Kalies, William
http://www.math.fau.edu/Kalies/
wkalies@fau.edu
- On the detection of simple points in higher dimensions using cubical homology (PDF only, 252K)
Submitted for publication 2005.
With M. Niethammer, K. Mischaikow, and A. Tannenbaum.
- Polygonal approximation of flows (PDF only, 5.2M)
Submitted for publication 2004.
With Erik Boczko and K. Mischaikow .
- An algorithmic approach to chain recurrence (PDF only, 254K)
Submitted for publication 2004.
With R.C.A.M. van der Vorst and K. Mischaikow .
- Topological characterization of spatial-temporal chaos (PDF only, 400K)
Physical Review E 70, Article 035203 (Rapid communication), 2004.
With Marcio Gameiro and K. Mischaikow .
- Closed characteristics of second-order Lagrangians (242K), PDF (184K) Proceedings of the Royal Society of Edinburgh A 134, pp. 143-158, 2004.
With R.C.A.M. van der Vorst .
- Analysis of blood vessel topology by cubical homology (692K), PDF (113K)
Proceedings of International Conference on Imagine Processing 2002, vol 2, pp. 969-972, 2002.
With M. Niethammer, A.N. Stein, K. Mischaikow, P. Pilarczyk, and A. Tannenbaum.
- Slow motion in higher-order systems and gamma-convergence in one space dimension (417K) , PDF (240K) Nonlinear Analysis: Theory, Methods, and Applications 44, pp. 33-57, 2001.
With R.C.A.M. van der Vorst and T. Wanner.
- Homotopy classes for stable periodic and chaotic patterns in fourth-order Hamiltonian systems (318K) , PDF (238K) Communications in Mathematical Physics 214, pp. 573-592, 2000.
With J. Kwapisz, J.B. VandenBerg, and R.C.A.M. van der Vorst.
- Cubical approximation and computation of homology, (616K) , PDF (252K) Banach Center Publications 47, pp. 115-131, 1999.
With K. Mischaikow and G. Watson.
- Homotopy classes for stable connections between Hamiltonian saddle-focus equilibria, (1,005K) , PDF (549K) Communications in Mathematical Physics 193, pp. 337-371, 1998.
With J. Kwapisz, and R.C.A.M. van der Vorst.
- On the asymptotic behavior of a phase-field model for elastic phase transitions, (315K) , PDF (256K) Journal of Dynamics and Differential Equations 9, pp. 289-306, 1997.
- Multitransition homoclinic and heteroclinic solutions of the extended Fisher-Kolmogorov equation, (253K) , PDF (232K) Journal of Differential Equations 131, pp. 209-228, 1996.
With R.C.A.M. van der Vorst.
- On a dynamical model for phase transformation in nonlinear elasticity, (298K) , PDF (268K) Fields Institute Communications 5, pp. 255-269, 1996.
With P.J. Holmes.
