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Study of phase synchronization in oscillators networks and applications to information retrieval

Grant number: 11/13871-4
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): January 01, 2012
Effective date (End): September 30, 2012
Field of knowledge:Engineering - Electrical Engineering
Principal Investigator:José Roberto Castilho Piqueira
Grantee:Rosângela Follmann Bageston
Home Institution: Escola Politécnica (EP). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

Systems with mutual dynamic behavior are found in abundance in nature and technologies that surround us. As an example we can mention the fireflies flashing in unison, a flock of birds, robots performing joint tasks and also in applications such as reliable communication systems. This emergent behavior cannot be explained in terms of the individual dynamics of the network element. These collective behaviors are modeled dynamically involving a large number of elements (oscillators) interconnected by coupling interactions. As a result of this interaction we have the emergence of synchronization. This phenomenon reveals itself in several ways. In particular, when the coupled systems are not completely identical and the coupling strength is not so intense, we have the so-called phase synchronization. In this kind of synchronization the phase difference between the systems remains limited, while their amplitudes remain uncorrelated. Recently it was discovered that the phenomenon of phase synchronization is ubiquitous in nature, manifesting itself even in chaotic systems, with phase-coherent or noncoherent dynamics. The characterization of this phenomenon in large sets of interacting systems is an emerging problem that is found in neuroscience during cognitive process and in certain neurological disorders as Parkinson's disease. In this way, understanding the evolution of synchronization through topological structures and infer methodologies to characterize the phase synchronization in networks are relevant issues nowadays. The main goals of this project are: (1) develop mechanisms to identify clusters of phase synchronization in sets of coupled complex systems and (2) characterize optimal synchronous clusters, exploring and assessing the capability of information processing in these synchronous states.

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)
FOLLMANN, ROSANGELA; MACAU, ELBERT E. N.; ROSA, JR., EPAMINONDAS; PIQUEIRA, JOSE R. C. Phase Oscillatory Network and Visual Pattern Recognition. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, v. 26, n. 7, p. 1539-1544, JUL 2015. Web of Science Citations: 10.
FOLLMANN, ROSANGELA; ROSA, JR., EPAMINONDAS; MACAU, ELBERT E. N.; CASTILHO PIQUEIRA, JOSE ROBERTO. IDENTIFYING PHASE SYNCHRONOUS REGIMES IN NON-COHERENT AND MULTIPLE SCROLL ATTRACTOR SYSTEMS. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 23, n. 11 NOV 2013. Web of Science Citations: 1.

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