| Universal behaviour in families of area-preserving maps JM Greene, RS MacKay, F Vivaldi, MJ Feigenbaum Physica D: Nonlinear Phenomena 3 (3), 468-486, 1981 | 389 | 1981 |
| Integrable Hamiltonian systems and the Painlevé property T Bountis, H Segur, F Vivaldi Physical Review A 25 (3), 1257, 1982 | 311 | 1982 |
| One-dimensional classical many-body system having a normal thermal conductivity G Casati, J Ford, F Vivaldi, WM Visscher Physical review letters 52 (21), 1861, 1984 | 301 | 1984 |
| Arithmetical properties of strongly chaotic motions I Percival, F Vivaldi Physica D: Nonlinear Phenomena 25 (1-3), 105-130, 1987 | 168 | 1987 |
| Origin of long-time tails in strongly chaotic systems F Vivaldi, G Casati, I Guarneri Physical review letters 51 (9), 727, 1983 | 126 | 1983 |
| Search for randomness in the kicked quantum rotator G Casati, J Ford, I Guarneri, F Vivaldi Physical Review A 34 (2), 1413, 1986 | 110 | 1986 |
| Geometry of p-adic Siegel discs DK Arrowsmith, F Vivaldi Physica D: Nonlinear Phenomena 71 (1-2), 222-236, 1994 | 94 | 1994 |
| Global stability of a class of discontinuous dual billiards F Vivaldi, AV Shaidenko Communications in mathematical physics 110, 625-640, 1987 | 93 | 1987 |
| Numerical study of billiard motion in an annulus bounded by non-concentric circles N Saitô, H Hirooka, J Ford, F Vivaldi, GH Walker Physica D: Nonlinear Phenomena 5 (2-3), 273-286, 1982 | 78 | 1982 |
| Quasi-periodicity, global stability and scaling in a model of Hamiltonian round-off J Lowenstein, S Hatjispyros, F Vivaldi Chaos: An Interdisciplinary Journal of Nonlinear Science 7 (1), 49-66, 1997 | 75 | 1997 |
| Analytically solvable dynamical systems which are not integrable B Eckhardt, J Ford, F Vivaldi Physica D: Nonlinear Phenomena 13 (3), 339-356, 1984 | 73 | 1984 |
| A theory of modulational diffusion BV Chirikov, MA Lieberman, DL Shepelyansky, FM Vivaldi Physica D: Nonlinear Phenomena 14 (3), 289-304, 1985 | 71 | 1985 |
| Weak instabilities in many-dimensional Hamiltonian systems F Vivaldi Reviews of modern physics 56 (4), 737, 1984 | 70 | 1984 |
| Quadratic rational rotations of the torus and dual lattice maps KL Kouptsov, JH Lowenstein, F Vivaldi Nonlinearity 15 (6), 1795, 2002 | 67 | 2002 |
| Arithmetical method to detect integrability in maps JAG Roberts, F Vivaldi Physical review letters 90 (3), 034102, 2003 | 65 | 2003 |
| Recursive tiling and geometry of piecewise rotations by π/7 JH Lowenstein, KL Kouptsov, F Vivaldi Nonlinearity 17 (2), 371, 2003 | 64 | 2003 |
| A linear code for the sawtooth and cat maps I Percival, F Vivaldi Physica D: Nonlinear Phenomena 27 (3), 373-386, 1987 | 63 | 1987 |
| An algebraic geometric approach to integrable maps of the plane D Jogia, JAG Roberts, F Vivaldi Journal of Physics A: Mathematical and General 39 (5), 1133, 2006 | 58 | 2006 |
| An algorithmic view of pseudochaos BV Chirikov, F Vivaldi Physica D: Nonlinear Phenomena 129 (3-4), 223-235, 1999 | 58 | 1999 |
| Anomalous transport in a model of Hamiltonian round-off JH Lowenstein, F Vivaldi Nonlinearity 11 (5), 1321, 1998 | 54 | 1998 |
