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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_16594-1 Dettaglio
• On the crest factor and its relevance in detecting turbulent behaviour in solutions of partial differential equations, GENTILE, GUIDO, , 2022Link identifier #identifier_person_35968-2 Dettaglio
• Response solutions for strongly dissipative quasi-periodically forced systems with arbitrary nonlinearities and frequencies, GENTILE, GUIDO; VAIA, FAENIA, , 2021Link identifier #identifier_person_163406-3 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_78161-4 Dettaglio
• Forced quasi-periodic oscillations in strongly dissipative systems of any finite dimension, GENTILE, GUIDO; MAZZOCCOLI, ALESSANDRO; VAIA, FAENIA, , 2019Link identifier #identifier_person_112997-5 Dettaglio
• Power computation for the triboelectric nanogenerator, GENTILE, GUIDO, , 2018Link identifier #identifier_person_115060-6 Dettaglio
• Comparisons between the pendulum with varying length and the pendulum with oscillating support, GENTILE, GUIDO, , 2017Link identifier #identifier_person_192940-7 Dettaglio
• Fast numerics for the spin orbit equation with realistic tidal dissipation and constant eccentricity, GENTILE, GUIDO, , 2017Link identifier #identifier_person_152221-8 Dettaglio
• Periodic and quasi-periodic attractors for the spin–orbit evolution of Mercury with a realistic tidal torque, GENTILE, GUIDO, , 2017Link identifier #identifier_person_62526-9 Dettaglio
• Resonant tori of arbitrary codimension for quasi-periodically forced systems, CORSI, LIVIA; GENTILE, GUIDO, , 2017Link identifier #identifier_person_157622-10 Dettaglio
• Response solutions for forced systems with large dissipation and arbitrary frequency vector, GENTILE, GUIDO; VAIA, FAENIA, , 2017Link identifier #identifier_person_141797-11 Dettaglio
• Construction of the Lyapunov Spectrum in a Chaotic System Displaying Phase Synchronization, GENTILE, GUIDO; GIULIANI, ALESSANDRO, , 2016Link identifier #identifier_person_99415-12 Dettaglio
• Stable dynamics in forced systems with sufficiently high/low driving frequency, GENTILE, GUIDO, , 2016Link identifier #identifier_person_176585-13 Dettaglio
• Basins of attraction in forced systems with time-varying dissipation, GENTILE, GUIDO, , 2015Link identifier #identifier_person_98453-14 Dettaglio
• Invariant curves for exact symplectic twist maps of the cylinder with Bryuno rotation numbers, GENTILE, GUIDO, , 2015Link identifier #identifier_person_29259-15 Dettaglio
• Resonant motions in the presence of degeneracies for quasi-periodically perturbed systems, CORSI, LIVIA; GENTILE, GUIDO, , 2015Link identifier #identifier_person_2090-16 Dettaglio
• The high-order Euler method and the spin-orbit model, GENTILE, GUIDO, , 2015Link identifier #identifier_person_134879-17 Dettaglio
• Convergent series for quasi-periodically forced strongly dissipative systems, CORSI, LIVIA; FEOLA, ROBERTO; GENTILE, GUIDO, , 2014Link identifier #identifier_person_196476-18 Dettaglio
• The effects of time-dependent dissipation on the basins of attraction for the pendulum with oscillating support, GENTILE, GUIDO, , 2014Link identifier #identifier_person_102252-19 Dettaglio
• Domains of analyticity for response solutions in strongly dissipative forced systems, CORSI, LIVIA; FEOLA, ROBERTO; GENTILE, GUIDO, , 2013Link identifier #identifier_person_84922-20 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_90252-21 Dettaglio
• On a class of Hill’s equations having explicit solutions, GENTILE, GUIDO, , 2013Link identifier #identifier_person_36998-22 Dettaglio
• Attractiveness of periodic orbits in parametrically forced systems withtime-increasing friction, GENTILE, GUIDO, , 2012Link identifier #identifier_person_180158-23 Dettaglio
• Construction of quasi-periodic response solutions in forced strongly dissipative systems, GENTILE, GUIDO, , 2012Link identifier #identifier_person_51141-24 Dettaglio
• Oscillator synchronisation for arbitrary quasi-periodic forcing, CORSI, LIVIA; GENTILE, GUIDO, , 2012Link identifier #identifier_person_165228-25 Dettaglio
• Resonances within chaos, GENTILE, GUIDO; GIULIANI, ALESSANDRO, , 2012Link identifier #identifier_person_138854-26 Dettaglio
• KAM Theory in Configuration Space and Cancellations in the Lindstedt Series, CORSI, LIVIA; GENTILE, GUIDO; PROCESI, MICHELA, , 2011Link identifier #identifier_person_21255-27 Dettaglio
• Arnolʹd tongues for a resonant injection-locked frequency divider: analytical and numerical results, GENTILE, GUIDO, , 2010Link identifier #identifier_person_172585-28 Dettaglio
• Quasiperiodic motions in dynamical systems: review of a renormalization group approach, GENTILE, GUIDO, , 2010Link identifier #identifier_person_83088-29 Dettaglio
• Quasi-periodic motions in strongly dissipative forced systems, GENTILE, GUIDO, , 2010Link identifier #identifier_person_6982-30 Dettaglio
• Frequency locking in an injection-locked frequency divider equation, GENTILE, GUIDO, , 2009Link identifier #identifier_person_6095-31 Dettaglio
• Periodic solutions for a class of nonlinear partial differential equations in higher dimension, GENTILE, GUIDO; PROCESI, MICHELA, , 2009Link identifier #identifier_person_3956-32 Dettaglio
• A fluctuation theorem in a random environment, GENTILE, GUIDO, , 2008Link identifier #identifier_person_26919-33 Dettaglio
• Melnikov theory to all orders and Puiseux series for subharmonic solutions, CORSI, LIVIA; GENTILE, GUIDO, , 2008Link identifier #identifier_person_192209-34 Dettaglio
• Periodic solutions for the Schrödinger equation with nonlocal smoothing nonlinearities in higher dimension, GENTILE, GUIDO; PROCESI, MICHELA, , 2008Link identifier #identifier_person_19021-35 Dettaglio
• Selection rules for periodic orbits and scaling laws for a driven damped quartic oscillator, GENTILE, GUIDO, , 2008Link identifier #identifier_person_161580-36 Dettaglio
• Bifurcation curves of subharmonic solutions and Melnikov theory under degeneracies, GENTILE, GUIDO, , 2007Link identifier #identifier_person_130982-37 Dettaglio
• Bifurcation phenomena and attractive periodic solutions in the saturating inductor circuit, GENTILE, GUIDO, , 2007Link identifier #identifier_person_64712-38 Dettaglio
• Borel summability and Lindstedt series, GENTILE, GUIDO; GIULIANI, ALESSANDRO, , 2007Link identifier #identifier_person_185241-39 Dettaglio
• Degenerate lower-dimensional tori under the Bryuno condition, GENTILE, GUIDO, , 2007Link identifier #identifier_person_52488-40 Dettaglio
• Globally and locally attractive solutions for quasi-periodically forced systems, GENTILE, GUIDO, , 2007Link identifier #identifier_person_136366-41 Dettaglio
• Periodic attractors for the varactor equation, GENTILE, GUIDO, , 2007Link identifier #identifier_person_156031-42 Dettaglio
• Conservation of resonant periodic solutions for the one dimensionalnonlinear Schrodinger equation., GENTILE, GUIDO; PROCESI, MICHELA, , 2006Link identifier #identifier_person_162693-43 Dettaglio
• Fractional Lindstedt series, GENTILE, GUIDO; GIULIANI, ALESSANDRO, , 2006Link identifier #identifier_person_171265-44 Dettaglio
• Invariant sets for the varactor equation, GENTILE, GUIDO, , 2006Link identifier #identifier_person_10431-45 Dettaglio
• Quasiperiodic attractors, Borel summability and the Bryuno condition for strongly dissipative systems, GENTILE, GUIDO, , 2006Link identifier #identifier_person_7870-46 Dettaglio
• Resummation of perturbation series and reducibility for Bryuno skew-product flows, GENTILE, GUIDO, , 2006Link identifier #identifier_person_174314-47 Dettaglio
• Breakdown of Lindstedt expansion for chaotic maps, GENTILE, GUIDO, , 2005Link identifier #identifier_person_54667-48 Dettaglio
• Degenerate elliptic resonances, GENTILE, GUIDO, , 2005Link identifier #identifier_person_100226-49 Dettaglio
• Periodic solutions for completely resonant nonlinear wave equations with Dirichlet boundary conditions, GENTILE, GUIDO; PROCESI, MICHELA, , 2005Link identifier #identifier_person_6648-50 Dettaglio
• Periodic solutions of completely resonant nonlinear wave equations., GENTILE, GUIDO; PROCESI, MICHELA, , 2005Link identifier #identifier_person_11265-51 Dettaglio
• Stability for quasi-periodically perturbed Hill's equations, GENTILE, GUIDO, , 2005Link identifier #identifier_person_189539-52 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_142656-53 Dettaglio
• Construction of periodic solutions of nonlinear wave equations with Dirichlet boundary conditions by the Lindstedt series method, GENTILE, GUIDO, , 2004Link identifier #identifier_person_117310-54 Dettaglio
• Convergence of Lindstedt series for the nonlinear wave equation, GENTILE, GUIDO, , 2004Link identifier #identifier_person_10708-55 Dettaglio
• Global attraction to the origin in a parametrically driven nonlinear oscillator, GENTILE, GUIDO, , 2004Link identifier #identifier_person_67026-56 Dettaglio
• Pure point spectrum for two-level systems in a strong quasi-periodic field, GENTILE, GUIDO, , 2004Link identifier #identifier_person_198927-57 Dettaglio
• Scaling of the critical function for the standard map: some numerical results, GENTILE, GUIDO, , 2004Link identifier #identifier_person_182577-58 Dettaglio
• KAM theory, Lindstedt series and the stability of the upside-down pendulum, GENTILE, GUIDO, , 2003Link identifier #identifier_person_32346-59 Dettaglio
• On a class of integrable time-dependent dynamical systems, GENTILE, GUIDO, , 2003Link identifier #identifier_person_196324-60 Dettaglio
• Quasi-periodic solutions for two-level systems, GENTILE, GUIDO, , 2003Link identifier #identifier_person_37333-61 Dettaglio
• Hyperbolic low-dimensional invariant tori and summations of divergent series, GENTILE, GUIDO, , 2002Link identifier #identifier_person_187960-62 Dettaglio
• Lindstedt series for perturbations of isochronous systems: a review of the general theory, GENTILE, GUIDO, , 2002Link identifier #identifier_person_182363-63 Dettaglio
• On the stability of the upside-down pendulum with damping, GENTILE, GUIDO, , 2002Link identifier #identifier_person_190804-64 Dettaglio
• Periodic and quasi-periodic orbits for the standard map, GENTILE, GUIDO, , 2002Link identifier #identifier_person_183095-65 Dettaglio
• Bryuno function and the standard map, GENTILE, GUIDO, , 2001Link identifier #identifier_person_182091-66 Dettaglio
• Non-universal behaviour of scaling properties for generalized semistandard and standard maps, GENTILE, GUIDO, , 2001Link identifier #identifier_person_66646-67 Dettaglio
• On the dynamics of a vertically driven damped planar pendulum, GENTILE, GUIDO, , 2001Link identifier #identifier_person_140462-68 Dettaglio
• Renormalization group and field theoretic techniques for the analysis of the Lindstedt series, GENTILE, GUIDO, , 2001Link identifier #identifier_person_24162-69 Dettaglio
• Renormalization group for one-dimensional fermions. A review on mathematical results, GENTILE, GUIDO, , 2001Link identifier #identifier_person_13901-70 Dettaglio
• Shape of analyticity domains of Lindstedt series: the standard map, FALCOLINI, CORRADO; GENTILE, GUIDO, , 2001Link identifier #identifier_person_110180-71 Dettaglio
• Anderson localization for the Holstein model, GENTILE, GUIDO, , 2000Link identifier #identifier_person_38131-72 Dettaglio
• Electric fields on a surface of constant negative curvature, GENTILE, GUIDO, , 2000Link identifier #identifier_person_21603-73 Dettaglio
• Hamilton-Jacobi equation, heteroclinic chains and Arnolʹd diffusion in three time scale systems, GENTILE, GUIDO, , 2000Link identifier #identifier_person_76701-74 Dettaglio
• On homoclinic splitting problems, GENTILE, GUIDO, , 2000Link identifier #identifier_person_8244-75 Dettaglio
• Scaling properties for the radius of convergence of Lindstedt series: generalized standard maps, GENTILE, GUIDO, , 2000Link identifier #identifier_person_180172-76 Dettaglio
• A field theory approach to Lindstedt series for hyperbolic tori in three time scales problems, GENTILE, GUIDO, , 1999Link identifier #identifier_person_78941-77 Dettaglio
• Melʹnikov's approximation dominance. Some examples, GENTILE, GUIDO, , 1999Link identifier #identifier_person_83721-78 Dettaglio
• On a conjecture for the critical behaviour of KAM tori, GENTILE, GUIDO, , 1999Link identifier #identifier_person_93530-79 Dettaglio
• Scaling properties for the radius of convergence of a Lindstedt series: the standard map, GENTILE, GUIDO, , 1999Link identifier #identifier_person_88015-80 Dettaglio
• Separatrix splitting for systems with three time scales, GENTILE, GUIDO, , 1999Link identifier #identifier_person_11375-81 Dettaglio
• Large deviation rule for Anosov flow, GENTILE, GUIDO, , 1998Link identifier #identifier_person_155064-82 Dettaglio
• Lindstedt series, ultraviolet divergences and Moser's theorem, GENTILE, GUIDO, , 1998Link identifier #identifier_person_159837-83 Dettaglio
• Peierls instability for the Holstein model with rational density, GENTILE, GUIDO, , 1998Link identifier #identifier_person_54562-84 Dettaglio
• Quasi linear flows on tori: regularity of their linearization, GENTILE, GUIDO, , 1998Link identifier #identifier_person_131003-85 Dettaglio
• Electrons in a lattice with an incommensurate potential, GENTILE, GUIDO, , 1997Link identifier #identifier_person_132221-86 Dettaglio
• KAM theorem revisited, GENTILE, GUIDO, , 1996Link identifier #identifier_person_165351-87 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_178512-88 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_167554-89 Dettaglio
• Field Theory and KAM tori, GENTILE, GUIDO, , 1995Link identifier #identifier_person_82560-90 Dettaglio
• Majorant series convergence for twistless KAM tori, GENTILE, GUIDO, , 1995Link identifier #identifier_person_54668-91 Dettaglio
• Tree expansion and multiscale analysis for KAM tori, GENTILE, GUIDO, , 1995Link identifier #identifier_person_130476-92 Dettaglio
• Whiskered tori with prefixed frequencies and Lyapunov spectrum, GENTILE, GUIDO, , 1995Link identifier #identifier_person_46206-93 Dettaglio
• Renormalization group and the ultraviolet problem in the Luttinger liquid, GENTILE, GUIDO, , 1993Link identifier #identifier_person_47124-94 Dettaglio

Libro

• GENTILE, GUIDO, Introduzione ai sistemi dinamici - Volume 2, issn 2038-5714, vol. 133, 2022 Link identifier #identifier_person_5704-95Dettaglio
• GENTILE, GUIDO, Introduzione ai sistemi dinamici - Volume 1, issn 2038-5714, vol. 132, 2021 Link identifier #identifier_person_26605-96Dettaglio
• GENTILE, GUIDO, Aspects of ergodic, qualitative and statistical theory of motion, pp. 1 435, 2004 Link identifier #identifier_person_45232-97Dettaglio

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_23112-98Dettaglio
• GENTILE, GUIDO, Brjuno numbers and dynamical systems, pp. 585 599, 2006 Link identifier #identifier_person_161801-99Dettaglio
• GENTILE, GUIDO, Diagrammatic techniques in perturbation theory, vol. 2, pp. 54 60, 2006 Link identifier #identifier_person_76499-100Dettaglio
• GENTILE, GUIDO, Stability theory and KAM, vol. 5, pp. 26 32, 2006 Link identifier #identifier_person_150685-101Dettaglio
• GENTILE, GUIDO, Periodic solutions for zero-mass nonlinear wave equations, pp. 115 123, 2005 Link identifier #identifier_person_87418-102Dettaglio
• GENTILE, GUIDO, Renormalization group and summation of divergent series for hyperbolic invariant tori, pp. 82 89, 2002 Link identifier #identifier_person_152149-103Dettaglio
• 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_152906-104Dettaglio
• GENTILE, GUIDO, Diagrammatic techniques in perturbations theory, and applications, pp. 59 78, 1999 Link identifier #identifier_person_68050-105Dettaglio