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Эта публикация цитируется в 49 научных статьях (всего в 49 статьях)
The Role of Normally Hyperbolic Invariant Manifolds (NHIMs) in the Context of the Phase Space Setting for Chemical Reaction Dynamics
Stephen Wiggins School of Mathematics, University of Bristol,
Bristol, BS8 1TW, United Kingdom
Аннотация:
In this paper we give an introduction to the notion of a normally hyperbolic invariant manifold (NHIM) and its role in chemical reaction dynamics. We do this by considering simple examples for one-, two-, and three-degree-of-freedom systems where explicit calculations can be carried out for all of the relevant geometrical structures and their properties can be explicitly understood. We specifically emphasize the notion of a NHIM as a “phase space concept”. In particular, we make the observation that the (phase space) NHIM plays the role of “carrying” the (configuration space) properties of a saddle point of the potential energy surface into phase space.
We also consider an explicit example of a 2-degree-of-freedom system where a “global” dividing surface can be constructed using two index one saddles and one index two saddle. Such a dividing surface has arisen in several recent applications and, therefore, such a construction may be of wider interest.
Ключевые слова:
normally hyperbolic invariant manifolds, chemical reaction dynamics, dividing surface, phase space transport, index $k$ saddle points.
Поступила в редакцию: 12.10.2016 Принята в печать: 04.11.2016
Образец цитирования:
Stephen Wiggins, “The Role of Normally Hyperbolic Invariant Manifolds (NHIMs) in the Context of the Phase Space Setting for Chemical Reaction Dynamics”, Regul. Chaotic Dyn., 21:6 (2016), 621–638
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd213 https://www.mathnet.ru/rus/rcd/v21/i6/p621
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