Search Advanced

Special Issue: Modern methods in Hamiltonian perturbation theory

Guest Editors

Dr. Marco Sansottera
Università degli Studi di Milano, Dipartimento di Matematica, 20133 Milano, Italy
Email: marco.sansottera@unimi.it


Prof. Ugo Locatelli
Università degli Studi di Roma "Tor Vergata", Dipartimento di Matematica, 00133 Roma, Italy
Email: locatell@axp.mat.uniroma2.it

Manuscript Topics

The Special Issue "Modern methods in Hamiltonian perturbation theory", in honour of Prof. Antonio Giorgilli, focuses on the following topics:


• KAM theory
• Nekhoroshev theory
• Effective stability in Hamiltonian systems
• Chaos and diffusion in Hamiltonian systems
• Stable and random motions in the planetary problem
• Long-term dynamics of nonlinear oscillator chains

Published Papers(9)

Research article
Kolmogorov variation: KAM with knobs (à la Kolmogorov)
Marco Sansottera,  Veronica Danesi
2023, Volume 5, Issue 5: 1-19. doi: 10.3934/mine.2023089
Abstract HTML PDF Cited (1) Viewed (1371)
Research article
Kolmogorov algorithm for isochronous Hamiltonian systems
Rita Mastroianni,  Christos Efthymiopoulos
2023, Volume 5, Issue 2: 1-35. doi: 10.3934/mine.2023035
Abstract HTML PDF Cited (1) Viewed (1837)
Research article
Near-resonances and detuning in classical and quantum mechanics
G. Gaeta,  G. Pucacco
2023, Volume 5, Issue 1: 1-44. doi: 10.3934/mine.2023005
Abstract HTML PDF Viewed (2364)
Research article
Normal form for lower dimensional elliptic tori in Hamiltonian systems
Chiara Caracciolo
2022, Volume 4, Issue 6: 1-40. doi: 10.3934/mine.2022051
Abstract HTML PDF Cited (6) Viewed (2097)
Research article
Foundations of physics in Milan, Padua and Paris. Newtonian trajectories from celestial mechanics to atomic physics
L. Galgani
2021, Volume 3, Issue 6: 1-24. doi: 10.3934/mine.2021045
Abstract HTML PDF Cited (2) Viewed (4573)
Research article
Low dimensional completely resonant tori in Hamiltonian Lattices and a Theorem of Poincaré
Tiziano Penati,  Veronica Danesi,  Simone Paleari
2021, Volume 3, Issue 4: 1-20. doi: 10.3934/mine.2021029
Abstract HTML PDF Cited (2) Viewed (4236)
Research article
Understanding the FPU state in FPU-like models
Giancarlo Benettin,  Antonio Ponno
2021, Volume 3, Issue 3: 1-22. doi: 10.3934/mine.2021025
Abstract HTML PDF Cited (7) Viewed (5075)
Research article
A $C^\infty$ Nekhoroshev theorem
Dario Bambusi,  Beatrice Langella
2021, Volume 3, Issue 2: 1-17. doi: 10.3934/mine.2021019
Abstract HTML PDF Cited (4) Viewed (4036)
Review
A Review of the “Third” integral
George Contopoulos
2020, Volume 2, Issue 3: 472-511. doi: 10.3934/mine.2020022
Abstract HTML PDF Cited (3) Viewed (5061)
Mathematics in Engineering
1.4 2.2
Copyright © AIMS Press