Zobrazeno 1 - 10
of 143
pro vyhledávání: '"Katsanikas, M."'
Autor:
Katsanikas, M., Patsis, P.
We study the phase space structure and the orbital diffusion from the vicinity of the vertical Lyapunov periodic orbits around the unstable Lagrangian points L1,2 in a 3D barred galaxy model. By perturbing the initial conditions of these periodic orb
Externí odkaz:
http://arxiv.org/abs/2209.10249
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:
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
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
Publikováno v:
Phys. Rev. E 102, 012215 (2020)
In this paper we unveil the geometrical template of phase space structures that governs transport in a Hamiltonian system described by a potential energy surface with an entrance/exit channel and two wells separated by an index-1 saddle. For the anal
Externí odkaz:
http://arxiv.org/abs/2004.10179