Publications

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

 

j15 A. Goriely and M. Tabor. The mechanics and dynamics of tendril perversion in climbing plants. Physics Letters A. 1998. 250.

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

j13 A. Goriely and M. Tabor. Spontaneous helix-hand reversal and tendril perversion in climbing plants. Physical Review Letters. 1998. 80.

DOI: 10.1103/PhysRevE.61.4508

j12 A. Goriely and M. Tabor. Nonlinear Dynamics of Filaments IV: The spontaneous looping of twisted elastic rods. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2008. 455. 1998.

DOI: 10.1098/rspa.1998.0297

1997

j11 A. Goriely and M. Tabor. Nonlinear Dynamics of Filaments III: Instabilities of Helical Rods. Royal Society A: Mathematical, Physical and Engineering Sciences. 1997. 453, 1967.

DOI: 10.1098/rspa.1997.0138

j10 A. Goriely and M. Tabor. Nonlinear Dynamics of Filaments II: Nonlinear analysis. Physica D: Nonlinear Phenomena. 1997. 105, 1-3.

DOI: 10.1016/S0167-2789(97)83389-1

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

j8 A. Goriely and M. Tabor. New amplitude equations for thin elastic rods. Physical Review Letters. 1996. 77. 17.

DOI: 10.1103/PhysRevLett.77.3537

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

1991

c4 L. Brenig and A. Goriely. Quasi-Monomial Transformations and Decoupling of Systems of ODE’s. IN I. Antoniou and F.J. Lambert (Eds.) Solitons and Chaos. Research Reports in Physics. Springer Verlag. 1991.

DOI: 10.1007/978-3-642-84570-3_7

c3 A. Goriely. Acoustique, Atome, Energie, Ondes, Particules, Élémentaire, Radioactivitié. IN G. Pascal. Encyclopédie Bordas. Bordas. 1991.

c2 A. Goriely. An algorithmic Approach to Differential Equations. IN Equations Différentielles et Calcul Formel. proceedings (Strasbourg). 1991.