On a conjecture for the critical behaviour of KAM tori.
Page 1
Displaying 1 – 4 of 4
On one approach to investigation of mechanical systems.
Irtegov, Valentin D., Titorenko, Tatyana N. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
One-dimensional motion of balls.
Garipov, R.M. (2005)
Sibirskij Matematicheskij Zhurnal
Optimal stability and instability results for a class of nearly integrable Hamiltonian systems
Massimiliano Berti, Luca Biasco, Philippe Bolle (2002)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
We consider nearly integrable, non-isochronous, a-priori unstable Hamiltonian systems with a (trigonometric polynomial) -perturbation which does not preserve the unperturbed tori. We prove the existence of Arnold diffusion with diffusion time by a variational method which does not require the existence of «transition chains of tori» provided by KAM theory. We also prove that our estimate of the diffusion time is optimal as a consequence of a general stability result proved via classical perturbation...
Currently displaying 1 – 4 of 4
Page 1