Results 21 to 30 of about 180 (56)
Generalized van der Waals Hamiltonian: Periodic orbits and C [PDF]
, 2012 Agraïments: The first author was partially supported by grant number PEII09-0220-0222. The third author was partially supported by Fundación Séneca de la Región de Murcia grant number 12001/PI ...
A. Elipe +8 more
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Alexandria Engineering Journal, 2020 In this research, analytical and numerical solutions are studied of a two–dimensional discrete electrical lattice, which is mathematically represented by the modified Zakharov–Kuznetsov equation.
Choonkil Park +4 more
doaj
On the minimum exit rate for a diffusion process pertaining to a chain of distributed control systems with random perturbations [PDF]
, 2014 In this paper, we consider the problem of minimizing the exit rate with which a diffusion process pertaining to a chain of distributed control systems, with random perturbations, exits from a given bounded open domain.
Getachew K. Befekadu +2 more
core
Periodic orbits associated to Hamiltonian functions of degree four [PDF]
, 2014 We consider the Hamiltonian polynomial function H of degree fourth given by either H(x,y,{p_x},{p_y}) = \frac{1}{2}(p_x^2 + p_y^2) + \frac{1}{2}({x^2} + {y^2}) + {V_3}(x,y) + {V_4}(x,y),\,\,{\text{or}}\,H(x,y,{p_x},{p_y}) = \frac{1}{2}( - p_x^2 + p_y^2)
Claudio Vidal +2 more
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Linear Stability of Periodic Trajectories in Inverse Magnetic Billiards [PDF]
arXiv, 2021 We study the stability of periodic trajectories of planar inverse magnetic billiards, a dynamical system whose trajectories are straight lines inside a connected planar domain $\Omega$ and circular arcs outside $\Omega$. Explicit examples are calculated in circles, ellipses, and the one parameter family of curves $x^{2k}+y^{2k}=1$. Comparisons are made
arxiv
A Renormalization Proof of the KAM Theorem for Non-Analytic Perturbations [PDF]
Reviews in Mathematical Physics, Vol. 19, No. 6 (2007) 639-675, 2006 We shall use a Renormalization Group (RG) scheme in order to prove the classical KAM result in the case of a non-analytic perturbation (the latter will be assumed to have continuous derivatives up to a sufficiently large order). We shall proceed by solving a sequence of problems in which the perturbations are analytic approximations of the original one.
arxiv +1 more source
, 2014 The aim of this paper is to prove a Kolmogorov-type result for a nearly-integrable Hamiltonian, quadratic in the actions, with an aperiodic time dependence.
A Celletti +24 more
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Stability Properties of the Riemann Ellipsoids [PDF]
, 2000 We study the ellipticity and the ``Nekhoroshev stability'' (stability properties for finite, but very long, time scales) of the Riemann ellipsoids. We provide numerical evidence that the regions of ellipticity of the ellipsoids of types II and III are larger than those found by Chandrasekhar in the 60's and that all Riemann ellipsoids, except a finite ...
arxiv +1 more source
Symplectic Model Reduction of Hamiltonian Systems [PDF]
, 2015 In this paper, a symplectic model reduction technique, proper symplectic decomposition (PSD) with symplectic Galerkin projection, is proposed to save the computational cost for the simplification of large-scale Hamiltonian systems while preserving the ...
Mohseni, Kamran, Peng, Liqian
core
Evolution to mirror-symmetric galaxies
, 2023 The evolution of a rotating axisymmetric galaxy from an asymmetric state to a state of mirror symmetry with respect to the galactic plane has as basic result that in the asymmetric initial state the perpendicular $z$ normal mode is unstable for the $1:1$
Verhulst, Ferdinand
core