Impulse-induced optimum control of chaos in dissipative driven systems Article Swipe
Pedro J. Martínez
,
Stefano Euzzor
,
Jason A. C. Gallas
,
R. Meucci
,
Ricardo Chacón
·
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1707.06947
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1707.06947
Taming chaos arising from dissipative non-autonomous nonlinear systems by applying additional harmonic excitations is a reliable and widely used procedure nowadays. But the suppressory effectiveness of generic non-harmonic periodic excitations continues to be a significant challenge both to our theoretical understanding and in practical applications. Here we show how the effectiveness of generic suppressory excitations is optimally enhanced when the impulse transmitted by them (time integral over two consecutive zeros) is judiciously controlled in a not obvious way. This is demonstrated experimentally by means of an analog version of a universal model, and confirmed numerically by simulations of such a damped driven system including the presence of noise. Our theoretical analysis shows that the controlling effect of varying the impulse is due to a correlative variation of the energy transmitted by the suppressory excitation.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/1707.06947
- https://arxiv.org/pdf/1707.06947
- OA Status
- green
- Cited By
- 1
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2736933772
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W2736933772Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.1707.06947Digital Object Identifier
- Title
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Impulse-induced optimum control of chaos in dissipative driven systemsWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2017Year of publication
- Publication date
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2017-07-21Full publication date if available
- Authors
-
Pedro J. Martínez, Stefano Euzzor, Jason A. C. Gallas, R. Meucci, Ricardo ChacónList of authors in order
- Landing page
-
https://arxiv.org/abs/1707.06947Publisher landing page
- PDF URL
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https://arxiv.org/pdf/1707.06947Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/1707.06947Direct OA link when available
- Concepts
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Dissipative system, Impulse (physics), Nonlinear system, Control theory (sociology), Physics, Statistical physics, Excitation, Computer science, Mathematics, Control (management), Classical mechanics, Quantum mechanics, Artificial intelligenceTop concepts (fields/topics) attached by OpenAlex
- Cited by
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1Total citation count in OpenAlex
- Citations by year (recent)
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2018: 1Per-year citation counts (last 5 years)
- Related works (count)
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10Other works algorithmically related by OpenAlex
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