Carla Pinto, docente do Departamento de Matemática (DMA) e investigadora no Laboratório de Engenharia Matemática (LEMA), apresenta a comunicação “Exotic Behavior in Coupled Rings of Cells”, na 4th Chaotic Modeling and Simulation International Conference (CHAOS2011). Este evento decorre entre 31 de Maio a 3 de Junho de 2011, na ilha grega de Creta.
CHAOS 2011 The study of nonlinear systems and dynamics has emerged as a major area of interdisciplinary research and found very interesting applications. This conference is intended to provide a widely selected forum among Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications in General Science and in Engineering Sciences.
“EXOTIC BEHAVIOR IN COUPLED RINGS OF CELLS” We study the bifurcation scenario appearing in systems of two coupled rings of cells with Z3 x Z5 exact symmetry, and Z3 interior symmetry. This study was motivated by previous work by Antoneli, Dias and Pinto, on two rings of cells coupled through a ‘buffer’ cell, with Z3 x Z5 and D3 x D5 exact and interior symmetry groups. There, quasi-periodic behavior was found through a sequence of Hopf bifurcations. We questioned if an analogous mechanism could explain the appearance of quasi-periodic motion in the examples considered here. Surprisingly, we observe periodic and quasi-periodic states appearing also through Hopf bifurcations. We compute the relevant states numerically.
Instituto Superior de Engenharia do Porto