Published and submitted papers
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V. Danesi, M. Sansottera, S. Paleari, T. Penati:
Continuation of spatially localized periodic solutions in
discrete NLS lattices via normal forms.
Communications in Nonlinear Science and Numerical Simulations 108 (4), 106266 (2022),
DOI: 10.1016/j.cnsns.2022.106266
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T. Penati, V. Danesi, S. Paleari:
Low dimensional completely resonant tori in Hamiltonian Lattices
and a Theorem of Poincaré,
Mathematics in Engineering, 3 (4), 1-20 (2021),
DOI: 10.3934/mine.2021029
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M. Sansottera, V. Danesi, T. Penati, S. Paleari:
On the continuation of degenerate periodic orbits via normal form:
Lower dimensional resonant tori,
Communications in Nonlinear Science and Numerical Simulations 90, 105360 (2020),
DOI: 10.1016/j.cnsnc.2020.105360
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D.E. Pelinovsky, T. Penati, S. Paleari:
Existence and stability of Klein-Gordon breathers in the
small-amplitude limit,
in Dörfler W. et al. (eds) "Mathematics of Wave phenomena".
Trends in Mathematics, Birkäuser (2020),
DOI:
10.1007/978-3-030-47174-3_16
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T. Penati, V. Koukouloyannis, M. Sansottera, P.G. Kevrekidis and
S. Paleari:
On the nonexistence of degenerate phase-shift multibreathers in
Klein-Gordon models with interactions beyond nearest neighbor,
Physica D, 398, 92-114 (2019).
DOI:
10.1016/j.physd.2019.06.002
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T. Penati, M. Sansottera, S. Paleari, V. Koukouloyannis and
P.G. Kevrekidis:
On the nonexistence of degenerate phase-shift discrete solitons
in a dNLS nonlocal lattice,
Physica D, 370, 1-13 (2018).
DOI:
10.1016/j.physd.2017.12.012
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S. Paleari, T. Penati:
Long time stability of small amplitude Breathers in a mixed
FPU-KG model,
ZAMP, 67, 148 (2016).
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D.E. Pelinovsky, T. Penati, S. Paleari:
Approximation of small-amplitude weakly coupled oscillators
with discrete nonlinear Schroedinger equations,
Reviews in Mathematical Physics, 28, n 7, 1650015 (2016).
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S. Paleari, T. Penati:
An extensive resonant normal form for an arbitrary large
Klein-Gordon model,
Annali di Matematica Pura ed Applicata, 195, n 1, 133-165
(2016).
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A. Giorgilli, S. Paleari, T. Penati:
An extensive adiabatic invariant for the Klein-Gordon model in
the thermodynamic limit,
Annales Henri Poincaré, 16, n 4, 897-959 (2015).
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D. Bambusi, A. Giorgilli, S. Paleari, T. Penati:
Normal Form and Energy Conservation of High Frequency
Subsystems Without Nonresonance Conditions,
Rendiconti. Scienze matematiche e applicazioni, A (Istituto
lombardo Accademia di scienze e lettere), 147, 149-165
(2013).
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A. Giorgilli, S. Paleari, T. Penati:
Extensive adiabatic invariants for nonlinear chains,
Journal of Statistical Physics, 148, n 6, 1106-1134 (2012).
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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 28-29, 2038-2044 (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, Extended abstracts and Editorials
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S. Paleari, T. Penati:
Hamiltonian Lattice Dynamics,
Editorial for a Special Issue on the Journal
Mathematics in Engineering, 1 (4), 881-887 (2019),
DOI: 10.3934/mine.2019.4.881;
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S. Paleari, T. Penati:
Generalized Discrete Nonlinear Schroedinger as a Normal Form at the
Thermodynamic Limit for the Klein-Gordon Chain,
Extended Abstracts Spring 2014: Hamiltonian Systems and Celestial Mechanics,
M. Corbera, J.M. Cors, J. Llibre and A. Korobeinikov editors,
in Trends in Mathematics, 4, 53-58 (2015),
DOI: 10.1007/978-3-319-22129-8_10;
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S. Paleari, T. Penati:
An extensive adiabatic invariant for the Klein-Gordon model in
the thermodynamic limit,
``Lattice Differential Equations (Oberwolfach, 2013),
G. James, D. Pelinovsky, Z. Rapti and G. Schneider editors,
in Oberwolfach Rep. 10, n.3, 2656-2660 (2013),
DOI: 10.4171/OWR/2013/46;
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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).