تقرير
From Poincare Maps to Lagrangian Descriptors: The Case of the Valley Ridge Inflection Point Potential
| العنوان: | From Poincare Maps to Lagrangian Descriptors: The Case of the Valley Ridge Inflection Point Potential |
|---|---|
| المؤلفون: | Crossley, R., Agaoglou, M., Katsanikas, M., Wiggins, S. |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics Nonlinear Sciences Physics (Other) |
| مصطلحات موضوعية: | Nonlinear Sciences - Chaotic Dynamics, Mathematics - Dynamical Systems, Physics - Chemical Physics, 37N99, 70K44, 70H05, 70H07, 34C45, 34C37 |
| الوصف: | In this paper we compare the method of Lagrangian descriptors with the classical method of Poincare maps for revealing the phase space structure of two degree-of-freedom Hamiltonian systems. The comparison is carried out by considering the dynamics of a two degree-of-freedom system having a valley ridge inflection point (VRI) potential energy surface. VRI potential energy surfaces have four critical points: a high energy saddle and a lower energy saddle separating two wells. In between the two saddle points is a valley ridge inflection point that is the point where the potential energy surface geometry changes from a valley to a ridge. The region between the two saddles forms a reaction channel and the dynamical issue of interest is how trajectories cross the high energy saddle, evolve towards the lower energy saddle, and select a particular well to enter. Lagrangian descriptors and Poincare maps are compared for their ability to determine the phase space structures that govern this dynamical process. Comment: 19 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1134/S1560354721020040 |
| الوصول الحر: | http://arxiv.org/abs/2102.04904Test |
| رقم الانضمام: | edsarx.2102.04904 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1134/S1560354721020040 |
|---|