Publications

Preprints
1. J. Knobloch, DJB Lloyd, B. Sandstede and T. W. Isolas of 2-pulse solutions in homoclinic snaking scenarios, Journal of Dynamics and Differential Equations (at press). [Download pdf]

In Journals
1. K. Green and T.W. Spectra and pseudospectra of neutral delay differential equations with application to real-time substructuring, Meccanica 45(2), 249-263, 2010. [Journal Website]
2. M. Beck, J. Knobloch, DJB Lloyd, B. Sandstede, and T. W. Snakes, ladders, and isolas of localised patterns, SIAM Journal on Mathematical Analysis 41, 936-972, 2009. [Journal Website]
3. J. Knobloch and T. W. Snaking of multiple homoclinic orbits in reversible systems, SIAM J. Appl. Dyn. Syst 7(4), 1397-1420, 2008. [Journal Website]
4. P. Swinnerton-Dyer and T. W. Some third-order ordinary differential equations, Bulletin of the London Mathematical Society 40(5), 725-748, 2008. [Journal Website]
5. T. W., W. Michiels, and K. Green. Structured pseudospectra for nonlinear eigenvalue problems, Journal of Computational and Applied Mathematics, 212(2), 245-259,2008. [Journal Website]
6. T. W., K. Green, S. Adhikari, and W. Michiels. Structured Pseudospectra and Random Eigenvalues Problems in Vibrating Systems, AIAA Journal, 44(10), 2404-2414, 2006. [Journal Website]
7. W. Michiels, K. Green, T. W. and S.-I. Niculescu. Pseudospectra and stability radii for analytic matrix functions with application to time-delay systems, Linear Algebra and its Applications, 418(1), 315-335, 2006. [Journal Website]
8. K. Yagasaki, I. M. Merhasin, B. A. Malomed, T. W. and A. R. Champneys. Gap solitons in Bragg gratings with a harmonic superlattice, Europhysics Letters, 74(6), 1006-1012, 2006. [Journal Website]
9. K. Green and T. W. Pseudospectra and delay differential equations, Journal of Computational and Applied Mathematics, 196(2), 567-578, 2006. [Journal Website]
10. K. Yagasaki and T. W. Detection of symmetric homoclinic orbits to saddle-centres in reversible systems, Physica D, 214 (2), 169-181, 2006. [Journal Website]
11. B. Malomed, T. W., A. R. Champneys and M. J. Pearce. Accumulation of embedded solitons in systems with quadratic nonlinearity, Chaos, 15, 037116, 2005. [Journal Website]
12. T. W. and J. Agarwal. Structured pseudospectra in structural engineering, Int. Journal for Numerical Methods in Engineering, 64(13), 1735-1751, 2005. [Journal Website]
13. J. Knobloch and T.W. Homoclinic Snaking near a Heteroclinic Cycle in Reversible Systems, Physica D 206 (1-2), 82-93, 2005. [Journal Website]
14. T. W. Two-heteroclinic orbits emerging in the reversible homoclinic pitchfork bifurcation, Nonlinearity 18(2), 527-542, 2005. [Journal Website]
15. T. W. and A. R. Champneys. When gap solitons become embedded solitons: a generic unfolding, Physica D 177, 50-70, 2003. [Journal Website] [Slightly Different Preprint Version]
16. T. W. About a homoclinic pitchfork bifurcation in reversible systems with additional Z₂-symmetry, Nonlinearity 15(6), 2097-2120, 2002 . [Journal Website]
17. T. W. Bifurcation of a reversible Hamiltonian system from a fixed point with fourfold eigenvalue zero, Dynamical Systems 17(1), 29-45, 2002. [Journal Website]

In Proceedings
1. W.Michiels, T.W. and K. Green. Structured pseudospectra for matrix functions: theory and application, Proceedings of the 6th IFAC Workshop on Time-Delay Systems, 2006.
2. W. Michiels, K. Green, T. W. and S.-I. Niculescu. Pseudospectra of analytic matrix funtion and applications to time-delay systems, Proceedings of the joint IEEE Conference on Decision and Control / European Control Conference, 2005.
3. T. W. The reversible homoclinic pitchfork bifurcation revisited, Equadiff 2003: Proceedings of the International Conference on Differential Equations, 978-983, World Scientific, 2005.

Theses
1. Homoclinic Bifurcations in Reversible Systems, PhD Thesis, TU Ilmenau, 2003 [Abstract+Download]
2. An analytical study of a two degrees of freedom Hamiltonian system associated to the reversible hyperbolic umbilic, Diploma Thesis, TU Ilmenau, 1999.