Evan's function:
Background articles:
http://www.iumj.indiana.edu/Help/simplesearch.php?query=Evans
J. Evans, "Nerve axon equations. I. Linear approximations".
Indiana Univ. Math. J. 21 (1971/72), 877--885.
http://www.iumj.indiana.edu/oai/1972/21/21071/21071.xhtml
J. Evans, "Nerve Axon Equations: II Stability at Rest",
Indiana Univ. Math. J. 21 No. 1 (1972) , 75-90
http://www.iumj.indiana.edu/IUMJ/fulltext.php?year=1972&volume=21&artid=22009
J. Evans, "Nerve Axon Equations: III Stability of the Nerve Impulse",
Indiana Univ. Math. J. 21 No. 6 (1972) , 577-593
http://www.iumj.indiana.edu/IUMJ/fulltext.php?year=1972&volume=21&artid=22048
J. Evans, "Nerve Axon Equations: IV The Stable and the Unstable Impulse",
Indiana Univ. Math. J. 24 No. 12 (1975) , 1169-1190
http://www.iumj.indiana.edu/IUMJ/fulltext.php?year=1975&volume=24&artid=24096
C. K. R. T. Jones, "Stability of the traveling wave solutions of the FitzHugh-Nagumo system",
Trans. Amer. Math. Soc., 286 (1984), pp. 431-469.
J. Alexander, R. Gardner, and C. Jones, "A topological invariant arising in the stability analysis of
travelling waves", J. Reine Angew. Math., 410 (1990), pp. 167-212.
J. Alexander, C. Jones, "Existence and stability of asymptotically oscillatory double pulses",
J. Reine Angew. Math. 446 (1994), 49-79.
http://www.cwru.edu/artsci/math/alexander/abstracts/doubleabs.html
Publications of J. C. Alexander:
http://www.cwru.edu/artsci/math/alexander/pubs.html
To find:
T. J. Bridges and G. Derks, "The symplectic Evans matrix, and the instability of solitary waves and
fronts with symmetry", Arch. Rat. Mech. Anal. 156(2001), pp. 1-87. C273
A. L. Afendikov and T. J. Bridges, "Instability of the Hocking-Stewartson pulse and its implications for
three-dimensional Poiseuille flow", Proc. R. Soc. Lond. A, 457 (2001), pp. 1-16. C273, C282, C283
L. A. Allen and T. J. Bridges, "Numerical exterior algebra and the compound matrix method",
Numerische Mathematik 92, (2002), 197-232. C273, C283
B. S. Ng and W. H. Reid, "An initial value Method for eigenvalue problems using compound matrices",
J. Comput. Phys., 30 (1979), 125-136. C273, C283, C284
B. S. Ng and W. H. Reid, "The compound matrix method for ordinary differential equation",
J. Comput. Phys., 58 (1985), 209-228. C273, C283, C284
Recent:
V. Gubernov, G. N. Mercer, H. S. Sidhu, R. O. Weber "Numerical methods for the travelling
wave solutions in reaction-diffusion equations", ANZIAM J. 44 (E), pp.C271-C289, 2003
http://anziamj.austms.org.au/V44/CTAC2001/Gube/home.html
V. Gubernov, G. N. Mercer, H. S. Sidhu, R. O. Weber "EVANS FUNCTION STABILITY
OF COMBUSTION WAVES", SIAM J. APPL. MATH. Vol. 63, No. 4, pp.1259-1275, 2003
http://epubs.siam.org/sam-bin/getfile/SIAP/articles/40024.pdf
S. Coombes, M. R. Owen "Evans Functions for Integral Neural Field Equations with Heaviside Firing
Rate Function", SIAM J. Applied Dynamical Systems, Vol. 3, No. 4, pp. 574-600, 2004
http://eprints.nottingham.ac.uk/archive/00000130/
Markus Owen's Papers:
http://www.maths.nott.ac.uk/personal/pmzmro/papers.html
S Coombes's Papers:
http://www.maths.nott.ac.uk/personal/sc/publications.html
G.Samaey, B.Sandstede "Determining stability of pulses for partial differential equations
with time delays", Dynamical Systems (in press)
http://www.maths.surrey.ac.uk/personal/st/B.Sandstede/publications/delay.pdf
Publications of Björn Sandstede:
http://www.maths.surrey.ac.uk/personal/st/B.Sandstede/publications.php
Todd Kapitula "Stability analysis via the Evans function"
http://www.math.unm.edu/~kapitula/presentations/EvansPrimer.pdf
http://www.math.unm.edu/~kapitula/papers/OnlineReviewArticle.pdf
T.Kapitula, B.Sandstede "Edge Bifurcations for Near Integrable Systems via Evans Function
Techniques", SIAM Journal on Mathematical Analysis, Vol.33, N.5, pp. 1117-1143, 2002
http://epubs.siam.org/sam-bin/dbq/article/37230
Publications of T. Kapitula:
http://www.math.unm.edu/~kapitula/articles/articles.html
others:
R. L. Pego and M. I. Weinstein, "Asymptotic stability of solitary waves",
Comm. Math. Phys., 164 (1994), pp. 305-349.
T. Kapitula and B. Sandstede, "Edge bifurcations for near integrable systems via Evans function
techniques", SIAM J. Math. Anal., 33 (2002), pp. 1117-1143.
http://dx.doi.org/10.1137/S0036141000372301
T. Kapitula "Stability analysis of pulses via the Evans function: dissipative systems"
a chapter in the book entitled ”Dissipative Solitons” (Lecture Notes in Physics) (to appear).
http://www.math.unm.edu/~kapitula/papers/OnlineReviewArticle.pdf