Publications by Brian Coomes

• Transversal Connecting Orbits from Shadowing, Numerische Mathematik 106 (2007) 427--469 (with Hüseyin Koçak and Kenneth J. Palmer)
• Shadowing in ODE's, Rendiconti del Seminario Matematico 65 (2007) 89--114 (with Hüseyin Koçak and Kenneth J. Palmer, I am the third author).
• Homoclinic Shadowing, Journal of Dynamics and Differential Equations 17 (2005), 175--215 (with Hüseyin Koçak and Kenneth J. Palmer).
• Computation of long periodic orbits in chaotic dynamical systems, The Australian Mathematical Society Gazette 24 (1997), 183--190 (with Hüseyin Koçak and Kenneth J. Palmer).
• Long periodic shadowing, Numerical Algorithms 14 (1997), 55--78 (with Hüseyin Koçak and Kenneth J. Palmer).
• Shadowing orbits of ordinary differential equations on invariant submanifolds, Transactions of the American Mathematical Society 349 (1997), 203--216.
• Shadowing in discrete dynamical systems, in "Six Lectures on Dynamical Systems," World Scientific, Singapore (1996), 163--211. (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), 2191--2197.
• Rigorous computational shadowing of orbits of ordinary differential equations, Numerische Mathematik 69 (1995), 401--421 (with Hüseyin Koçak and Kenneth J. Palmer).
• A Shadowing Theorem for ordinary differential equations, Zeitschrift fur angewandte Mathematik und Physik 46 (1995), 85--106 (with Hüseyin Koçak and Kenneth J. Palmer).
• Shadowing orbits of ordinary differential equations, Journal of Computational and Applied Mathematics 52 (1994), 35--43 (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), 115--130, American Mathematical Society, Providence, Rhode Island (with Hüseyin Koçak and Kenneth J. Palmer).
• P-symmetries of two-dimensional p-f vector fields, Differential and Integral Equations 5 (1992), 461--480.
• Linearization of polynomial flows and spectra of derivations, Journal of Dynamics and Differential Equations 3 (1991), 29--66 (with Victor Zurkowski).
• Polynomial flows on C^n, Transactions of the American Mathematical Society 302 (1990), 493--506.
• The Lorenz system does not have a polynomial flow, Journal of Differential Equations 82 (1989), 386--407.