Dmitry Turaev, “Hyperbolic Sets near Homoclinic Loops to a Saddle for Systems with a First Integral”, Regul. Chaotic Dyn., 2014, том 19, выпуск 6,страницы 681

Эта публикация цитируется в 3 статьях

Hyperbolic Sets near Homoclinic Loops to a Saddle for Systems with a First Integral

Dmitry Turaev^ab

^a Lobachevsky State University of Nizhny Novgorod, pr. Gagarina 23, Nizhny Novgorod, 603950 Russia
^b Imperial College, London, SW7 2AZ UK

Аннотация: A complete description of dynamics in a neighborhood of a finite bunch of homoclinic loops to a saddle equilibrium state of a Hamiltonian system is given.

Ключевые слова: Hamiltonian system, nonintegrability and chaos, resonance crossing, Arnold diffusion.

MSC: 37J30, 37J40, 37D05, 37C29

Поступила в редакцию: 01.10.2014
Принята в печать: 14.10.2014

Язык публикации: английский

DOI: 10.1134/S1560354714060069