Publications

Methods

2017

 

j176 L.A. Mihai & A. Goriely. How to characterise a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity. Proceedings of the Royal Society A. 2017. 473. 2207.

DOI: 10.1098/rspa.2017.0607

 

j168 L.A. Mihai, H. Wyatt, A. Goriely. Microstructure-based hyperelastic models for closed-cell solids. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2017. 473. 2200.

DOI: 10.1098/rspa.2017.0036

2014

 

j100 C. L. Hall, D. Vella and A. Goriely. The mechanics of a chain or ring of spherical magnets. SIAM Journal of Applied Mathematics. 2014. 73, 6.

DOI: 10.1137/120897973

2012

 

j84 C. Prior, A. Goriely. The Fourier transform of tubular densities. Journal of Physics A: Mathematical and Theoretical. 2012. 45, 22.

DOI: 10.1088/1751-8113/45/22/225208

 

j82 A. Goriely, S. Neukirch, and A. Hausrath. Helices through 3 or 4 points? Note di Matematica. 2012. 32, 1.

DOI: 10.1285/i15900932v32n1p87

2008

 

j58 B. Durickovic, A. Goriely, G. Saccomandi. Compact waves on planar elastic rods. International Journal of Non-Linear Mechanics. 2009. 44, 5.

DOI: 10.1016/j.ijnonlinmec.2008.10.007

2011

 

j70 M. Destrade, A. Goriely, G. Saccomandi. Scalar evolution equations for shear waves in incompressible solids: a simple derivation of the Z, ZK, KZK, and KP equations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2011. 467, 2131.

DOI: 10.1098/rspa.2010.0508

2009

 

j60 A. Hausrath and A. Goriely. The Fourier transforms of curves and filaments and their application to low resolution protein crystallography. Journal of Applied Crystallography. 2009. 42, 2.

DOI: 10.1107/S0021889809002544

 

j59 A. Goriely, S. Neukirch, and A. Hausrath. Polyhelices through n points. International Journal of Bioinformatics Research and Applications. 2009. 5, 2.

DOI: 10.1504/IJBRA.2009.024032

c16 A. Goriely, J. Rose. Linear and Nonlinear Front Selection for Reaction-Diffusion Equations. IN R.P. Mondaini & R. Dilao (Eds). BIOMAT 2008: International Symposium on Mathematical and Computational Biology. Campos do Jordão, Brazil. World-Scientific. 2009.

DOI: 10.1142/9789814271820_0002

2007

 

j46 R. Cangelosi and A. Goriely. Component retention in principal component analysis with application to cDNA microarray data. Biology Direct. 2007. 2, 2.

DOI: 10.1186/1745-6150-2-2

2006

 

j39 A. Hausrath and A. Goriely. Protein architectures predicted by a continuum representation of fold space. Protein Science. 2006. 15, 4.

DOI: 10.1110/ps.051971106

2005

 

c10 A. Goriely. Normal forms. IN A. Scott (Ed.) Encyclopedia of Nonlinear Science. 2005.

2004

 

j32 S. Lafortune and A. Goriely. Singularity confinement and algebraic integrability. Journal of Mathematical Physics. 2004. 45.

DOI: 10.1063/1.1640797

2001

 

j26 A. Goriely. Painlevé analysis and normal forms theory. Physica D: Nonlinear Phenomena. 2001. 152-153.

DOI: 10.1016/S0167-2789(01)00165-8

2000

j23 A. Goriely. A brief history of the Kovalevskaya exponents and modern developments. Regular and Chaotic Dynamics. 2000. 5, 1.

DOI: 10.1070/RD2000v005n01ABEH000120

 

j20 A. Goriely and C. Hyde. Necessary and Sufficient conditions for finite time singularities in ordinary differential equations. Journal of Differential Equations. 2000. 161, 2.

DOI: 10.1006/jdeq.1999.3688

1998

j16 A. Goriely and C. Hyde. Finite time blow-up in dynamical systems. Physics Letters A. 1998. 250.

DOI: 10.1016/S0375-9601(98)00822-6

j14 A. Goriely and M. Tabor. The role of complex-time singularities in chaotic dynamics. Regular and Chaotic Dynamics. 1998. 3, 3.

DOI: 10.1070/RD1998v003n03ABEH000078

1997

j9 A. Goriely and M. Tabor. Nonlinear Dynamics of Filaments I: Dynamical Instabilities. Physica D: Nonlinear Phenomena. 1997. 105, 1-3.

DOI: 10.1016/S0167-2789(96)00290-4

Page12

Books

Applied Mathematics: A Very Short Introduction, Oxford University Press (February 2018, 120 pages).
Find it on Amazon.
Read it together with the Youtube Playlist.
Enjoy!

A.Goriely. Morphoelasticity: The Mathematics and Mechanics of Biological Growth. Springer-Verlag Interdisciplinary and Applied Mathematics. 2017 (651 Pages). Find it on Amazon.

A. Goriely. Integrability and Nonintegrability of Dynamical Systems. World Scientific. 2001 (436 pages).
Out of print, but you can grab one on Amazon for £375 (a bargain).

M. Ben Amar, A. Goriely, M. Mueller (Eds.) New Trends in the Physics and Mechanics of Biological Systems: Lecture Notes of the Les Houches Summer School. Volume 92. Oxford University Press. 2011
Find it on Amazon.