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This article is cited in 7 scientific papers (total in 7 papers)
On the Number of Heteroclinic Curves of Diffeomorphisms with Surface Dynamics
Vyacheslav Z. Grines, Elena Ya. Gurevich, Olga V. Pochinka National Research University Higher School of Economics,
ul. Bolshaya Pecherskaya 25/12, Nizhny Novgorod, 603155 Russia
Abstract:
Separators are fundamental plasma physics objects that play an important role in many astrophysical phenomena. Looking for separators and their number is one of the first steps in studying the topology of the magnetic field in the solar corona. In the language of dynamical systems, separators are noncompact heteroclinic curves. In this paper we give an exact lower estimation of the number of noncompact heteroclinic curves for a 3-diffeomorphism with the so-called “surface dynamics”. Also, we prove that ambient manifolds for such diffeomorphisms are mapping tori.
Keywords:
separator in a magnetic field, heteroclinic curves, mapping torus, gradient-like diffeomorphisms.
Received: 10.10.2016 Accepted: 17.11.2016
Citation:
Vyacheslav Z. Grines, Elena Ya. Gurevich, Olga V. Pochinka, “On the Number of Heteroclinic Curves of Diffeomorphisms with Surface Dynamics”, Regul. Chaotic Dyn., 22:2 (2017), 122–135
Linking options:
https://www.mathnet.ru/eng/rcd246 https://www.mathnet.ru/eng/rcd/v22/i2/p122
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Abstract page: | 1856 | References: | 31 |
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