Preprints

Se le ho pestato il piede non e' colpa mia, e' lei che ha il piede longilineo [Il latitante]
Ognuno fa la gamba secondo il suo passo

These are works broadly concerned with issues in dynamical systems, especially on numerical aspects of the same.

Preprints: Numerical Dynamics

Connecting orbits, invariant tori: "newer" works

Lyapunov--Type Numbers and Torus Breakdown: Numerical Aspects and a Case Study [With J. Lorenz. In Numerical Algorithms 14 (1997), pp.79-102.]
Computing connecting orbits via an improved algorithm for continuing invariant subspaces [With J. Demmel and M. Friedman. In SIAM J. Scientific Computing 22 (2000), pp. 81-94.]
Point-to-periodic and periodic-to-periodic connections [With J. Rebaza. In BIT 44 (2004), pp. 41-62 and (corrige) pp. 617-618 (2004).]
A geometrical method for the approximation of invariant tori [With B. Rasmussen. In J. Computational Applied Mathematics 216 (2008), pp. 388--412.]

Lyapunov exponents, spectral intervals and all that

Lyapunov and other spectra: a survey [With E. Van Vleck. In SIAM Publications volume on ``Collected Lectures on the Preservation of Stability Under Discretization'', Ed.s D. Estep and S. Tavener (2002), pp. 197--218.]
Jacobian free computation of Lyapunov exponents [In J. Dynamics and Differential Equations 14 (2002), pp. 697-717.]
Lyapunov spectral intervals: theory and computation [With E. Van Vleck. In SIAM J. Numerical Analysis 40-2 (2003), pp.516-542.]
Lyapunov exponents of systems evolving on quadratic groups [With L. Lopez. In SIAM J. Matrix Analysis and Applications 24 (2003), pp. 1175-1185.]
Smooth SVD on the Lorentz group with application to computation of Lyapunov exponents [With C. Elia and L. Lopez. In J. of Computational and Applied Mathematics 164-165 (2004), pp. 255-264.]
On the error in computing Lyapunov exponents by QR methods [With E. Van Vleck. In Numerische Mathematik 101 (2005), pp. 619-642.]
Smooth SVD on symplectic group and Lyapunov exponents approximation [With L. Lopez. In CALCOLO 43-1 (2006), pp. 1-15.]
Perturbation theory for approximation of Lyapunov exponents by QR methods [With E. Van Vleck. In J. Dynamics and Differential Equations 18-3 (2006), pp. 815-840.]
The singular value decomposition to approximate spectra of dynamical systems. Theoretical aspects [With C. Elia. In J. Differential Equations 230 (2006), pp. 502-531.]
Lyapunov and Sacker-Sell spectral intervals [With E. Van Vleck. In J. Dynamics and Differential Equations 19-2 (2007), pp. 265-293.]
Singular value decomposition algorithms to approximate spectra of dynamical systems [With C. Elia. In Mathematics and Computers in Simulation 79--4 (2008), pp. 1235-1254.]
Error in approximation of Lyapunov exponents on inertial manifolds: the Kuramoto-Sivashinsky equation [With M. Jolly, R. Rosa, E. Van Vleck. In J. Discrete Contin. Dyn. Syst. Ser. B 9-3-4 (2008), pp. 555--580.]
On the error in QR integration [With E. Van Vleck. In SIAM J. Num. Analysis 46-3 (2009), pp. 1166--1189.]
Exponential Dichotomy on the real line: SVD and QR methods [With C. Elia, E. Van Vleck. In J. Differential Equations 248 (2010), pp. 287-308.]
Numerical techniques for approximating Lyapunov exponents and their implementation [With M. Jolly, E. Van Vleck. In Journal of Computational and Nonlinear Dynamics 6-1 (Jan 2011).]
Detecting exponential dichotomy on the real line: SVD and QR algorithms [With C. Elia, E. Van Vleck. In BIT 51-3 (2011), pp. 555--579.]
Lyapunov Exponents: Computation [With E. Van Vleck. In Encyclopedia of Applied and Computational Mathematics, DOI 10.1007/978-3-540-70529-1, Springer-Verlag Berlin Heidelberg 2013, B. Engquist (eds.).]