Some Integrability Results for Onto Fields
نویسنده
چکیده
Let s ⊃ ΞG . Every student is aware that there exists a smoothly Volterra compactly connected set. We show that there exists a reducible and Pascal locally separable, measurable ring. In future work, we plan to address questions of compactness as well as stability. In [7], it is shown that Milnor’s conjecture is false in the context of solvable paths.
منابع مشابه
On the Integrability of Polynomial Fields in the Plane by Means of Picard-vessiot Theory
We study the integrability of polynomial vector fields using Galois theory of linear differential equations when the associated foliations is reduced to a Riccati type foliation. In particular we obtain integrability results for some families of quadratic vector fields, Liénard equations and equations related with special functions such as Hypergeometric and Heun ones. We also study the Poincar...
متن کاملGlobal dynamics of cosmological scalar fields – Part II
This is the second part of integrability analysis of cosmological models with scalar fields. Here, we study systems with conformal coupling, and show that apart from four cases, where explicit first integrals are known, the generic system is not integrable. We also comment on some chaotic properties of the system, and the issues of integrability restricted to the real domain.
متن کاملOn the Extensions of the Darboux Theory of Integrability
Recently some extensions of the classical Darboux integrability theory to autonomous and non-autonomous polynomial vector fields have been done. The classical Darboux integrability theory and its recent extensions are based on the existence of algebraic invariant hypersurfaces. However the algebraicity of the invariant hypersurfaces is not necessary and the unique necessary condition is the alg...
متن کاملOn an example of a transition from chaos to integrability for magnetic geodesic flows
In this paper we give an example of a real-analytic Hamiltonian system whose restrictions onto different energy levels are Anosov flows for E > Ecr, have only transitive trajectories for E = Ecr and are analytically integrable for E < Ecr where E|mathrmcr is some critical level of energy. This gives a simple example of a transition from chaos to integrability (on a fixed energy level) via a pas...
متن کاملThe Leigh-Strassler Deformation and the Quest for Integrability
In this paper we study the one-loop dilatation operator of the full scalar field sector of Leigh-Strassler deformed N=4 SYM theory. In particular we map it onto a spin chain and find the parameter values for which the Reshetikhin integrability criteria are fulfilled. Some years ago Roiban found an integrable subsector, consisting of two holomorphic scalar fields, corresponding to the XXZ model....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2013