Naslov
Arnold's diffusion and formally gradient dynamics of the action functional

Autori
Slijepčević, Siniša

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Equadiff 2015 / - , 2015, 1-1

Skup
Equadiff 2015

Mjesto i datum
Lyon, Francuska, 06.07.2015. - 10.07.2015

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Arnold's diffusion ; Lagrangian systems

Sažetak
We prove existence of Arnold's di usion in the well-known Arnold's example of a two and a half degreesof freedom Hamiltonian, for all values of the parameters ; i.e. in the entire range from arbitrarily close to far from integrable. We introduce a new technique of considering formally gradient dynamics of the action functional. The approach relies on the emerging theory ofextended gradient systems, including their asymptotics and stability, combined with a version of the Morse-Sard theorem, and geometric and variationalinformation of the original equation. We compare the approach with some recent results on Arnold's di usion with either geometric or variational approach.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA