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Gentile, Guido - Dipartimento di Fisica, Università di Roma "La Sapienza"
Quasi-periodic solutions for two-level systems Guido Gentile
Majorant series convergence for twistless KAM tori Giovanni Gallavotti, Guido Gentile 1
A proof of existence of whiskered tori with quasi flat homoclinic intersections in a class of almost integrable hamiltonian systems
Large deviation rule for Anosov flows Guido Gentile
Lindstedt series, ultraviolet divergences and Moser's theorem
SCALING PROPERTIES FOR THE RADIUS OF CONVERGENCE OF A LINDSTEDT SERIES
Hamilton-Jacobi equation, heteroclinic chains and Arnol'd diffusion in three time scales systems
Electric fields on a surface of constant negative curvature
Anderson Localization for the Holstein model and V. Mastropietro
THE SHAPE OF ANALYTICITY DOMAINS OF LINDSTEDT SERIES: THE STANDARD MAP
SCALING PROPERTIES FOR THE RADIUS OF CONVERGENCE OF LINDSTEDT SERIES: GENERALIZED STANDARD MAPS
Renormalization Group for One-Dimensional Fermions. A Review on Mathematical Results
RENORMALIZATION GROUP AND FIELD THEORETIC TECHNIQUES
Periodic and quasi-periodic orbits for the standard map Alberto Berretti
Global attraction to the origin in a parametrically-driven nonlinear oscillator
COMMUNICATIONS ON Website: http://AIMsciences.org PURE AND APPLIED ANALYSIS
Construction of periodic solutions of nonlinear wave equations with Dirichlet boundary conditions
1: Fractional Lindstedt series Fractional Lindstedt series
Resummation of perturbation series and reducibility for Bryuno skew-product flows
Globally and locally attractive solutions for quasi-periodically forced systems
Degenerate lower-dimensional tori under the Bryuno condition
Bifurcation phenomena and attractive periodic solutions in the saturating inductor circuit
Periodic attractors for the varactor equation Michele V. Bartuccelli
Periodic solutions for the Schrodinger equation with nonlocal smoothing nonlinearities in higher dimension
Construction of quasi-periodic response solutions in forced strongly dissipative systems
Stability theory and KAM Guido Gentile
On the Stability of the Upside-Down Pendulum with Damping
Hyperbolic low-dimensional invariant tori and summations of divergent series
Diagrammatic techniques in perturbation theory Guido Gentile
Quasi linear flows on tori: regularity of their linearization
Borel summability and Lindstedt series , G. Gallavotti2
BREAKDOWN OF LINDSTEDT EXPANSION FOR CHAOTIC MAPS GUIDO GENTILE AND TITUS S. VAN ERP
Peierls instability for the Holstein model with rational density
Periodic solutions for a class of nonlinear partial differential equations in higher dimension
Response solutions for arbitrary quasi-periodic perturbations with Bryuno frequency vector
Stability for quasi-periodically perturbed Hill's equations
d tongues for a resonant injection-locked frequency divider: analytical and numerical results
SCALING OF THE CRITICAL FUNCTION FOR THE STANDARD MAP: SOME NUMERICAL RESULTS
Quasi-periodic attractors, Borel summability and the Bryuno condition for strongly dissipative systems
On a Class of Integrable Time-Dependent Dynamical Systems
Invariant sets for the varactor equation M.V. Bartuccelli
BRYUNO FUNCTION AND THE STANDARD MAP ALBERTO BERRETTI AND GUIDO GENTILE
KAM theory in configuration space and cancellations in the Lindstedt series
Diagrammatic Methods in Classical Perturbation Theory
Quasi-periodic motions in dynamical systems. Review of a renormalisation group approach
KAM theory, Lindstedt series and the stability of the upside-down pendulum
On a conjecture for the critical behaviour of KAM tori Federico Bonetto
Melnikov theory to all orders and Puiseux series for subharmonic solutions
Periodic solutions for completely resonant nonlinear wave equations with Dirichlet boundary conditions
KAM theorem revisited , V. Mastropietro
NON-UNIVERSAL BEHAVIOUR OF SCALING PROPERTIES FOR GENERALIZED
Pure point spectrum for two-level systems in a strong quasi-periodic field
On the Dynamics of a Vertically Driven Damped Planar Pendulum
Summation of divergent series and Borel summability for strongly dissipative equations
Methods for the analysis of the Lindstedt series for KAM tori
Conservation of resonant periodic solutions for the one-dimensional nonlinear Schrodinger equation
Lindstedt series for perturbations of isochronous systems. A review of the general theory
SELECTION RULES FOR PERIODIC ORBITS AND SCALING LAWS FOR A DRIVEN DAMPED QUARTIC OSCILLATOR
Quasi-periodic motions in strongly dissipative forced systems
Tree expansion and multiscale analysis for KAM tori
1: Degenerate elliptic resonances Degenerate elliptic resonances
1. Random chaos 1 A fluctuation theorem in a random environment
Whiskered tori with prefixed frequencies and Lyapunov spectrum