KAM tori for N-body problems: a brief history

2007 ◽  
pp. 117-139
Author(s):  
A. Celletti ◽  
L. Chierchia
Keyword(s):  
Kam Tori

scholarly journals Large KAM Tori for Quasi-linear Perturbations of KdV

2021 ◽  
Author(s):  
Massimiliano Berti ◽  
Thomas Kappeler ◽  
Riccardo Montalto
Keyword(s):  
Kam Tori ◽  
Linear Perturbations

Kam Tori for Modulated Symplectic Maps

1994 ◽  
pp. 140-153
Author(s):  
Armando Bazzani
Keyword(s):  
Kam Tori ◽  
Symplectic Maps

scholarly journals A Possible Mechanism for the Kam Tori Breakdown

1999 ◽  
pp. 372-376 ◽  
Author(s):  
Guido Gentile ◽  
Vieri Mastropietro
Keyword(s):  
Kam Tori

scholarly journals Transient Invariant and Quasi-Invariant Structures in an Example of an Aperiodically Time Dependent Fluid Flow

2018 ◽  
Vol 28 (05) ◽  
pp. 1830015
Author(s):  
Alessandro Fortunati ◽  
Stephen Wiggins
Keyword(s):  
Fluid Transport ◽  
Kam Tori ◽  
Integrable Hamiltonian Systems ◽  
Rigorous Results ◽  
Asymptotically Flat ◽  
Invariant Structures ◽  
Transient Feature ◽  
Real Analytic ◽  
Nearly Integrable Hamiltonian Systems

Starting from the concept of invariant KAM tori for nearly-integrable Hamiltonian systems with periodic or quasi-periodic nonautonomous perturbation, the paper analyzes the “analogue” of this class of invariant objects when the dependence on time is aperiodic. The investigation is carried out in a model motivated by the problem of a traveling wave in a channel over a smooth, quasi- and asymptotically flat (from which the “transient” feature) bathymetry, representing a case in which the described structures play the role of barriers to fluid transport in phase space. The paper provides computational evidence for the existence of transient structures also for “large” values of the perturbation size, as a complement to the rigorous results already proven by the first author for real-analytic bathymetry functions.

scholarly journals Periodic solutions, KAM tori and bifurcations in a cosmology-inspired potential

Nonlinearity ◽  
2019 ◽  
Vol 32 (9) ◽  
pp. 3406-3444 ◽  
Author(s):  
J F Palacián ◽  
C Vidal ◽  
J Vidarte ◽  
P Yanguas
Keyword(s):  
Periodic Solutions ◽  
Kam Tori

scholarly journals Explicit estimates on the measure of primary KAM tori

2017 ◽  
Vol 197 (1) ◽  
pp. 261-281 ◽  
Author(s):  
L. Biasco ◽  
L. Chierchia
Keyword(s):  
Kam Tori

Wigner measures supported on weak KAM tori

2014 ◽  
Vol 123 (1) ◽  
pp. 107-137 ◽  
Author(s):  
Alberto Parmeggiani ◽  
Lorenzo Zanelli
Keyword(s):  
Kam Tori
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