Publications:
Articles in Refereed Journals:
K. Hoffman and T. Seidman, A Variational Characterization of
a Hyperelastic Rod with Hard Self-contact, Nonlinear Analysis A:
Theory, Methods and Applications, vol. 74, no. 16, p. 5388-5401,
DOI:10.1016/j.na.2011.05.022, November 2011 [ abstract]
G. Clapp and K.A Hoffman, Entrainment Ranges for a Neural Model,
UMBC Review,vol 12, p. 10-25, 2011
K. Hoffman and T. Seidman, A Variational Rod Model with a
Singular Nonlocal Potential, Arch. Rat. Mech. Anal., vol 200, no 1, p
255-284, (DOI) 10\ .1007/s00205-010-0368-9, 2011
[
abstract]
J.P. Previte, N. Sheils, K.A. Hoffman, T. Kiemel, E. Tytell,
Entrainment Ranges of Forced Phase Oscillators, J. Math. Bio.,
vol 62, p 589-603, DOI: 10.1007/s00285-010-0348-6, 2011
[
abstract]
K. Hoffman and R. Manning, An Extended Conjugate Point Theory
with Application to the Stability of Planar Buckling of an Elastic Rod
Subject to a Repulsive Self-potential, SIAM Mathematical Analysis,
vol 41, 465-494, 2009 [ pdf
] [ abstract]
P. V\'arkonyi, T. Kiemel, K. Hoffman, A. H. Cohen and P. Holmes,
On the Derivation and Tuning of Phase Oscillator Models
for Lamprey Central Pattern Generators, Journal Computational
Neural Science, vol 25, no 2 , 245-261, 2008 [
abstract]
J. Guckenheimer, K. Hoffman, W. Weckesser, Bifurcations
of Relaxation Oscillations near Folded Saddles,
International J. of Bifurcations and Chaos, vol 15, no 11, 34
11-3421, 2005 [
abstract]
K. Hoffman, Stability Results for Constrained Calculus of
Variations Problems: An Analysis of the Twisted Elastic Loop
, Proceedings of the Royal
Society of London, Series A: Mathematical and Physical Sciences,
vol. 461, 1357-1381, 2005 [
abstract]
K.A. Hoffman, Methods for
Determining Stability in Continuum Elastic Rod Models of DNA ,
Phil. Trans. Roy.Soc.,362(1820) p. 1301-1315, 2004. [pdf][ abstract]
K. Bold, C. Edwards, J. Guckenheimer, K. Hoffman, R. Oliva,
W. Weckesser, The forced van der Pol Equation
II: Canards in the Reduced System, SIAM Journal on Applied
Dynamical Systems} 2(4), 570-608, 2003. [pdf][
abstract]
K.A. Hoffman, J.H. Maddocks, and R.Manning,
Biological Interpretations of Bifurcation
Digrams for DNA Loops, Biopolymers, vol.70, no 2, p.145-157,
2003. [ pdf ]
[
abstract]
K. Hoffman and F. Santosa, A Simple
Model of Sheet Metal Assembly, SIAM Review, vol 45 No 3, 558-573,
2003. [pdf] [ abstract]
J. Guckenheimer, K. Hoffman, W. Weckesser,
The Forced van der Pol Equation I: The Slow Flow
and its Bifurcations, SIAM J. on Applied Dynamical Systems}, Vol
2, No. 1, p.1-35, 2003. [pdf] [ abstract]
K. Hoffman, R. Manning and R. Paffenroth,
Stability of the Twisted Elastic Strut subject
to Endloading, SIAM J. on Applied Dynamical Systems, vol.1, no. 1,
p.115-145, 2002. [pdf] [ abstract]
R. Manning and K. Hoffman, Stability
of n-Covered Circles for Elastic Rods with Constant Planar Intrinsic
Curvature, Journal of Elasticity, 62, 1-23, 2001.[pdf] [ abstract]
J. Guckenheimer, K. Hoffman and W. Weckesser, Numerical
Computation of Canards, International Journal for Bifurcation and
Chaos, 10, 2669-2688, Dec 2000. [pdf] [ abstract]
L. Greenberg, J.H. Maddocks, and K.A. (Rogers) Hoffman,
The Bordered Operator and the Index of a
Constrained Critical Point, Mathematische Nachrichten, 219,
109-124, 2000. [gzipped ps] [ abstract]
R.S. Manning, K.A. Rogers, and J.H. Maddocks,
Isoperimetric Conjugate Points with Applications to the Stability of
DNA Minicircles, Proceedings of the Royal Society of London:
Mathematical, Physical and Engineering Sciences, 454, 3047-3074,
1998.[pdf] [
abstract]
J.H. Maddocks, R.S. Manning, R.C. Paffenroth, K.A. Rogers, and
J.A. Warner, Iteractive Computation, Parameter
Continuation, and Visualization, International Journal of
Bifurcation and Chaos}, 7, 1699-1715, 1997. [pdf] [
abstract]
Book Chapters:
J. Guckenheimer, K. Hoffman, and W. Weckesser,
Global Bifurcations of Periodic Orbits in the
Forced Van der Pol Equation, in Global Analysis of Dynamical
Systems, eds H.W. Broer, B. Krauskopf and G. Vegter, Institute of
Physics Publishing, Dirac House, 2001. [pdf]
Proceedings Papers
H.V.Ly, G.A. Pinter, K.A.Rogers, R.C. del Rosario, and
D.E. Vaughan, Modeling the Chimera Domain
Decomposition Approach to Solving Conservation Laws, Proceedings
for the Industrial Mathematical Modeling Workshop for Graduate
Students, Editors B.G. Fitzpatrick and H.T.Tran, Center for Research
in Scientific Computation, Technical Report CRSC-TR96-7, February
1996.
Other Publications
M. Gobbert, K.A. Hoffman and J. Shen, The Conference
``Advances in Control of Partial Differential Equations'' in Honor in Prof.
Thomas Seidman, IEEE Control Systems Magazine, 27(2), 92-93, 2007.
[pdf]
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