Volume 118, Number 3, May 2017
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||07 July 2017|
1 Complexity Sciences Center - 9225 Collins Avenue #1208, Surfside, FL 33154, USA
2 Departamento de Física, Universidade Federal da Paraíba - 58051-970 João Pessoa, Brazil
3 Max-Planck-Institut für Physik komplexer Systeme - Nöthnitzer Str. 38, D-01187 Dresden, Germany
Received: 12 May 2017
Accepted: 14 June 2017
Oscillators have widespread applications in micro- and nanomechanical devices, in lasers of various types, in chemical and biochemical models, among others. However, applications are normally marred by the presence of chaos, requiring expensive control techniques to bypass it. Here, we show that the low-frequency limit of driven systems, a poorly explored region, is a wide chaos-free zone. Specifically, for a popular model of micro- and nanomechanical devices and for the Brusselator, we report the discovery of an unexpectedly wide mosaic of phases resulting from stable periodic oscillations of increasing complexity but totally free from chaos.
PACS: 82.40.Bj – Oscillations, chaos, and bifurcations / 89.75.Fb – Structures and organization in complex systems / 05.45.Pq – Numerical simulations of chaotic systems
© EPLA, 2017
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