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Study of collective phenomena in physical and biological systems

Grant number: 13/18942-2
Support type:Regular Research Grants
Duration: December 01, 2013 - October 31, 2016
Field of knowledge:Physical Sciences and Mathematics - Physics - General Physics
Principal Investigator:Fernando Fagundes Ferreira
Grantee:Fernando Fagundes Ferreira
Home Institution: Escola de Artes, Ciências e Humanidades (EACH). Universidade de São Paulo (USP). São Paulo , SP, Brazil


This proposal deals with the study of two models aimed at understanding the collective behavior of complex systems . The physical system to be addressed is called the Kuramoto model. It describes how the phase of coupled oscillators depends upon the coupling constant as well as the natural frequency. It is important because of its ability to capture the essence of the phenomenon of synchronization . In this proposal we will focus on two points . The first is to study the change in stability of the solution when the system is synchronized in phase depending on the topology of the network connecting the oscillators . The second is determine the emergence of states chimera. These states are characterized by the coexistence of synchronized and unsynchronized oscilators with the same set of parameters.The biological system is approached by a model with evolutionary group selection , where individuals of a species compete with each other by means of two different strategies: cooperative or selfish. These strategies are defined by an array of reward according to a model in game theory , including the Prisoner's Dilemma . The payoff matrix depends on the availability of environmental resources . Therefore, the change in the level of resource modulates the collective behavior of individuals within the population . Moreover , this population is structured and there are two dynamics operating on the system. The first on acts on the individual level , favoring the selfish strategy and the second one acts on the group favoring the altruistic strategy ( multi selection ) . We want to establish the conditions for the coexistence of species after transient throughout evolution , as well as understanding the role of interaction for the emergence of macroscopic structures organized .The interest in the study of these models is due to the fact that they capture key aspects to understand the emergence of synchronization and cooperation that are important for many applications in physical and biological systems . (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)
FERREIRA, FERNANDO F.; SILVA, A. CHRISTIAN; YEN, JU-YI. Detailed study of a moving average trading rule. QUANTITATIVE FINANCE, v. 18, n. 9, SI, p. 1599-1617, 2018. Web of Science Citations: 0.
HUANG, WEINI; DE ARAUJO CAMPOS, PAULO ROBERTO; DE OLIVEIRA, VIVIANE MORAES; FERRREIRA, FERNANDO FAGUNDES. A resource-based game theoretical approach for the paradox of the plankton. PeerJ, v. 4, AUG 18 2016. Web of Science Citations: 1.
AMADO, ANDRE; HUANG, WEINI; CAMPOS, PAULO R. A.; FERREIRA, FERNANDO FAGUNDES. Learning process in public goods games. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 430, p. 21-31, JUL 15 2015. Web of Science Citations: 3.

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