lyapunov exponents are the main tools for dynamical systems characterization. However, they are often computationally expensive and complex to calculate. We present two approaches for dynamical characterization of nonlinear systems via the generation of an undirected complex network that is built from their time series. Periodic windows and chaos can be detected by analyzing network statistics like average degree, density and betweenness centrality. Results are assessed in two discrete time nonlinear maps. (AU)

FAPESP's process: 17/24224-6 - Isochronous synchronization with propagation delay and the control of autonomous vehicles in formation movement
Grantee:Vander Luis de Souza Freitas
Support type: Scholarships abroad - Research Internship - Doctorate
FAPESP's process: 17/04552-9 - Synchronization and control of network of chaotic oscillator with applications to the control of mobile autonomous vehicles in formation movement
Grantee:Vander Luis de Souza Freitas
Support type: Scholarships in Brazil - Doctorate
FAPESP's process: 15/50122-0 - Dynamic phenomena in complex networks: basics and applications
Grantee:Elbert Einstein Nehrer Macau
Support type: Research Projects - Thematic Grants