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Indirect reduced-order modelling: using nonlinear manifolds to conserve kinetic energy.
Proc Math Phys Eng Sci. 2020 Nov;476(2243):20200589. doi: 10.1098/rspa.2020.0589. Epub 2020 Nov 18.
Proc Math Phys Eng Sci. 2020.
PMID: 33362422
Free PMC article.
The use of normal forms for analysing nonlinear mechanical vibrations.
Neild SA, Champneys AR, Wagg DJ, Hill TL, Cammarano A.
Neild SA, et al. Among authors: hill tl.
Philos Trans A Math Phys Eng Sci. 2015 Sep 28;373(2051):20140404. doi: 10.1098/rsta.2014.0404.
Philos Trans A Math Phys Eng Sci. 2015.
PMID: 26303917
Free PMC article.
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Identifying phase-varying periodic behaviour in conservative nonlinear systems.
Hong D, Nicolaidou E, Hill TL, Neild SA.
Hong D, et al. Among authors: hill tl.
Proc Math Phys Eng Sci. 2020 May;476(2237):20200028. doi: 10.1098/rspa.2020.0028. Epub 2020 May 13.
Proc Math Phys Eng Sci. 2020.
PMID: 32523416
Free PMC article.
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Conditions for the existence of isolated backbone curves.
Hong D, Hill TL, Neild SA.
Hong D, et al. Among authors: hill tl.
Proc Math Phys Eng Sci. 2019 Dec;475(2232):20190374. doi: 10.1098/rspa.2019.0374. Epub 2019 Dec 4.
Proc Math Phys Eng Sci. 2019.
PMID: 31892833
Free PMC article.
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