RENDICONTI DEL SEMINARIO MATEMATICO

Shadowing in ordinary differential equations 113[61] VAN VLECK E.S., Numerical shadowing near hyperbolic trajectories, SIAM J. Sci. Comp. 16 (1995),1177–1189.[62] VAN VLECK E.S., Numerical shadowing using componentwise bounds and a sharper fixed point result,SIAM J. Sci. Comp. 22 (2001), 787–801.[63] VISWANATH D., Symbolic dynamics and periodic orbits of the Lorenz attractor, Nonlinearity 16(2003), 1035–1056.[64] WILCZAK D. AND ZGLICZYNSKI P., Heteroclinic connections between periodic orbits in planar restrictedcircular three body problem–a computer assisted proof, Commun. Math. Phys. 234 (2003),37–75.[65] WILKINSON J.H., Rounding errors in algebraic processes, Prentice-Hall, Englewood Cliffs, NewJersey 1963.AMS Subject Classification: 58F22, 58F13, 65H10.Hüseyin KOÇAK, Departments of Computer Science and Mathematics, University of Miami, Coral Gables,FL, 33124, U.S.A.e-mail: hk@cs.miami.eduKenneth PALMER, Department of Mathematics, National Taiwan University, Taipei, TAIWANe-mail: palmer@math.ntu.edu.twBrian COOMES, Department of Mathematics, University of Miami, Coral Gables, FL, 33124, U.S.A.e-mail: coomes@math.miami.edu