|
| Publications |
|
N Neumaerker, J A G Roberts, and F Vivaldi, Distribution of periodic orbits for the Casati-Prosen map on rational lattices, Physica D 241 (2012) 360-371. |
|
|
J H Lowenstein, and F Vivaldi,
Flights in a pseudo-chaotic system, Chaos 21 (2011) 033117. |
|
|
J H Lowenstein, and F Vivaldi,
Approach to a rational rotation number in a piecewise isometric system, Nonlinearity 23 (2010) 2677-2721. |
|
|
J A G Roberts and F Vivaldi, A combinatorial model for reversible rational maps over finite fields Nonlinearity 22 (2009) 1965-1982. |
|
|
J H Lowenstein and F Vivaldi, Scaling dynamics of a cubic interval-exchange transformation Dynamical Systems 23 (2008) 283-298. |
|
|
G Poggiaspalla, J H Lowenstein and F Vivaldi, Geometric representation of interval exchange maps over algebraic number fields Nonlinearity 21 (2008) 149-177. |
|
|
J H Lowenstein, G Poggiaspalla and F Vivaldi, Interval exchange transformations over algebraic number fields: the cubic Arnoux-Yoccoz model Dynamical Systems 22 (2007) 73-106. |
|
|
F Vivaldi, The arithmetic of discretized rotations, in p-adic Mathematical Physics, A Y Khrennikov, Z Rakic, I V Volovich editors, AIP Conference Proceedings 826, AIP, Melville, New York (2006) p 162-173. |
|
|
F Vivaldi and J H Lowenstein,
Arithmetical properties of a family of irrational piecewise rotations, Nonlinearity 19 (2006) 1069-1097. |
|
|
D Jogia, J A G Roberts and F Vivaldi,
An algebraic geometric approach to integrable maps of the plane, J. Phys. A 39 (2006) 1133-1149. |
|
|
J H Lowenstein, G Poggiaspalla, and F Vivaldi,
Sticky orbits in a kicked oscillator model, Dynamical Systems 20 (2005) 413-451. |
|
|
J A G Roberts and F Vivaldi, Signature of time-reversal symmetry in polynomial
automorphisms over finite fields, Nonlinearity 18 (2005) 2171-2192. |
|
|
F Vivaldi, Maps over finite fields: integrability and reversibility, in Oberwolfach Reports Finite fields: theory and applications 1 No. 4 (2004). |
|
|
J H Lowenstein, K L Kouptsov and F Vivaldi, Recursive tiling and geometry of
piecewise rotations by pi/7, Nonlinearity 17 (2004) 371-395. |
|
|
F Vivaldi and I Vladimirov,
Pseudo-randomness of round-off errors in discretized linear maps on the plane, Int. J. of Bifurcations and Chaos 13 (2003) 3373-3393. |
|
|
J A G Roberts, D Jogia, and F Vivaldi, The Hasse-Weil bound and integrability detection in rational maps J. Nonl. Math. Phys.10 (2003) 166-180. |
|
|
J A G Roberts and F Vivaldi,
Arithmetical method to detect integrability in maps, Phys. Rev. Lett. 90 No. 3 (2003) [034102]. |
|
|
K Koupstov, J H Lowenstein and F Vivaldi,
Quadratic rational rotations of the torus and dual lattice maps, Nonlinearity 15 (2002) 1795-1842. |
|
|
J Pettigrew, J A G Roberts and F Vivaldi,
Complexity of regular invertible p-adic motions, Chaos 11 (2001) 849-857. |
|
|
J H Lowenstein and F Vivaldi,
Embedding dynamics for round-off errors near a periodic orbit, Chaos 10 (2000) 747-755. |
|
|
R Carretero-Gonzales, D K Arrowsmith, and F Vivaldi,
One-dimensional dynamics for traveling fronts in coupled map lattices, Phys Rev E 61 (2000) 1329-1336. |
|
|
D Bosio and F Vivaldi,
Round-off errors and p-adic numbers, Nonlinearity 13 (2000) 309-322. |
|
|
|