Information Processing Using Multiscroll Attractors: Theoretical and Practical Aspects

• Grant number: 12/09624-4
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: October 01, 2012
• End date: February 28, 2014
• Field of knowledge: Engineering - Electrical Engineering - Industrial Electronics, Electronic Systems and Controls
• Principal Investigator: Romis Ribeiro de Faissol Attux
• Grantee: Filipe Ieda Fazanaro
• Host Institution: Faculdade de Engenharia Elétrica e de Computação (FEEC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

This proposal deals essentially with theoretical and practical aspects of dynamical systems, specially of those that give rise to attractors with a multiscroll structure. In essence, the main goal of the project is to investigate concepts and tools belonging to the fields of topological analysis and information theory in order to characterize the phase space exploration and the vector field evolution associated with this class of attractors. This investigation will gravitate around computational aspects of the design of associative memories using low-order complex dynamical systems and around the study of the processing / storage capacity of these systems. This line of investigation is complemented by an analysis of the possibility that the existence of chaotic behavior be useful to the process of building associative memories - which will be duly characterized insofar as robustness to noise is concerned. It should be remarked that this kind of memory has been shown to be an effective environment perception tool, as attested in biological experiments. Hence comes a second pratical perspective: to use multiscroll attractors to improve the perception capabilities of robots that must autonomously carry out navigation tasks.

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)

FAZANARO, FILIPE I.; SORIANO, DIOGO C.; SUYAMA, RICARDO; MADRID, MARCONI K.; DE OLIVEIRA, JOSE RAIMUNDO; BRAVO MUNOZ, IGNACIO; ATTUX, ROMIS. Numerical characterization of nonlinear dynamical systems using parallel computing: The role of GPUs approach. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 37, p. 143-162, AUG 2016. (12/09624-4)

FAZANARO, FILIPE I.; SORIANO, DIOGO C.; SUYAMA, RICARDO; ATTUX, ROMIS; MADRID, MARCONI K.; DE OLIVEIRA, JOSE RAIMUNDO. Characterization of multiscroll attractors using Lyapunov exponents and Lagrangian coherent structures. Chaos, v. 23, n. 2, JUN 2013. (12/09624-4)

URIBE, LUISA F. S.; FAZANARO, FILIPE I.; CASTELLANO, GABRIELA; SUYAMA, RICARDO; ATTUX, ROMIS; CARDOZO, ELERI; SORIANO, DIOGO C.; MARWAN, N; RILEY, M; GIULIANI, A; et al. A Recurrence-Based Approach for Feature Extraction in Brain-Computer Interface Systems. TRANSLATIONAL RECURRENCES: FROM MATHEMATICAL THEORY TO REAL-WORLD APPLICATIONS, v. 103, p. 3-pg., 2014-01-01. (12/09624-4)