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citation_title: Revisiting linear augmentation for stabilizing stationary solutions: potential pitfalls and their application
twitter:title: Revisiting linear augmentation for stabilizing stationary...
og:site_name: arXiv.org
og:title: Revisiting linear augmentation for stabilizing stationary solutions: potential pitfalls and their application
citation_author: Karnatak, Rajat
citation_date: 2015/02/15
title: [1502.04352] Revisiting linear augmentation for stabilizing stationary solutions: potential pitfalls and their application
og:description: Linear augmentation has recently been shown to be effective in targeting desired stationary solutions, suppressing bistablity, in regulating the dynamics of drive response systems and in controlling the dynamics of hidden attractors. The simplicity of the procedure is the highlight of this scheme but at the same time questions related to its general applicability still need to be addressed. Focusing on the issue of targeting stationary solutions, this work demonstrates instances where the scheme fails to stabilize the required solutions and leads to other complicated dynamical scenarios. Appropriate examples from conservative as well as dissipative systems are presented in this regard and potential applications for relevant observations in dissipative predator--prey systems are also discussed.
citation_arxiv_id: 1502.04352
citation_online_date: 2015/07/17
twitter:site: @arxiv
dc:title: [1502.04352] Revisiting linear augmentation for stabilizing stationary solutions: potential pitfalls and their application
citation_doi: 10.1371/journal.pone.0142238
twitter:description: Linear augmentation has recently been shown to be effective in targeting desired stationary solutions, suppressing bistablity, in regulating the dynamics of drive response systems and in...
Content-Encoding: ISO-8859-1
citation_pdf_url: https://arxiv.org/pdf/1502.04352
og:url: https://arxiv.org/abs/1502.04352v2
Content-Language: en
Content-Type: application/xhtml+xml; charset=ISO-8859-1