Zobrazeno 1 - 10
of 117
pro vyhledávání: '"70Hxx"'
Publikováno v:
J. Phys. A: Math. Theor. 57 (2024) 395204 (31pp)
If $\eta$ is a contact form on a manifold $M$ such that the orbits of the Reeb vector field form a simple foliation $\mathcal{F}$ on $M$, then the presymplectic 2-form $d\eta$ on $M$ induces a symplectic structure $\omega$ on the quotient manifold $N
Externí odkaz:
http://arxiv.org/abs/2404.19560
Publikováno v:
Adv. Theor. Math. Phys. Volume 28, Number 2, 599-654, 2024
We propose a generalization of the classical Tulczyjew triple as a geometric tool in Hamiltonian and Lagrangian formalisms which serves for contact manifolds. The r\^ole of the canonical symplectic structures on cotangent bundles in Tulczyjew's case
Externí odkaz:
http://arxiv.org/abs/2209.03154
Discrete variational methods show excellent performance in numerical simulations of different mechanical systems. In this paper, we introduce an iterative procedure for the solution of discrete variational equations for boundary value problems. More
Externí odkaz:
http://arxiv.org/abs/2206.08968
In this paper, high-order numerical integrators on homogeneous spaces will be presented as an application of nonholonomic partitioned Runge-Kutta Munthe-Kaas (RKMK) methods on Lie groups. A homogeneous space $M$ is a manifold where a group $G$ acts t
Externí odkaz:
http://arxiv.org/abs/2201.12022
Discrete variational methods have shown an excellent performance in numerical simulations of different mechanical systems. In this paper, we introduce an iterative method for discrete variational methods appropriate for boundary value problems. More
Externí odkaz:
http://arxiv.org/abs/2109.05559
In this work we analyze the bifurcation of dividing surfaces that occurs as a result of a pitchfork bifurcation of periodic orbits in a two degrees of freedom Hamiltonian System. The potential energy surface of the system that we consider has four cr
Externí odkaz:
http://arxiv.org/abs/2107.09623
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
Autor:
Lerman, Ariel, Zharnitsky, Vadim
Experimental realizations of trapping Bose Einstein condensate lead to a Hamiltonian system of a classical particle bouncing off a convex scatterer in the field of an attracting potential. It is shown by application of KAM theory that under some natu
Externí odkaz:
http://arxiv.org/abs/2104.03357
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