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The use of normal forms for analysing nonlinear mechanical vibrations.
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.
The impacting cantilever: modal non-convergence and the importance of stiffness matching.
Melcher J, Champneys AR, Wagg DJ.
Melcher J, et al. Among authors: wagg dj.
Philos Trans A Math Phys Eng Sci. 2013 May 20;371(1993):20120434. doi: 10.1098/rsta.2012.0434. Print 2013 Jun 28.
Philos Trans A Math Phys Eng Sci. 2013.
PMID: 23690643
Free article.
Item in Clipboard
Out-of-unison resonance in weakly nonlinear coupled oscillators.
Hill TL, Cammarano A, Neild SA, Wagg DJ.
Hill TL, et al. Among authors: wagg dj.
Proc Math Phys Eng Sci. 2015 Jan 8;471(2173):20140659. doi: 10.1098/rspa.2014.0659.
Proc Math Phys Eng Sci. 2015.
PMID: 25568619
Free PMC article.
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Comparing the direct normal form and multiple scales methods through frequency detuning.
Elliott AJ, Cammarano A, Neild SA, Hill TL, Wagg DJ.
Elliott AJ, et al. Among authors: wagg dj.
Nonlinear Dyn. 2018;94(4):2919-2935. doi: 10.1007/s11071-018-4534-1. Epub 2018 Sep 14.
Nonlinear Dyn. 2018.
PMID: 30930539
Free PMC article.
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Simultaneous normal form transformation and model-order reduction for systems of coupled nonlinear oscillators.
Liu X, Wagg DJ.
Liu X, et al. Among authors: wagg dj.
Proc Math Phys Eng Sci. 2019 Aug;475(2228):20190042. doi: 10.1098/rspa.2019.0042. Epub 2019 Aug 7.
Proc Math Phys Eng Sci. 2019.
PMID: 31534419
Free PMC article.
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Experimental continuation of periodic orbits through a fold.
Sieber J, Gonzalez-Buelga A, Neild SA, Wagg DJ, Krauskopf B.
Sieber J, et al. Among authors: wagg dj.
Phys Rev Lett. 2008 Jun 20;100(24):244101. doi: 10.1103/PhysRevLett.100.244101. Epub 2008 Jun 19.
Phys Rev Lett. 2008.
PMID: 18643585
Free article.
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