Preprints and work in progress
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A. Giorgilli, S. Paleari, T. Penati:
Extensive adiabatic invariants for nonlinear chains: part II.
Published and submitted papers
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A. Giorgilli, S. Paleari, T. Penati:
Extensive adiabatic invariants for nonlinear chains,
submitted.
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T. Genta, A. Giorgilli, S. Paleari, T. Penati:
Packets of resonant modes in the Fermi-Pasta-Ulam system,
Physics Letters A, 376, n 2x, xxxx-xxxx (2012).
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T. Penati, S. Paleari:
Breathers and Q-Breathers: two sides of the same coin,
SIAM Journal of Applied Dynamical Systems 11, 1, 1-30 (2012).
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D. Bambusi, S. Paleari, T. Penati:
Small amplitude breathers in 1D and 2D Klein-Gordon lattices
Applicable Analysis, 89, 9, 1313-1334 (2010).
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S. Paleari, C. Froeschlé, E. Lega:
Global dynamical properties of the Fermi-Pasta-Ulam system,
Celstial Mechanics and Dynamical Astronomy, 102, 241-254 (2008).
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S. Paleari, T.Penati:
Numerical methods and results in the FPU problem,
Lecture Notes in Physics, 728, 239-282 (2008).
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A. Carati, L. Galgani, A. Giorgilli, S. Paleari:
FPU phenomenon for generic initial data,
Physical Review E, 76, 022104 (2007).
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P. Lorenzoni, S. Paleari:
Metastability and dispersive shock waves in Fermi-Pasta-Ulam system,
Physica D, 221, n 2, 110-117 (2006).
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S. Paleari, T. Penati:
Equipartition times in Fermi-Pasta-Ulam system,
DCDS, Suppl.Vol., 710-720 (2005).
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A. Giorgilli, S. Paleari, T. Penati:
Local chaotic behaviour in the Fermi-Pasta-Ulam system,
DCDS-B, 5, n 4, 991-1004 (2005).
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L. Berchialla, A. Giorgilli, S. Paleari:
Exponentially long times to equipartition in the thermodinamic limit,
Physics Letters A, 321, n 3, 167-172 (2004).
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D. Bambusi, S. Paleari:
Families of periodic orbits for some PDEs in higher dimensions,
Communications on Pure and Applied Analysis, 1, n 2, 269-279 (2002).
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S. Paleari, M. Squassina:
A multiplicity result for perturbed symmetric quasilinear elliptic
systems,
Differential and Integral Equations, 14, n 7, 785-800 (2001);
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S. Paleari, D. Bambusi, S. Cacciatori:
Normal form and exponential stability for some nonlinear string
equation,
ZAMP, 52, n 6, 1033-1052 (2001);
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D. Bambusi, S. Paleari:
Families of periodic solution of resonant PDEs,
Journal of Nonlinear Sciences, 11, n 1, 69-87 (2001);
Proceedings
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S. Paleari, T. Penati:
Relaxation time to equilibrium in Fermi-Pasta-Ulam system,
in "Symmetry and Perturbation Theory" (Cala Gonone, 2004),
255-263, G.Gaeta, B.Prinari, S. Rauch and S. Terracini editors,
World Sci. Publishing (River Edge NJ, 2005);
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S. Paleari, D. Bambusi:
Small oscillations for some nonlinear PDEs,
in "Progress in Nonlinear Sciences. Volume I: Mathematical Problems of Nonlinear Dynamics" (Nizhny Novgorod, 2001),
332-337, L.M.Lerman and L.P.Shil'nikov editors,
University of N.Novgorod (N.Novgorod RU, 2002).
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S. Paleari:
Periodic solutions for resonant nonlinear PDEs,
in "Symmetry and Perturbation Theory" (Cala Gonone, 2001),
167-174, G.Gaeta and D.Bambusi editors,
World Sci. Publishing (River Edge NJ, 2001);
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D. Bambusi, S. Paleari:
Small oscillations in some nonlinear PDEs,
in "Long time behaviour of classical and quantum systems" (Bologna, 1999),
73-88, S.Graffi and A.Martinez editors,
World Sci. Publishing (River Edge NJ, 2001);
Theses
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S. Paleari:
Families of periodic solutions for some nonlinear PDEs,
100 pp. PhD thesis (2001).