mhender@watson.ibm.com

IBM Watson Research Center

P.O. Box 218

33-215

Yorktown Heights, NY 10598

(914)945-1856 (office)

(914)945-3434 (FAX)

Michael E. Henderson

New: My continuation code "Multifario" is now available under an Open Source license from SourceForge

My current projects are

• Continuation methods for computing solution manifolds in dynamical systems
• A presentation I gave on this topic at the Fields Institute in Toronto
• Multiple Parameter Continuation: Computing Implicitly Defined k-manifolds, IJBC v12(3), pages 451-76
• Classification of the spatial equilibria of the clamped elastica, IJBC v14(4), pages 223-1239. with Sebastien Neukirch
• Examples of the algorithm for computing implicitly defined manifolds.
• Integration of the algorithm with LOCA (with Andy Salinger, Sandia) and AUTO (with Randy Paffenroth, Caltech)
• Computing Implicitly Defined Surfaces: Two Parameter Continuation An older version, using ellipses
• Dynamics of a pair of Coupled Pendula

 
• Computing invariant manifolds in flows
• Computing Invariant Manifolds by Integrating Fat Trajectories, SIADS, v4(4), pages 832--882.
  
• A Survey of Methods for Computing (Un)Stable Manifolds of Vector Fields
  Bernd Krauskopf, H.M. Osinga, Eusebius J. Doedel, Michael E. Henderson, John M. Guckenheimer, Alexander Vladimirsky, Michael Dellnitz & Oliver Junge, Int. J. Bifurcation & Chaos 15(3), 2005.
  
  
• Trust region methods for nonlinear optimization, with Andy Conn
• NAO - data abstractions for the types of data that arise in numerical analysis.