Publications by Brian Coomes
 Transversal Connecting Orbits from Shadowing,
Numerische Mathematik
106
(2007)
427469
(with Hüseyin Koçak and Kenneth J. Palmer)
 Shadowing in ODE's,
Rendiconti del Seminario Matematico
65
(2007)
89114
(with Hüseyin Koçak and Kenneth J. Palmer, I am the third author).
 Homoclinic Shadowing,
Journal of Dynamics and Differential Equations
17
(2005),
175215 (with Hüseyin Koçak
and Kenneth J. Palmer).

Computation of long periodic orbits in chaotic dynamical
systems, The Australian Mathematical Society Gazette 24 (1997),
183190 (with Hüseyin Koçak and Kenneth J. Palmer).

Long periodic shadowing, Numerical Algorithms 14
(1997), 5578 (with Hüseyin Koçak and Kenneth J. Palmer).

Shadowing orbits of ordinary differential equations on
invariant submanifolds, Transactions of the American Mathematical
Society 349 (1997), 203216.

Shadowing in discrete dynamical systems, in "Six Lectures
on Dynamical Systems," World Scientific, Singapore (1996), 163211.
(with Hüseyin Koçak and Kenneth J. Palmer)

On the torsion part of C^[n] with respect to
the action of a derivation, Proceedings of the American
Mathematical Society 123 (1995), 21912197.

Rigorous computational shadowing of orbits of ordinary
differential equations, Numerische Mathematik 69 (1995),
401421 (with Hüseyin Koçak and Kenneth J. Palmer).

A Shadowing Theorem for ordinary differential
equations, Zeitschrift fur angewandte Mathematik und Physik
46 (1995), 85106
(with Hüseyin Koçak and Kenneth J. Palmer).

Shadowing orbits of ordinary differential equations,
Journal of Computational and Applied Mathematics 52 (1994),
3543 (with Hüseyin Koçak and Kenneth J. Palmer).

Periodic shadowing, in "Chaotic Numerics," Proceedings
of Chaotic Numerics: An International Workshop on the Approximation
and Computation of Complicated Dynamical Behavior, Contemporary
Mathematics 172 (1994), 115130, American Mathematical
Society, Providence, Rhode Island (with Hüseyin Koçak and
Kenneth J. Palmer).

Psymmetries of twodimensional pf vector fields,
Differential and Integral Equations 5 (1992), 461480.

Linearization of polynomial flows and spectra of
derivations, Journal of Dynamics and Differential
Equations 3 (1991), 2966 (with Victor Zurkowski).

Polynomial flows on C^n, Transactions of the
American Mathematical Society 302 (1990), 493506.

The Lorenz system does not have a polynomial flow,
Journal of Differential Equations 82 (1989),
386407.
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Last Updated: Thursday, 28Aug2008 21:37:37 EDT.