Maciej (Martin) Krupa

New Mexico State University
Phone: (505) 646-2316
Department of Mathematical Sciences, MSC 3MB
Fax: (505) 646-1064
PO Box 30001, Las Cruces, NM 88003
mkrupa@nmsu.edu

Professional Experience Publications Education Teaching

PROFESSIONAL EXPERIENCE

2007-present, Visiting Professor, Faculty of Electrical Engineering, Mathematics and Computer Science, University of Twente, Enschede, The Netherlands
2002-present Associate Professor, Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM
1999-2002 Assistant Professor, Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM
1994-1999 Research Fellow, Institut fuer Angewandte und Numerische Mathematik, Technical University Vienna, Vienna, Austria
1991-1994 Assistant Professor (tenured position), Department of Mathematics, University of Groningen, Holland
Sept. 1990-Dec. 1990 Postdoctoral Fellow, Department of Mathematics, University of Warwick, U.K.
1989-1990 Postdoctoral Visiting Member, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis
1988-1989 Visiting Professor, School of Mathematics, University of Minnesota, Minneapolis

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PUBLICATIONS

  1. M. Krupa, N. Popovic and N. Kopell. Mixed-mode oscillations in three timescale systems--a prototypical example. In preparation.
  2. M. Krupa, N. Popovic, N. Kopell and H. G. Rotstein. Mixed-mode oscillations in a three timescale model of a dopaminergic neuron. Chaos submitted pdf
  3. J. Jalics, M. Krupa, H. G. Rotstein and N. Kopell. A novel canard-based mechanism for mixed-mode oscillations in a neuronal model. Chaos submitted pdf
  4. M. Golubitsky and M. Krupa. Stability Computations for Nilpotent Hopf Bifurcations in Coupled Cell Systems. International Journal of Bifurcation and Chaos to appear (2006)
  5. M. Brons, M. Krupa and M. Wechselberger. Mixed mode oscillations due to the generalized canard phenomenon. Fields Inst. Comm. 49, 39-63 (2006)
  6. M.Krupa, W. Poth, M. Schagerl, A. Steindl, W. Steiner, H. Troger, G. Wiedermann. Modelling, dynamics and control of tethered satellite systems. Nonlinear Dynam. 43 73-96 (2006)
  7. E. Barany and M. Krupa, Stability of multiple access network control schemes with carrier sensing and exponential backoff, Physica A 363 573-590 (2006)
  8. S.A. van Gils, M. Krupa and P. Szmolyan. Asymptotic expansions using blow-up. ZAMP 56, 369-397 (2005)
  9. M. Krupa, I. S. Melbourne. Asymptotic stability of heteroclinic cycles in systems with symmetry, II. Proc. Roy. Soc. Edinburgh A 134A, 1177-1197 (2004)
  10. E. Barany and M. Krupa, Emergence of critical rates in multiple access network control schemes, Proceedings of the 42nd IEEE Conference on Decision and Control, 1592-1597, Maui, HI, December (2003)
  11. M. Krupa and P. Szmolyan. Transcritical and pitchfork singularities of critical manifolds. Nonlinearity 14, 1473--1491. (2001)
  12. M. Krupa, M. Schagerl, A. Steindl, P. Szmolyan and H. Troger. Relative equilibria of tethered satellite systems and their stability for very stiff tethers. Dyn. Syst. 16, 253--278 (2001).
  13. M. Krupa, A. Steindl, and H. Troger. Stability of Relative Equilibria. Part II: Dumbell Satellites. Meccanica 35, 353-371, (2001)
  14. M. Krupa, M. Schagerl, A. Steindl, and H. Troger. Stability of Relative Equilibria. Part I: Comparison of four methods (expository article). Meccanica 35}, 325-351, (2001)
  15. M. Krupa and P. Szmolyan. Relaxation oscillations and canard explosion. JDE 174, 312-368 (2001)
  16. M. Krupa and P. Szmolyan. Extending geometric singular perturbation theory to non-hyperbolic points -- fold and canard points in two dimensions. SIAM. J. of Math. Anal. 33, 286-314 (2001)
  17. M. Krupa and P. Szmolyan. Geometric analysis of the singularly perturbed planar fold. in Multiple-Time-Scale Dynamical Systems, IMA Volume 122 Editors: Christopher K.R.T. Jones and Alexander Khibnik, 89-116 Springer, New York. (2001)
  18. S. A. van Gils, M. Krupa and V. Tchistiakov. Homoclinic twist bifurcation in a system of two coupled oscillators. JDDE 12 (2000)
  19. B. Katzengruber, M. Krupa, P. Szmolyan. Bifurcation of travelling waves in extrinsic semiconductors. Physica D 144, 1-19 (2000)
  20. P. Chossat, M. Krupa, I. Melbourne and A. Scheel. Magnetic dynamos in rotating convection - a dynamical systems approach. Dyn. Cont. Discr. Impulsive Syst. 5, 327-340 (1999)
  21. M. Krupa. Robust heteroclinic cycles (review article). J. of Nonl. Sci. 7, 129-176 (1997)
  22. M. Krupa, B. Sandstede and P. Szmolyan. Fast and slow waves in the Fitzhugh-Nagumo equation. JDE 133, 49-97 (1997)
  23. P. Chossat, M. Krupa, I. Melbourne and A. Scheel. Transverse bifurcations of homoclinic cycles. Physica D 100, 85-100 (1997)
  24. M. Krupa, M. Schagerl, A. Steindl and H. Troger. Relative equilibria of tethered satellite systems and their stability. Proceedings ICIAM 95, ZAMM    Special Issue 4, 312-316 (1996)
  25. D.G. Aronson, M. Krupa and P.B. Ashwin. Semirotors in Josephson junctions equations. J. Nonl. Sci. 6, 85-103 (1995)
  26. M. Krupa and I. Melbourne. Nonasymptotically stable attractors in O(2) mode interactions. Fields Institute Communications 4, 219-233 (1995)
  27. M. Krupa and I. Melbourne. Asymptotic stability of heteroclinic cycles in systems with symmetry. Ergodic Theory Dyn. Syst., 15, 121-148 (1995)
  28. A. Homburg, H. Kokubu and M. Krupa. The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbit. Ergodic Theory and Dynamical Systems 14, 667-693, (1994)
  29. D.G. Aronson, S.A. van Gils and M. Krupa. Homoclinic twist bifurcations with Z2 symmetry. Journal of Nonlinear Science 4, 195-219 (1994)
  30. M. Krupa and M. Roberts. Symmetry breaking and symmetry locking in equivariant circle maps. Physica D 57, 417-435 (1992)
  31. D.G. Aronson, S.A. van Gils and M. Krupa. Homoclinic twist and bifurcation. In: Bifurcation and Symmetry, edited by E. Allgower, K. Böhmer and M. Golubitsky, International Series of Numerical Mathematics, Birkhäuser, Basel (1992)
  32. D.G. Aronson, M. Golubitsky and M. Krupa. Coupled arrays of Josephson junctions and bifurcations of maps with SN symmetry. Nonlinearity 4, 861-902 (1991)
  33. M. Golubitsky, M. Krupa and C. Lim. Time-reversibility and particle sedimentation. SIAM J. Appl. Math. 51, 49-72 (1991).
  34. S.A. van Gils, M. Krupa and W.F. Langford. Hopf bifurcation with nonsemisimple 1:1 resonance. Nonlinearity 3, 825-850 (1990).
  35. M. Krupa. Bifurcations of relative equilibria. SIAM J. Math. Anal. 21, 1453-1486 (1990).
  36. A. Vanderbauwhede, M. Krupa and M. Golubitsky. Secondary bifurcations in symmetric systems. Proc. Equadiff Conference 1987, Lecture Notes in Pure and Applied Mathematics, 118, Marcel Dekker, New York, Basel (1987)

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EDUCATION

1988 Ph.D., University of Houston

1986 Masters in Mathematics, University of Waterloo, Canada

1985 B.A., University of Guelph, Canada

1978- 82 Undergraduate student in Mathematics, University of Warsaw, Poland

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TEACHING

Currently on leave

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math@nmsu.edu
Tuesday, November 14, 2000