On the Invariant Tori of Quasilinear Countable Systems of Differential Equations Defined on Infinite–Dimensional Tori

نویسندگان

چکیده

We consider a countable quasilinear system of differential equations defined on an infinite-dimensional torus. The problem is to find sufficient conditions under which the investigated possesses invariant torus in space bounded numerical sequences whose generating function can be approximated with any given accuracy by for some linear finite-dimensional This enables us approximate (with degree accuracy) one-parameter family solutions almost periodic Bohr’s sense quasiperiodic above-mentioned uniformly parameter.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Persistence of Invariant Tori on Submanifolds in Hamiltonian Systems

Generalizing the degenerate KAM theorem under the Rüssmann non-degeneracy and the isoenergetic KAM theorem, we employ a quasi-linear iterative scheme to study the persistence and frequency preservation of invariant tori on a smooth sub-manifold for a real analytic, nearly integrable Hamiltonian system. Under a nondegenerate condition of Rüssmann type on the sub-manifold, we shall show the follo...

متن کامل

Weakly Mixing Invariant Tori of Hamiltonian Systems

We note that every finite or infinite dimensional real-analytic Hamiltonian system with a quasi-periodic invariant KAM torus of finite dimension d ≥ 2 can be perturbed in such a way that the new real-analytic Hamiltonian system has a weakly mixing invariant torus of the same dimension.

متن کامل

Invariant Tori in Hamiltonian Systems with Impacts

It is shown that a large class of solutions in two-degree-of-freedom Hamiltonian systems of billiard type can be described by slowly varying one-degree-of-freedom Hamiltonian systems. Under some non-degeneracy conditions such systems are found to possess a large set of quasiperiodic solutions filling out two dimensional tori, which correspond to caustics in the classical billiard. This provides...

متن کامل

survey on the rule of the due & hindering relying on the sheikh ansaris ideas

قاعده مقتضی و مانع در متون فقهی کم و بیش مستند احکام قرار گرفته و مورد مناقشه فقهاء و اصولیین می باشد و مشهور معتقند مقتضی و مانع، قاعده نیست بلکه یکی از مسائل ذیل استصحاب است لذا نگارنده بر آن شد تا پیرامون این قاعده پژوهش جامعی انجام دهد. به عقیده ما مقتضی دارای حیثیت مستقلی است و هر گاه می گوییم مقتضی احراز شد یعنی با ماهیت مستقل خودش محرز گشته و قطعا اقتضاء خود را خواهد داشت مانند نکاح که ...

15 صفحه اول

Modular Invariant of Quantum Tori

The quantum modular invariant jqt(θ) of θ ∈R is defined as a discontinuous PGL2(Z)-invariant multi-valued map using the distance-to-the-nearest-integer function ‖ · ‖. For θ ∈Q it is shown that jqt(θ) =∞ and for quadratic irrationalities PARI/GP experiments suggest that jqt(θ) is a finite set. In the case of the golden mean φ, we produce explicit formulas involving weighted versions of the Roge...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Mathematical Sciences

سال: 2022

ISSN: ['1072-3374', '1573-8795']

DOI: https://doi.org/10.1007/s10958-022-05928-3