Stability mosaics in a forced Brusselator
Auto-organization of oscillations in control parameter space
1 Instituto de Altos Estudos da Paraíba, Rua Silvino Lopes 419-2502, 58039-190 João Pessoa, Brazil
2 Departamento de Física, Universidade Federal da Paraíba, 58051-970 João Pessoa, Brazil
3 Complexity Sciences Center, 9225 Collins Avenue, Suite 1208, Surfside, FL 33154-3046, USA
4 Institute for Multiscale Simulations, Friedrich-Alexander-Universität Erlangen-Nürnberg, 91052 Erlangen, Germany
5 Max-Planck-Institut für Physik komplexer Systeme, 01187 Dresden, Germany
a Present address: Instituto Dom Luiz, Faculdade de Ciências, Universidade de Lisboa, 1749-016 Lisbon, Portugal
b e-mail: email@example.com
Received: 25 January 2017
Revised: 6 March 2017
Published online: 21 June 2017
We report a startling mosaic-like organization of stability phases found in the low-frequency limit of a driven Brusselator. Such phases correspond to periodic oscillations having a constant number of spikes per period. The mosaic is free from chaotic oscillations and is formed by an apparently infinite cascade of oscillations whose number of spikes grow without bound. Wide windows free from chaos but supporting unbounded quantities of complex oscillations are potentially of interest to operate driven oscillators such as lasers, electronic circuits, and biochemical pacemakers.
© The Author(s) 2017
Open Access This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.