Zobrazeno 1 - 10
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pro vyhledávání: '"Wiggins, S"'
We apply the method of Lagrangian Descriptors (LDs) to a symmetric Caldera-type potential energy surface which has three index-1 saddles surrounding a relatively flat region that contains no minimum. Using this method we show the phase space transpor
Externí odkaz:
http://arxiv.org/abs/2205.14770
Autor:
García-Garrido, V. J., Wiggins, S.
In this paper we bring together the method of Lagrangian descriptors and the principle of least action, or more precisely, of stationary action, in both deterministic and stochastic settings. In particular, we show how the action can be used as a Lag
Externí odkaz:
http://arxiv.org/abs/2204.04728
Autor:
Katsanikas, M., Wiggins, S.
We present a method that generalizes the periodic orbit dividing surface construction for Hamiltonian systems with three or more degrees of freedom. We construct a torus using as a basis a periodic orbit and we extend this to a $2n-2$ dimensional obj
Externí odkaz:
http://arxiv.org/abs/2106.01141
In this paper, we explore the dynamics of a Hamiltonian system after a double van der Waals potential energy surface degenerates into a single well. The energy of the system is increased from the bottom of the potential well up to the dissociation en
Externí odkaz:
http://arxiv.org/abs/2105.07984
In this work, we continue the study of the bifurcations of the critical points in a symmetric Caldera potential energy surface. In particular, we study the influence of the depth of the potential on the trajectory behavior before and after the bifurc
Externí odkaz:
http://arxiv.org/abs/2105.05649
Autor:
García-Garrido, V. J., Wiggins, S.
In this paper we demonstrate that valley-ridge inflection (VRI) points of a potential energy surface (PES) have a dynamical influence on the fate of trajectories of the underlying Hamiltonian system. These points have attracted the attention of chemi
Externí odkaz:
http://arxiv.org/abs/2105.00285
In this paper we demonstrate the capability of the method of Lagrangian descriptors to unveil the phase space structures that characterize transport in high-dimensional symplectic maps. In order to illustrate its use, we apply it to a four-dimensiona
Externí odkaz:
http://arxiv.org/abs/2103.06682
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 o
Externí odkaz:
http://arxiv.org/abs/2102.04904
Many organic chemical reactions are governed by potential energy surfaces that have a region with the topographical features of a caldera. If the caldera has a symmetry then trajectories transiting the caldera region are observed to exhibit a phenome
Externí odkaz:
http://arxiv.org/abs/2102.02552
Chemical selectivity, as quantified by a branching ratio, is a phenomenon relevant for many organic chemical reactions. It may be exhibited on a potential energy surface that features a valley-ridge inflection point in the region between two sequenti
Externí odkaz:
http://arxiv.org/abs/2006.05969