Aubry-Mather sets in semilinear asymmetric Duffing equations

نویسندگان

چکیده

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

Aubry Sets Vs Mather Sets in Two Degrees of Freedom

Let L be an autonomous Tonelli Lagrangian on a closed manifold of dimension two. Let C be the set of cohomology classes whose Mather set consists of periodic orbits, none of which is a fixed point. Then for almost all c in C, the Aubry set of c equals the Mather set of c.

متن کامل

Twist Maps and Aubry-Mather Sets

For an area-preserving twist map F of a finite annulus, we obtain “quasi-foliations” of the annulus by one-sided-F -invariant graphs of functions that are either continuous (in which case the graph is a fully invariant curve) or have countably many jump discontinuities. For each of the one-sided-invariant graphs there is a well defined (one-sided) rotation number and all the numbers between the...

متن کامل

Perturbation Theory for Viscosity Solutions of Hamilton-Jacobi Equations and Stability of Aubry-Mather Sets

In this paper we study the stability of integrable Hamiltonian systems under small perturbations, proving a weak form of the KAM/Nekhoroshev theory for viscosity solutions of Hamilton-Jacobi equations. The main advantage of our approach is that only a finite number of terms in an asymptotic expansion are needed in order to obtain uniform control. Therefore there are no convergence issues involv...

متن کامل

Boundedness for Semilinear Duffing Equations at Resonance

In this paper, we prove the boundedness of all solutions for the equation x + n 2 x + φ(x) + g (x)q(t) = 0, where n ∈ N, q(t) = q(t + 2π), φ(x) and g(x) are bounded.

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: Advances in Difference Equations

سال: 2016

ISSN: 1687-1847

DOI: 10.1186/s13662-016-1024-y