Nonlinear wave propagation in locally dissipative metamaterials via Hamiltonian perturbation approach A Fortunati, A Bacigalupo, M Lepidi, A Arena, W Lacarbonara Nonlinear Dynamics 108 (2), 765-787, 2022 | 29 | 2022 |
Persistence of Diophantine flows for quadratic nearly integrable Hamiltonians under slowly decaying aperiodic time dependence A Fortunati, S Wiggins Regular and Chaotic Dynamics 19 (5), 586-600, 2014 | 13 | 2014 |
Negligibility of small divisor effects in the normal form theory for nearly-integrable Hamiltonians with decaying non-autonomous perturbations A Fortunati, S Wiggins Celestial Mechanics and Dynamical Astronomy 125 (2), 247-262, 2016 | 9 | 2016 |
Free propagation of resonant waves in nonlinear dissipative metamaterials A Fortunati, A Arena, M Lepidi, A Bacigalupo, W Lacarbonara Proceedings of the Royal Society A 480 (2287), 20230759, 2024 | 8 | 2024 |
A Kolmogorov theorem for nearly integrable Poisson systems with asymptotically decaying time-dependent perturbation A Fortunati, S Wiggins Regular and Chaotic Dynamics 20, 476-485, 2015 | 8 | 2015 |
Normal form and Nekhoroshev stability for nearly integrable Hamiltonian systems with unconditionally slow aperiodic time dependence A Fortunati, S Wiggins Regular and Chaotic Dynamics 19, 363-373, 2014 | 8 | 2014 |
Normal forms\a la Moser for aperiodically time-dependent Hamiltonians in the vicinity of a hyperbolic equilibrium A Fortunati, S Wiggins 10.3934/dcdss.2016044 9 (4), 1109-1118, 2016 | 5 | 2016 |
Integrability and strong normal forms for non-autonomous systems in a neighbourhood of an equilibrium A Fortunati, S Wiggins Journal of Mathematical Physics 57 (9), 2016 | 4 | 2016 |
A Lie transform approach to the construction of Lyapunov functions in autonomous and non-autonomous systems A Fortunati, S Wiggins Journal of Mathematical Physics 60 (8), 2019 | 3 | 2019 |
Travelling waves over an arbitrary bathymetry: a local stability result A Fortunati Dynamics of Partial Differential Equations 15 (1), 81-94, 2018 | 2 | 2018 |
The Kolmogorov-Arnold-Moser (KAM) and Nekhoroshev Theorems with Arbitrary Time Dependence A Fortunati, S Wiggins Essays in Mathematics and its Applications: In Honor of Vladimir Arnold, 89-99, 2016 | 2 | 2016 |
Fast drift and diffusion in a class of isochronous systems with the windows method A Fortunati Mathematical Physics, Analysis and Geometry 20, 1-27, 2017 | 1 | 2017 |
On the constructivity of the variational approach to Arnold’s Diffusion A Fortunati Physica D: Nonlinear Phenomena 468, 134297, 2024 | | 2024 |
Analytical solutions for ultra-fast precessional switching in inertial magnetization dynamics A Fortunati, M d'Aquino, C Serpico arXiv preprint arXiv:2410.16933, 2024 | | 2024 |
Spectro-hierarchical homogenization scheme for elasto-dynamic problems in periodic Cauchy materials A Fortunati, D Misseroni, A Bacigalupo Applied Mathematical Modelling 132, 366-383, 2024 | | 2024 |
Controlled Quasi-Latitudinal Solutions for Ultra-Fast Spin-Torque Magnetization Switching A Fortunati, M d’Aquino, C Serpico International Journal of Bifurcation and Chaos 34 (05), 2450056, 2024 | | 2024 |
Transient Invariant and Quasi-Invariant Structures in an Example of an Aperiodically Time Dependent Fluid Flow A Fortunati, S Wiggins International Journal of Bifurcation and Chaos 28 (05), 1830015, 2018 | | 2018 |
Heteroclinic intersections and Arnoldʼs diffusion: comparison and analysis of two methods A Fortunati University of L'Aquila., 2012 | | 2012 |