Publications

Methods

2009

 

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

1996

j7 A. Goriely. Integrability, Partial Integrability and Nonintegrability for Systems of Ordinary Differential Equations. Journal of Mathematical Physics. 1996. 37.

DOI: 10.1063/1.531484

1995

j6 A. Goriely. A simple solution to the nonlinear front problem. Physical Review Letters. 1995. 75.

DOI: 10.1103/PhysRevLett.75.2047

 

j5 T. Bountis, A. Goriely and M. Kolman. Mel’nikov vector for N-dimensional mappings. Physics Letters A. 1995. 206.

j4 A. Goriely and M. Tabor. The Singularity Analysis for Nearly Integrable Systems: Homoclinic Intersections and Local Multivaluedness. Physica D: Nonlinear Phenomena. 1995. 85, 1-2.

DOI: 10.1016/0167-2789(94)00137-F

1994

c7 L. Brenig and A. Goriely. Painlevé analysis and normal forms theory. IN E.Tournier (Ed.) Computer Algebra and Differential Equations. Cambridge University Press. 1994.

c6 A. Goriely and M. Tabor. How to Compute the Melnikov vector? IN Proceedings of the International Symposium on Symbolic and Algebraic Computation ISSAC 1994. ACM Press.

1992

j3 A. Goriely. Investigation of Painlevé Property under Time Singularities Transformations. Journal of Mathematical Physics. 1992. 33.

DOI: 10.1063/1.529593

c5 A. Goriely. From weak to full Painlevé property via time singularities transformations. IN T. Bountis (Ed.) Chaotic Dynamics: Theory and Practice. Plenum Press. 1992.

DOI: 10.1007/978-1-4615-3464-8_10


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!</p>

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

Goriely, P. Hosoi, H. Dankowicz. Non-linear mechanics of biological structures. Special Issue of the International Journal of Nonlinear Mechanics. 2011. 46, 4.

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.

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).