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Prof. GUIDO GENTILE

Contributo in Rivista

• Maximal Tori in Infinite-Dimensional Hamiltonian Systems: a Renormalisation Group Approach, CORSI, LIVIA; GENTILE, GUIDO; PROCESI, MICHELA, , 2024Link identifier #identifier_person_43871-1 Dettaglio
• On the crest factor and its relevance in detecting turbulent behaviour in solutions of partial differential equations, GENTILE, GUIDO, , 2022Link identifier #identifier_person_146679-2 Dettaglio
• Response solutions for strongly dissipative quasi-periodically forced systems with arbitrary nonlinearities and frequencies, GENTILE, GUIDO; VAIA, FAENIA, , 2021Link identifier #identifier_person_154140-3 Dettaglio
• Explicit Estimates on the Torus for the Sup-norm and the Crest Factor of Solutions of the Modified Kuramoto–Sivashinky Equation in One and Two Space Dimensions, GENTILE, GUIDO, , 2020Link identifier #identifier_person_131803-4 Dettaglio
• Forced quasi-periodic oscillations in strongly dissipative systems of any finite dimension, GENTILE, GUIDO; MAZZOCCOLI, ALESSANDRO; VAIA, FAENIA, , 2019Link identifier #identifier_person_5699-5 Dettaglio
• Power computation for the triboelectric nanogenerator, GENTILE, GUIDO, , 2018Link identifier #identifier_person_149558-6 Dettaglio
• Comparisons between the pendulum with varying length and the pendulum with oscillating support, GENTILE, GUIDO, , 2017Link identifier #identifier_person_24286-7 Dettaglio
• Fast numerics for the spin orbit equation with realistic tidal dissipation and constant eccentricity, GENTILE, GUIDO, , 2017Link identifier #identifier_person_91715-8 Dettaglio
• Periodic and quasi-periodic attractors for the spin–orbit evolution of Mercury with a realistic tidal torque, GENTILE, GUIDO, , 2017Link identifier #identifier_person_25438-9 Dettaglio
• Resonant tori of arbitrary codimension for quasi-periodically forced systems, CORSI, LIVIA; GENTILE, GUIDO, , 2017Link identifier #identifier_person_67844-10 Dettaglio
• Response solutions for forced systems with large dissipation and arbitrary frequency vector, GENTILE, GUIDO; VAIA, FAENIA, , 2017Link identifier #identifier_person_10694-11 Dettaglio
• Construction of the Lyapunov Spectrum in a Chaotic System Displaying Phase Synchronization, GENTILE, GUIDO; GIULIANI, ALESSANDRO, , 2016Link identifier #identifier_person_90831-12 Dettaglio
• Stable dynamics in forced systems with sufficiently high/low driving frequency, GENTILE, GUIDO, , 2016Link identifier #identifier_person_176325-13 Dettaglio
• Basins of attraction in forced systems with time-varying dissipation, GENTILE, GUIDO, , 2015Link identifier #identifier_person_119524-14 Dettaglio
• Invariant curves for exact symplectic twist maps of the cylinder with Bryuno rotation numbers, GENTILE, GUIDO, , 2015Link identifier #identifier_person_98096-15 Dettaglio
• Resonant motions in the presence of degeneracies for quasi-periodically perturbed systems, CORSI, LIVIA; GENTILE, GUIDO, , 2015Link identifier #identifier_person_100123-16 Dettaglio
• The high-order Euler method and the spin-orbit model, GENTILE, GUIDO, , 2015Link identifier #identifier_person_199202-17 Dettaglio
• Convergent series for quasi-periodically forced strongly dissipative systems, CORSI, LIVIA; FEOLA, ROBERTO; GENTILE, GUIDO, , 2014Link identifier #identifier_person_140307-18 Dettaglio
• The effects of time-dependent dissipation on the basins of attraction for the pendulum with oscillating support, GENTILE, GUIDO, , 2014Link identifier #identifier_person_2412-19 Dettaglio
• Domains of analyticity for response solutions in strongly dissipative forced systems, CORSI, LIVIA; FEOLA, ROBERTO; GENTILE, GUIDO, , 2013Link identifier #identifier_person_166078-20 Dettaglio
• Lower-dimensional invariant tori for perturbations of a class of non-convex Hamiltonian functions, CORSI, LIVIA; FEOLA, ROBERTO; GENTILE, GUIDO, , 2013Link identifier #identifier_person_32705-21 Dettaglio
• On a class of Hill’s equations having explicit solutions, GENTILE, GUIDO, , 2013Link identifier #identifier_person_104884-22 Dettaglio
• Attractiveness of periodic orbits in parametrically forced systems withtime-increasing friction, GENTILE, GUIDO, , 2012Link identifier #identifier_person_34431-23 Dettaglio
• Construction of quasi-periodic response solutions in forced strongly dissipative systems, GENTILE, GUIDO, , 2012Link identifier #identifier_person_6279-24 Dettaglio
• Oscillator synchronisation for arbitrary quasi-periodic forcing, CORSI, LIVIA; GENTILE, GUIDO, , 2012Link identifier #identifier_person_43619-25 Dettaglio
• Resonances within chaos, GENTILE, GUIDO; GIULIANI, ALESSANDRO, , 2012Link identifier #identifier_person_157023-26 Dettaglio
• KAM Theory in Configuration Space and Cancellations in the Lindstedt Series, CORSI, LIVIA; GENTILE, GUIDO; PROCESI, MICHELA, , 2011Link identifier #identifier_person_134932-27 Dettaglio
• Arnolʹd tongues for a resonant injection-locked frequency divider: analytical and numerical results, GENTILE, GUIDO, , 2010Link identifier #identifier_person_158170-28 Dettaglio
• Quasiperiodic motions in dynamical systems: review of a renormalization group approach, GENTILE, GUIDO, , 2010Link identifier #identifier_person_164758-29 Dettaglio
• Quasi-periodic motions in strongly dissipative forced systems, GENTILE, GUIDO, , 2010Link identifier #identifier_person_151383-30 Dettaglio
• Frequency locking in an injection-locked frequency divider equation, GENTILE, GUIDO, , 2009Link identifier #identifier_person_95148-31 Dettaglio
• Periodic solutions for a class of nonlinear partial differential equations in higher dimension, GENTILE, GUIDO; PROCESI, MICHELA, , 2009Link identifier #identifier_person_50915-32 Dettaglio
• A fluctuation theorem in a random environment, GENTILE, GUIDO, , 2008Link identifier #identifier_person_122858-33 Dettaglio
• Melnikov theory to all orders and Puiseux series for subharmonic solutions, CORSI, LIVIA; GENTILE, GUIDO, , 2008Link identifier #identifier_person_74767-34 Dettaglio
• Periodic solutions for the Schrödinger equation with nonlocal smoothing nonlinearities in higher dimension, GENTILE, GUIDO; PROCESI, MICHELA, , 2008Link identifier #identifier_person_15491-35 Dettaglio
• Selection rules for periodic orbits and scaling laws for a driven damped quartic oscillator, GENTILE, GUIDO, , 2008Link identifier #identifier_person_173080-36 Dettaglio
• Bifurcation curves of subharmonic solutions and Melnikov theory under degeneracies, GENTILE, GUIDO, , 2007Link identifier #identifier_person_113130-37 Dettaglio
• Bifurcation phenomena and attractive periodic solutions in the saturating inductor circuit, GENTILE, GUIDO, , 2007Link identifier #identifier_person_40005-38 Dettaglio
• Borel summability and Lindstedt series, GENTILE, GUIDO; GIULIANI, ALESSANDRO, , 2007Link identifier #identifier_person_71221-39 Dettaglio
• Degenerate lower-dimensional tori under the Bryuno condition, GENTILE, GUIDO, , 2007Link identifier #identifier_person_76840-40 Dettaglio
• Globally and locally attractive solutions for quasi-periodically forced systems, GENTILE, GUIDO, , 2007Link identifier #identifier_person_47310-41 Dettaglio
• Periodic attractors for the varactor equation, GENTILE, GUIDO, , 2007Link identifier #identifier_person_96719-42 Dettaglio
• Conservation of resonant periodic solutions for the one dimensionalnonlinear Schrodinger equation., GENTILE, GUIDO; PROCESI, MICHELA, , 2006Link identifier #identifier_person_6615-43 Dettaglio
• Fractional Lindstedt series, GENTILE, GUIDO; GIULIANI, ALESSANDRO, , 2006Link identifier #identifier_person_123338-44 Dettaglio
• Invariant sets for the varactor equation, GENTILE, GUIDO, , 2006Link identifier #identifier_person_20210-45 Dettaglio
• Quasiperiodic attractors, Borel summability and the Bryuno condition for strongly dissipative systems, GENTILE, GUIDO, , 2006Link identifier #identifier_person_136948-46 Dettaglio
• Resummation of perturbation series and reducibility for Bryuno skew-product flows, GENTILE, GUIDO, , 2006Link identifier #identifier_person_29037-47 Dettaglio
• Breakdown of Lindstedt expansion for chaotic maps, GENTILE, GUIDO, , 2005Link identifier #identifier_person_14661-48 Dettaglio
• Degenerate elliptic resonances, GENTILE, GUIDO, , 2005Link identifier #identifier_person_191329-49 Dettaglio
• Periodic solutions for completely resonant nonlinear wave equations with Dirichlet boundary conditions, GENTILE, GUIDO; PROCESI, MICHELA, , 2005Link identifier #identifier_person_94151-50 Dettaglio
• Periodic solutions of completely resonant nonlinear wave equations., GENTILE, GUIDO; PROCESI, MICHELA, , 2005Link identifier #identifier_person_37177-51 Dettaglio
• Stability for quasi-periodically perturbed Hill's equations, GENTILE, GUIDO, , 2005Link identifier #identifier_person_196723-52 Dettaglio
• Summation of divergent series and Borel summability for strongly dissipative differential equations with periodic or quasiperiodic forcing terms, GENTILE, GUIDO, , 2005Link identifier #identifier_person_136146-53 Dettaglio
• Construction of periodic solutions of nonlinear wave equations with Dirichlet boundary conditions by the Lindstedt series method, GENTILE, GUIDO, , 2004Link identifier #identifier_person_102613-54 Dettaglio
• Convergence of Lindstedt series for the nonlinear wave equation, GENTILE, GUIDO, , 2004Link identifier #identifier_person_78186-55 Dettaglio
• Global attraction to the origin in a parametrically driven nonlinear oscillator, GENTILE, GUIDO, , 2004Link identifier #identifier_person_126191-56 Dettaglio
• Pure point spectrum for two-level systems in a strong quasi-periodic field, GENTILE, GUIDO, , 2004Link identifier #identifier_person_14052-57 Dettaglio
• Scaling of the critical function for the standard map: some numerical results, GENTILE, GUIDO, , 2004Link identifier #identifier_person_95469-58 Dettaglio
• KAM theory, Lindstedt series and the stability of the upside-down pendulum, GENTILE, GUIDO, , 2003Link identifier #identifier_person_82303-59 Dettaglio
• On a class of integrable time-dependent dynamical systems, GENTILE, GUIDO, , 2003Link identifier #identifier_person_90347-60 Dettaglio
• Quasi-periodic solutions for two-level systems, GENTILE, GUIDO, , 2003Link identifier #identifier_person_84151-61 Dettaglio
• Hyperbolic low-dimensional invariant tori and summations of divergent series, GENTILE, GUIDO, , 2002Link identifier #identifier_person_47283-62 Dettaglio
• Lindstedt series for perturbations of isochronous systems: a review of the general theory, GENTILE, GUIDO, , 2002Link identifier #identifier_person_187424-63 Dettaglio
• On the stability of the upside-down pendulum with damping, GENTILE, GUIDO, , 2002Link identifier #identifier_person_93050-64 Dettaglio
• Periodic and quasi-periodic orbits for the standard map, GENTILE, GUIDO, , 2002Link identifier #identifier_person_166867-65 Dettaglio
• Bryuno function and the standard map, GENTILE, GUIDO, , 2001Link identifier #identifier_person_174112-66 Dettaglio
• Non-universal behaviour of scaling properties for generalized semistandard and standard maps, GENTILE, GUIDO, , 2001Link identifier #identifier_person_118628-67 Dettaglio
• On the dynamics of a vertically driven damped planar pendulum, GENTILE, GUIDO, , 2001Link identifier #identifier_person_182969-68 Dettaglio
• Renormalization group and field theoretic techniques for the analysis of the Lindstedt series, GENTILE, GUIDO, , 2001Link identifier #identifier_person_177722-69 Dettaglio
• Renormalization group for one-dimensional fermions. A review on mathematical results, GENTILE, GUIDO, , 2001Link identifier #identifier_person_121675-70 Dettaglio
• Shape of analyticity domains of Lindstedt series: the standard map, FALCOLINI, CORRADO; GENTILE, GUIDO, , 2001Link identifier #identifier_person_15693-71 Dettaglio
• Anderson localization for the Holstein model, GENTILE, GUIDO, , 2000Link identifier #identifier_person_51268-72 Dettaglio
• Electric fields on a surface of constant negative curvature, GENTILE, GUIDO, , 2000Link identifier #identifier_person_167152-73 Dettaglio
• Hamilton-Jacobi equation, heteroclinic chains and Arnolʹd diffusion in three time scale systems, GENTILE, GUIDO, , 2000Link identifier #identifier_person_91356-74 Dettaglio
• On homoclinic splitting problems, GENTILE, GUIDO, , 2000Link identifier #identifier_person_133883-75 Dettaglio
• Scaling properties for the radius of convergence of Lindstedt series: generalized standard maps, GENTILE, GUIDO, , 2000Link identifier #identifier_person_3798-76 Dettaglio
• A field theory approach to Lindstedt series for hyperbolic tori in three time scales problems, GENTILE, GUIDO, , 1999Link identifier #identifier_person_73316-77 Dettaglio
• Melʹnikov's approximation dominance. Some examples, GENTILE, GUIDO, , 1999Link identifier #identifier_person_8075-78 Dettaglio
• On a conjecture for the critical behaviour of KAM tori, GENTILE, GUIDO, , 1999Link identifier #identifier_person_63725-79 Dettaglio
• Scaling properties for the radius of convergence of a Lindstedt series: the standard map, GENTILE, GUIDO, , 1999Link identifier #identifier_person_65654-80 Dettaglio
• Separatrix splitting for systems with three time scales, GENTILE, GUIDO, , 1999Link identifier #identifier_person_163977-81 Dettaglio
• Large deviation rule for Anosov flow, GENTILE, GUIDO, , 1998Link identifier #identifier_person_193120-82 Dettaglio
• Lindstedt series, ultraviolet divergences and Moser's theorem, GENTILE, GUIDO, , 1998Link identifier #identifier_person_71988-83 Dettaglio
• Peierls instability for the Holstein model with rational density, GENTILE, GUIDO, , 1998Link identifier #identifier_person_147437-84 Dettaglio
• Quasi linear flows on tori: regularity of their linearization, GENTILE, GUIDO, , 1998Link identifier #identifier_person_3604-85 Dettaglio
• Electrons in a lattice with an incommensurate potential, GENTILE, GUIDO, , 1997Link identifier #identifier_person_197536-86 Dettaglio
• KAM theorem revisited, GENTILE, GUIDO, , 1996Link identifier #identifier_person_25585-87 Dettaglio
• Methods of analysis of the Lindstedt series for KAM tori and renormalizability in classical mechanics. A review with some applications, GENTILE, GUIDO, , 1996Link identifier #identifier_person_194874-88 Dettaglio
• A proof of existence of whiskered tori with quasi flat homoclinic intersections in a class of almost integrable hamiltonian systems, GENTILE, GUIDO, , 1995Link identifier #identifier_person_54184-89 Dettaglio
• Field Theory and KAM tori, GENTILE, GUIDO, , 1995Link identifier #identifier_person_16876-90 Dettaglio
• Majorant series convergence for twistless KAM tori, GENTILE, GUIDO, , 1995Link identifier #identifier_person_118773-91 Dettaglio
• Tree expansion and multiscale analysis for KAM tori, GENTILE, GUIDO, , 1995Link identifier #identifier_person_4688-92 Dettaglio
• Whiskered tori with prefixed frequencies and Lyapunov spectrum, GENTILE, GUIDO, , 1995Link identifier #identifier_person_92019-93 Dettaglio
• Renormalization group and the ultraviolet problem in the Luttinger liquid, GENTILE, GUIDO, , 1993Link identifier #identifier_person_171304-94 Dettaglio

Libro

• GENTILE, GUIDO, Introduzione ai sistemi dinamici - Volume 2, issn 2038-5714, vol. 133, 2022 Link identifier #identifier_person_104891-95Dettaglio
• GENTILE, GUIDO, Introduzione ai sistemi dinamici - Volume 1, issn 2038-5714, vol. 132, 2021 Link identifier #identifier_person_46968-96Dettaglio
• GENTILE, GUIDO, Aspects of ergodic, qualitative and statistical theory of motion, pp. 1 435, 2004 Link identifier #identifier_person_16564-97Dettaglio

Contributo in volume e atti di convegno

• GENTILE, GUIDO, Diagrammatic methods in classical perturbation theory, vol. 2, pp. 1932 1948, 2009 Link identifier #identifier_person_118407-98Dettaglio
• GENTILE, GUIDO, Brjuno numbers and dynamical systems, pp. 585 599, 2006 Link identifier #identifier_person_104737-99Dettaglio
• GENTILE, GUIDO, Diagrammatic techniques in perturbation theory, vol. 2, pp. 54 60, 2006 Link identifier #identifier_person_177058-100Dettaglio
• GENTILE, GUIDO, Stability theory and KAM, vol. 5, pp. 26 32, 2006 Link identifier #identifier_person_78018-101Dettaglio
• GENTILE, GUIDO, Periodic solutions for zero-mass nonlinear wave equations, pp. 115 123, 2005 Link identifier #identifier_person_30430-102Dettaglio
• GENTILE, GUIDO, Renormalization group and summation of divergent series for hyperbolic invariant tori, pp. 82 89, 2002 Link identifier #identifier_person_165940-103Dettaglio
• GENTILE, GUIDO, A possible mechanism for the KAM tori breakdown, NATO ADVANCED STUDY INSTITUTES SERIES. SERIES C, MATHEMATICAL AND PHYSICAL SCIENCES, issn 0377-2071, vol. 533, pp. 372 376, 1999 Link identifier #identifier_person_19611-104Dettaglio
• GENTILE, GUIDO, Diagrammatic techniques in perturbations theory, and applications, pp. 59 78, 1999 Link identifier #identifier_person_101109-105Dettaglio