[图书][B] Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom:(AMS-208)
V Kaloshin, K Zhang - 2020 - books.google.com
The first complete proof of Arnold diffusion—one of the most important problems in
dynamical systems and mathematical physics Arnold diffusion, which concerns the …
dynamical systems and mathematical physics Arnold diffusion, which concerns the …
[图书][B] Action-minimizing methods in Hamiltonian dynamics (MN-50): An introduction to Aubry-Mather theory
A Sorrentino - 2015 - books.google.com
John Mather's seminal works in Hamiltonian dynamics represent some of the most important
contributions to our understanding of the complex balance between stable and unstable …
contributions to our understanding of the complex balance between stable and unstable …
A strong form of Arnold diffusion for two and a half degrees of freedom
V Kaloshin, K Zhang - arXiv preprint arXiv:1212.1150, 2012 - arxiv.org
In the present paper we prove a strong form of Arnold diffusion. Let $\mathbb {T}^ 2$ be the
two torus and $ B^ 2$ be the unit ball around the origin in $\mathbb {R}^ 2$. Fix $\rho> 0 …
two torus and $ B^ 2$ be the unit ball around the origin in $\mathbb {R}^ 2$. Fix $\rho> 0 …
Locally maximising orbits for the non-standard generating function of convex billiards and applications
M Bialy, D Tsodikovich - Nonlinearity, 2023 - iopscience.iop.org
Locally maximising orbits for the non-standard generating function of convex billiards and
applications Page 1 Nonlinearity PAPER • OPEN ACCESS Locally maximising orbits for the …
applications Page 1 Nonlinearity PAPER • OPEN ACCESS Locally maximising orbits for the …
Locally Maximizing orbits for multi-dimensional Twist maps and Birkhoff billiards
M Bialy, D Tsodikovich - arXiv preprint arXiv:2304.10146, 2023 - arxiv.org
In this work we consider variational properties of exact symplectic twist maps $ T $ that act
on the cotangent bundle of a torus, or on a ball bundle over a sphere. An example of such a …
on the cotangent bundle of a torus, or on a ball bundle over a sphere. An example of such a …
Inverse problems and rigidity questions in billiard dynamics
V Kaloshin, A Sorrentino - Ergodic Theory and Dynamical Systems, 2022 - cambridge.org
A Birkhoff billiard is a system describing the inertial motion of a point mass inside a strictly
convex planar domain, with elastic reflections at the boundary. The study of the associated …
convex planar domain, with elastic reflections at the boundary. The study of the associated …
Aubry-Mather sets in semilinear asymmetric Duffing equations
X Wang - Advances in Difference Equations, 2016 - Springer
In this paper, by introducing an appropriate action-angle variable transformation and
adopting a new estimate method, we prove the existence of Aubry-Mather sets to a class of …
adopting a new estimate method, we prove the existence of Aubry-Mather sets to a class of …
[PDF][PDF] On John Mather's seminal contributions in Hamiltonian dynamics
A Sorrentino - Methods and Applications of Analysis, 2019 - mat.uniroma2.it
ON JOHN MATHER’S SEMINAL CONTRIBUTIONS IN HAMILTONIAN DYNAMICS John N.
Mather was undoubtedly one of the most influential math Page 1 METHODS AND …
Mather was undoubtedly one of the most influential math Page 1 METHODS AND …