✦ LIBER ✦

Semitoric integrable systems on symplectic 4-manifolds

✍ Scribed by Alvaro Pelayo; San Vũ Ngọc

Publisher: Springer-Verlag
Year: 2009
Tongue: English
Weight: 641 KB
Volume: 177
Category: Article
ISSN: 0020-9910
DOI: 10.1007/s00222-009-0190-x

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Nilpotent flows of S1-invariant Hamilton

Nilpotent flows of S1-invariant Hamiltonian systems on 4-dimensional symplectic manifolds

✍ A. M. Samoilenko; I. O. Parasyuk 📂 Article 📅 1997 🏛 Springer 🌐 English ⚖ 948 KB

Symplectic, Hermitian and Kähler Structu

Symplectic, Hermitian and Kähler Structures on Walker 4-Manifolds

✍ Eduardo García-Río; Seiya Haze; Noriaki Katayama; Yasuo Matsushita 📂 Article 📅 2008 🏛 Springer 🌐 English ⚖ 388 KB

On the Qualitative Behaviour of Symplect

On the Qualitative Behaviour of Symplectic Integrators. Part II. Integrable Systems

✍ Daniel Stoffer 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 226 KB

In this paper the numerical integration of integrable Hamiltonian systems is considered. Symplectic one-step methods are used. The discrete system is shown to be integrable up to a remainder which is exponentially small with respect to the step size of the one-step method. As a consequence it is sho

A topological invariant which roughly cl

A topological invariant which roughly classifies integrable strictly nondegenerate Hamiltonians on four-dimensional symplectic manifolds

✍ A. T. Fomenko 📂 Article 📅 1992 🏛 Springer US 🌐 English ⚖ 922 KB

Exotic involutions on symplectic 4-manif

Exotic involutions on symplectic 4-manifolds and G-monopole invariants

✍ M. Ishida 📂 Article 📅 2000 🏛 Springer 🌐 English ⚖ 138 KB

On the Qualitative Behaviour of Symplect

On the Qualitative Behaviour of Symplectic Integrators. Part III. Perturbed Integrable Systems

✍ Daniel Stoffer 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 278 KB

We consider a dissipative perturbation of an integrable Hamiltonian system. The perturbed system is assumed to admit a weakly attractive invariant torus. The system is integrated with a symplectic integrator. The discrete system also admits an attractive invariant torus for sufficiently small step-s