Papers
Michael E Henderson, Imran Nasim, "Point Cloud Continuation: Extracting Manifolds from Observations of a Dynamical Systems", 2024, submitted to SIAM Journal on Applied Dynamical Systems, in review.
Imran Nasim, Michael E Henderson, "Dynamically Meaningful Latent Representations of Dynamical Systems", Mathematics 2024, 12(3)
Harry Dankowicz, Yuqing Wang, Frank Schilder, and Michael E. Henderson, "Multidimensional Manifold Continuation for Adaptive Boundary-Value Problems". J. Comput. Nonlinear Dynam. May 2020, 15(5)
Oriol Bohigas, Michael E Henderson, Lluis Ros, Montserrat Manubens, Josep M Porta, "Planning Singularity-Free Paths on Closed-Chain Manipulators", IEEE Transactions on Robotics 29 (4), 888-898, 2013.
Michael E. Henderson, "Flow Box Tiling Methods for Compact Invariant Manifolds", SIAM Journal on Applied Dynamical Systems, 10(3), 2011.
Michael E. Henderson, "Computing Invariant Manifolds by Integrating Fat Trajectories", SIAM J. Appl. Dyn. Sys., 4(4), pp. 832-882, 2005.
B. Krauskopf, H. Osinga, E. J. Doedel, Michael E. Henderson, J. M. Guckenheimer, A. Vladimirsky, M. Dellnitz, and O. Junge, "A survey of methods for computing (un)stable manifolds of vector fields", Int. J. Bifurcation and Chaos, 15 (2005), pp. 763-791.
Michael E. Henderson, "Multiparameter parallel search branch switching", Int. J. Bifurcation and Chaos, 15 (2005), pp. 967-974. Also appears in "Modeling and Computations in Dynamical Systems", World Scientific Series on Nonlinear Science, Series B - Vol. 13, edited by Eusebius J Doedel, Gabor Domokos, and Ioannis G Kevrekidis.
Michael E. Henderson and S. Neukirch, "Classification of the spatial equilibria of the clamped elastica: Numerical continuation of the solution set", Int. J. Bifurcation and Chaos, 14, pp. 1223-1239, 2004.
Michael E. Henderson, "Multiple parameter continuation: Computing implicitly defined surfaces", Int. J. Bifurcation and Chaos, 12, pp. 451-476, 2002.
S. Neukirch and Michael E. Henderson, "Classification of the spatial equilibria of the clamped elastica: Symmetries and zoology of solutions">"Classification of the spatial equilibria of the clamped elastica: Symmetries and zoology of solutions", Journal of Elasticity, 68, pp. 95-121. 2002.
U. T. Mello and Michael E. Henderson, "Techniques for including large deformations associated with salt and fault motion in basin modeling", Marine and Petroleum Geology, 14(5), pp. 551-564, 1997.
Michael E. Henderson, M. Levi, and F. Odeh, "The geometry and computation of the dynamics of coupled pendula", Int. J. Bifurcation and Chaos, 1, pp. 27-50, 1991.
Michael E. Henderson and H. B. Keller, "Complex bifurcation from real paths", SIAM Journal of Applied Mathematics, 50, pp. 460-482, 1990.
Michael E. Henderson and W. L. Miranker, "Synergy in parallel algorithms", Parallel Computing, 11 (1989), pp. 17-35.
C. C. Douglas, Michael E. Henderson, S. Horiguchi, W. L. Miranker, B. F. Smith, and A. Winkler, "The interaction of numerics and machines", Informationstechnik, 2, pp. 83-98, 1988.
Michael E. Henderson, C. R. Anderson, and S. L. Lyons, eds., "Object Oriented Methods for Interoperable Scientific and Engineering Computing", SIAM Proceedings in Applied Mathematics, 1999.
Michael E. Henderson, "Higher Dimensional Continuation", in "Numerical Continuation Methods for Dynamical Systems: Path Following and Boundary Value Problems", B. Krauskopf, H. M. Osinga, J. Galan-Vioque eds., Springer series on Understanding Complex Systems", 2007.
O. Bohigas, Michael .E Henderson, L. Ros, J. M. Porta "A singularity-free path planner for closed-chain manipulators", 2012 IEEE International Conference on Robotics and Automation (ICRA), 2128-2134
Ulisses T. Mello, Vanessa Lopez, Andrew Conn, Katya Scheinberg, Hongchao Zhang, Michael E. Henderson, Liqing Xu, Stewart A Levin, "Assisted seismic matching: Joint inversion of seismic, rock physics and basin modeling", 2007 SEG Annual Meeting
Michael E. Henderson, "Covering an Invariant Manifold with Fat Trajectories", in “Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena", edited by Gorban, Kevrekidis, Ottinger, Kazantzis, Theodoropoulos, Gorban. Springer, 2006.
Michael E. Henderson, "When the 'one size fits all' doesn't fit", in "Object Oriented Methods for Interoperable Scientific and Engineering Computing", SIAM Proceedings in Applied Mathematics, 1999.
D. V. Papavassiliou, S. L. Lyons, and Michael E. Henderson, "Simulation of multiphase non-darcy flow through porous media", in 2nd International Symposium on Computational Technologies for Fluid/Thermal/Chemical Systems with Industrial Applications, Boston, MA, August 1999.
Michael E. Henderson and S. L. Lyons, "Flow in porus media using NAO finite difference classes", in "Scientific Computing in Object-Oriented Parallel Environments", Ishikawa, Oldehoeft, Reynders, and Tholburn, eds., no. 1343 in Springer Lecture Notes in Computer Science, December 1997, pp. 225-232.
C. C. Douglas, D. A. George, and Michael E. Henderson, "Object classes for numerical analysis", in "Proceedings of the second annual object-oriented numerics conference", April 1994, pp. 32-49.
T. Brule and Michael E. Henderson, "Computation of singular solutions in the micromagnetics of thin films", in "Proceedings of the first world congress of nonlinear analysts", 1992, pp. 3823-3834.
Michael E. Henderson, "An application of complex bifurcation to a problem in computer graphics", in "Bifurcation: Analysis, Algorithms, Applications", Lecture notes in Mathematics, Birkhauser, 1987, pp. 114-121.
Michael E. Henderson and W. L. Miranker, "Synergy in parallel algorithms", in "Proceedings of the 26th conference on decision and control", Plenum Publishing, 1987, pp. 1482-1486.
C. Anderson, C. Greengard, and Michael E. Henderson, "Instability, vortex shedding, and numerical convergence", in "Vortex Methods Proceedings", Los Angeles 1987, C. Anderson and C. Greengard, eds., vol. 1360 of Lecture
notes in mathematics, 1987, pp. 42-55.Michael E. Henderson, "An expression compiler", Tech. Rep. RC19570, IBM Research, May 1994.
Michael E. Henderson, "Computing implicitly defined surfaces: Two parameter continuation", Tech. Rep. RC18777, IBM Research, March 1993.
Michael E. Henderson, "Computing periodic solutions and their parameter dependance", Tech. Rep. RC17350, IBM Research, Oct 1991.
Michael E. Henderson, "Branch switching in homotopy methods for finding all roots of a system of polynomials", Tech. Rep. RC13287, IBM Research, Nov 1987.
Michael E. Henderson michael.e.henderson.10590 at gmail.com