Selective monostability in multi-stable systems

Sevilla Escoboza, Ricardo and Pisarchik, Alexander N. and Jaimes-Reátegui, Rider and Huerta Cuellar, Guillermo (2015). Selective monostability in multi-stable systems. "Proceedings of the Royal Society a-Mathematical Physical And Engineering Sciences", v. 471 (n. 2180); pp. 1-8. ISSN 1364-5021. https://doi.org/10.1098/rspa.2015.0005.

Description

Title: Selective monostability in multi-stable systems
Author/s:
  • Sevilla Escoboza, Ricardo
  • Pisarchik, Alexander N.
  • Jaimes-Reátegui, Rider
  • Huerta Cuellar, Guillermo
Item Type: Article
Título de Revista/Publicación: Proceedings of the Royal Society a-Mathematical Physical And Engineering Sciences
Date: 8 August 2015
Volume: 471
Subjects:
Faculty: Centro de Tecnología Biomédica (CTB) (UPM)
Department: Otro
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

We propose a robust method that allows a periodic or a chaotic multi-stable system to be transformed to a monostable system at an orbit with dominant frequency of any of the coexisting attractors. Our approach implies the selection of a particular attractor by periodic external modulation with frequency close to the dominant frequency in the power spectrum of a desired orbit and simultaneous annihilation of all other coexisting states by positive feedback, both applied to one of the system parameters. The method does not require any preliminary knowledge of the system dynamics and the phase space structure. The efficiency of the method is demonstrated in both a non-autonomous multi-stable laser with coexisting periodic orbits and an autonomous Rössler-like oscillator with coexisting chaotic attractors. The experiments with an erbium-doped fibre laser provide evidence for the robustness of the proposed method in making the system monostable at an orbit with dominant frequency of any preselected attractor.

More information

Item ID: 41095
DC Identifier: http://oa.upm.es/41095/
OAI Identifier: oai:oa.upm.es:41095
DOI: 10.1098/rspa.2015.0005
Official URL: http://rspa.royalsocietypublishing.org/content/471/2180/20150005
Deposited by: Memoria Investigacion
Deposited on: 29 Apr 2017 11:08
Last Modified: 29 Apr 2017 11:08
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