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Stability mosaics in a forced Brusselator Auto-organization of oscillations in control parameter space

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Gallas,  Jason A. C.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Freire, J. G., Gallas, M. R., & Gallas, J. A. C. (2017). Stability mosaics in a forced Brusselator Auto-organization of oscillations in control parameter space. European Physical Journal - Special Topics, 226(9), 1987-1995. doi:10.1140/epjst/e2017-70020-x.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002D-C9D0-D
Abstract
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.