Albert D. Morozov, Eldar A. Mamedov, “On a Double Cycle and Resonances”, Regul. Chaotic Dyn., 2012, Volume 17, Issue 1,Pages <nobr>63

This article is cited in 2 papers

On a Double Cycle and Resonances

Albert D. Morozov, Eldar A. Mamedov

Department of Mathematics and Mechanics, Nizhny Novgorod State University, ul. Gagarina 23, Nizhny Novgorod, 603950 Russia

Abstract: We consider systems with 3/2 degrees of freedom close to nonlinear autonomous Hamiltonian ones in the case where the perturbed autonomous systems have a double limit cycle. Then the initial non-autonomous systems have a special resonance zone. The structure of this zone is investigated.

Keywords: cycle, resonances, average.

MSC: 34C15

Received: 20.05.2011
Accepted: 12.10.2011

Language: English

DOI: 10.1134/S1560354712010066