Investigating tipping points after-effects

• Grant number: 15/20407-3
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: December 01, 2015
• End date: March 31, 2016
• Field of knowledge: Physical Sciences and Mathematics - Physics - Classical Areas of Phenomenology and Applications
• Principal Investigator: Iberê Luiz Caldas
• Grantee: Everton Santos Medeiros
• Supervisor: Ulrike Feudel
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: Carl von Ossietzky University, Germany
• Associated to the scholarship: 13/26598-0 - Fractal Boundaries between chaos and periodicity in the parameters space., BP.PD

Abstract

Complex dynamical systems may be exposed to critical thresholds, so called tipping points, at which small changes in their parameters can abruptly shift the system to a contrasting dynamical regime. During an academic visit to Prof. Dr. Ulrike Feudel, we propose to investigate the possible after-effects of tipping points, especially by analyzing transient properties of trajectories for parameters in their vicinity. In the case of tipping points associated to fold bifurcations of limit cycles, we are going to show that rotation properties of transient structures succeeding this bifurcation mimics a stable state, what inhibits the abrupt transitions associated to tipping points and provides useful information of the dynamics following them. (AU)

Scientific publications

(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)

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. (13/26598-0, 15/20407-3, 11/19296-1)