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Fractal Boundaries between chaos and periodicity in the parameters space.

Grant number: 13/26598-0
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): June 01, 2014
Effective date (End): July 01, 2019
Field of knowledge:Physical Sciences and Mathematics - Physics - Classical Areas of Phenomenology and Applications
Principal Investigator:Iberê Luiz Caldas
Grantee:Everton Santos Medeiros
Home Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:18/03211-6 - Non linear dynamics, AP.TEM
Associated scholarship(s):17/05521-0 - Tipping Points Triggering Extinctions in Ecological Networks, BE.EP.PD   15/20407-3 - Investigating tipping points after-effects, BE.EP.PD

Abstract

Nonlinear dynamical systems might exhibit sensitivity to small perturbations in their control parameters, resulting in uncertainties on the predicability of tunning parameters that lead these systems to either a chaotic or a periodic behavior. Here we propose to analyze such uncertainties to obtain the boundary dimension between chaos and periodicity in the parameters space. We will verify if this boundary dimension is universal for different classes of dynamical systems. Additionally, we will investigate how the size of periodic structures varies in the parameters space.

News published in Agência FAPESP Newsletter about the scholarship:
Study investigates collapse of natural or social systems 
Study investigates collapse of natural or social systems 

Scientific publications (5)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
RAPHALDINI, BRENO; CIRO, DAVID; MEDEIROS, EVERTON S.; MASSAROPPE, LUCAS; TRINDADE, RICARDO I. F. Evidence for crisis-induced intermittency during geomagnetic superchron transitions. Physical Review E, v. 101, n. 2 FEB 12 2020. Web of Science Citations: 0.
MEDEIROS, EVERTON S.; MEDRANO-T, RENE O.; CALDAS, THERE L.; TEL, TAMAS; FEUDEL, ULRIKE. State-dependent vulnerability of synchronization. Physical Review E, v. 100, n. 5 NOV 4 2019. Web of Science Citations: 0.
MEDEIROS, EVERTON S.; MEDRANO-T, RENE O.; CALDAS, IBERE L.; FEUDEL, ULRIKE. Boundaries of synchronization in oscillator networks. Physical Review E, v. 98, n. 3 SEP 4 2018. Web of Science Citations: 2.
MEDEIROS, E. S.; CALDAS, I. L.; BAPTISTA, M. S. Sensitive dependence on parameters of continuous-time nonlinear dynamical systems. CHAOS SOLITONS & FRACTALS, v. 99, p. 16-19, JUN 2017. Web of Science Citations: 0.
MEDEIROS, EVERTON S.; CALDAS, IBERE L.; BAPTISTA, MURILO S.; FEUDEL, ULRIKE. Trapping Phenomenon Attenuates the Consequences of Tipping Points for Limit Cycles. SCIENTIFIC REPORTS, v. 7, FEB 9 2017. Web of Science Citations: 11.

Please report errors in scientific publications list by writing to: cdi@fapesp.br.