Zobrazeno 1 - 10
of 200
pro vyhledávání: '"Dullin, Holger"'
Autor:
Dawson, Sean, Dullin, Holger
We study the family of quantum integrable systems that arise from separating the Schr\"odinger equation in all 6 separable orthogonal coordinates on the 3 sphere: ellipsoidal, prolate, oblate, Lam\'{e}, spherical and cylindrical. On the one hand each
Externí odkaz:
http://arxiv.org/abs/2405.08778
Autor:
Dullin, Holger R
We show that the Lagrange top with a linearly time-dependent moment of inertia is equivalent to the degenerate fifth Painlev\'e equation. More generally we show that the harmonic Lagrange top (the ordinary Lagrange top with a quadratic term added in
Externí odkaz:
http://arxiv.org/abs/2310.05533
Autor:
Albouy, Alain, Dullin, Holger R.
Publikováno v:
Geometric Mechanics, Vol. 1, No. 1 (2024) 2450003 (7 pages)
We consider the Newtonian 3-body problem in dimension 4, and fix a value of the angular momentum which is compatible with this dimension. We show that the energy function cannot tend to its infimum on an unbounded sequence of states. Consequently the
Externí odkaz:
http://arxiv.org/abs/2309.14579
We investigate the extent to which the probabilistic properties of a chaotic scattering system with dissipation can be understood from the properties of the dissipation-free system. For large energies $E$, a fully chaotic scattering leads to an expon
Externí odkaz:
http://arxiv.org/abs/2308.13555
We show that the space of orthogonally separable coordinates on the sphere $S^3$ induces a natural family of integrable systems, which after symplectic reduction leads to a family of integrable systems on $S^2 \times S^2$. The generic member of the f
Externí odkaz:
http://arxiv.org/abs/2302.13270
The harmonic Lagrange top is the Lagrange top plus a quadratic (harmonic) potential term. We describe the top in the space fixed frame using a global description with a Poisson structure on $T^*S^3$. This global description naturally leads to a ratio
Externí odkaz:
http://arxiv.org/abs/2111.14052
Autor:
Rafat, M. Z., Dullin, Holger R., Kuhlmey, Boris T., Tuniz, Alessandro, Luo, Haoyuan, Roy, Dibyendu, Skinner, Sean, Alexander, Tristram J., Wheatland, Michael S., de Sterke, C. Martijn
We consider the motion of a light sail that is accelerated by a powerful laser beam. We derive the equations of motion for two proof-of-concept sail designs with damped internal degrees of freedom. Using linear stability analysis we show that perturb
Externí odkaz:
http://arxiv.org/abs/2106.10961
Autor:
Duignan, Nathan, Dullin, Holger R.
Publikováno v:
Nonlinearity 34 (2021) 4944-4982
The dynamics of the 4-body problem allows for two binary collisions to occur simultaneously. It is known that in the collinear 4-body problem this simultaneous binary collision (SBC) can be block-regularised, but that the resulting block map is only
Externí odkaz:
http://arxiv.org/abs/2103.13004
Autor:
Dullin, Holger R., Marangell, Robert
We study the point spectrum of the linearisation of Euler's equation for the ideal fluid on the torus about a shear flow. By separation of variables the problem is reduced to the spectral theory of a complex Hill's equation. Using Hill's determinant
Externí odkaz:
http://arxiv.org/abs/2101.05920
Autor:
Dullin, Holger R., Marangell, Robert
Publikováno v:
In Physica D: Nonlinear Phenomena January 2024 457
